Interactive sound rendering

Extending the frontier of visual computing, sound rendering utilizes auditory display to communicate information to a user and offers an alternative means of visualization. By harnessing the sense of hearing, sound rendering can further enhance a user's experience in a multimodal virtual world. In addition to immersive environments, auditory displays can provide a natural and intuitive human-computer interface for many desktop applications. In this paper, we give a brief overview of recent work at UNC Chapel Hill on fast algorithms for sound synthesis and sound propagation. These include physically-based sound synthesis for rigid bodies and liquid sound generation, as well as numeric and geometric algorithms for sound propagation. We highlight their performance on different benchmarks and briefly discuss some problems for future research.

[1]  Tapio Lokki,et al.  Creating Interactive Virtual Acoustic Environments , 1999 .

[2]  Matti Karjalainen,et al.  Digital Waveguides versus Finite Difference Structures: Equivalence and Mixed Modeling , 2004, EURASIP J. Adv. Signal Process..

[3]  Dinesh Manocha,et al.  FAST EDGE-DIFFRACTION FOR SOUND PROPAGATION IN COMPLEX VIRTUAL ENVIRONMENTS , 2009 .

[4]  A. Pierce Diffraction of sound around corners and over wide barriers , 1974 .

[5]  M. Karjalainen,et al.  Blocked-based physical modeling for digital sound synthesis , 2007, IEEE Signal Processing Magazine.

[6]  Dana S. Hougland,et al.  Concert and Opera Halls: How They Sound , 1996 .

[7]  Thomas A. Funkhouser,et al.  Validating Acoustical Simulations in Bell Labs Box , 2002, IEEE Computer Graphics and Applications.

[8]  F. Asano,et al.  Role of spectral cues in median plane localization. , 1990, The Journal of the Acoustical Society of America.

[9]  Thomas Funkhouser,et al.  Survey of Methods for Modeling Sound Propagation in Interactive Virtual Environment Systems , 2003 .

[10]  P. Filippi,et al.  Acoustics: Basic Physics, Theory, and Methods , 1998 .

[11]  Pat Hanrahan,et al.  Beam tracing polygonal objects , 1984, SIGGRAPH.

[12]  Karsten Bo Rasmussen,et al.  The Effect of Head Shape on Spectral Stereo Theory , 1993 .

[13]  Jörg Lewald,et al.  Spatio-temporal constraints for auditory–visual integration , 2001, Behavioural Brain Research.

[14]  Manfred R. Schroeder,et al.  Natural Sounding Artificial Reverberation , 1962 .

[15]  N. Tsingos,et al.  Extending Geometrical Acoustics to Highly Detailed Architectural Environments , 2007 .

[16]  Manuel Menezes de Oliveira Neto,et al.  Realistic real-time sound re-synthesis and processing for interactive virtual worlds , 2009, The Visual Computer.

[17]  Christof Koch,et al.  A Model of Saliency-Based Visual Attention for Rapid Scene Analysis , 2009 .

[18]  George Drettakis,et al.  Perceptual audio rendering of complex virtual environments , 2004, ACM Trans. Graph..

[19]  Kunihiro Chihara,et al.  Real-time generation of CG and sound of liquid with bubble , 2007, SIGGRAPH '07.

[20]  Christof Faller,et al.  Binaural Cue Coding Applied to Audio Compression with Flexible Rendering , 2002 .

[21]  Vlastimil Havran,et al.  Hierarchical visibility culling with occlusion trees , 1998, Proceedings. Computer Graphics International (Cat. No.98EX149).

[22]  Brian Santo,et al.  Multicore made simple , 2009, IEEE Spectrum.

[23]  Michael Wimmer,et al.  Fast exact from-region visibility in urban scenes , 2005, EGSR '05.

[24]  Tapio Lokki,et al.  Creating auditory displays with multiple loudspeakers using VBAP: a case study with DIVA project , 1998 .

[25]  Maic Masuch,et al.  Waveguide-based Room Acoustics through Graphics Hardware , 2006, ICMC.

[26]  Mark R. Anderson,et al.  Direct comparison of the impact of head tracking, reverberation, and individualized head-related transfer functions on the spatial perception of a virtual speech source. , 2001, Journal of the Audio Engineering Society. Audio Engineering Society.

[27]  Naga K. Govindaraju,et al.  A Survey of General‐Purpose Computation on Graphics Hardware , 2007 .

[28]  Strömberg Valeo,et al.  REAL TIME WALKTHROUGH AURALIZATION - THE FIRST YEAR , 2006 .

[29]  Jean-Marc Jot,et al.  Study and Comparison of Efficient Methods for 3-D Audio Spatialization Based on Linear Decomposition of HRTF Data , 2000 .

[30]  Jim Nilsson,et al.  An in-depth look at computer performance growth , 2005, CARN.

[31]  Julie Dorsey,et al.  Audioptimization: goal-based acoustic design , 2000 .

[33]  Philip Rabinowitz,et al.  Methods of Numerical Integration , 1985 .

[34]  Heewon Lee,et al.  An efficient algorithm for the image model technique , 1988 .

[35]  Pierre Dumouchel,et al.  GPU accelerated acoustic likelihood computations , 2008, INTERSPEECH.

[36]  Tapio Lokki,et al.  Measurement and theoretical validation of diffraction from a single edge , 2004 .

[37]  R. Sekuler,et al.  Sound alters visual motion perception , 1997, Nature.

[38]  Pierre Poulin,et al.  A Light Hierarchy for Fast Rendering of Scenes with Many Lights , 1998, Comput. Graph. Forum.

[39]  Jens Herder,et al.  Optimization of Sound Spatialization Resource Management through Clustering , 1999 .

[40]  Ming C. Lin,et al.  Accelerated wave-based acoustics simulation , 2008, SPM '08.

[41]  Thomas A. Funkhouser,et al.  A beam tracing approach to acoustic modeling for interactive virtual environments , 1998, SIGGRAPH.

[42]  Durand R. Begault,et al.  EARLY REFLECTION THRESHOLDS FOR VIRTUAL SOUND SOURCES , 2001 .

[43]  F L Wightman,et al.  Localization using nonindividualized head-related transfer functions. , 1993, The Journal of the Acoustical Society of America.

[44]  Kenneth Moreland,et al.  The FFT on a GPU , 2003, HWWS '03.

[45]  S.H. Foster,et al.  Real Time Synthesis of Complex Acoustic Environments , 1991, Final Program and Paper Summaries 1991 IEEE ASSP Workshop on Applications of Signal Processing to Audio and Acoustics.

[46]  V. Mellert,et al.  Transformation characteristics of the external human ear. , 1977, The Journal of the Acoustical Society of America.

[47]  Matti Karjalainen,et al.  Virtual Instruments in Virtual ooms - A Real-Time Binaural Room Simulation Environment for Physical Models of Musical Instruments , 1994, ICMC.

[48]  Dinesh Manocha,et al.  Sounding liquids: Automatic sound synthesis from fluid simulation , 2010, TOGS.

[49]  Perry R. Cook,et al.  Real Sound Synthesis for Interactive Applications , 2002 .

[50]  Mendel Kleiner,et al.  Edge Diffraction and Surface Scattering in Concert Halls: Physical and Perceptual Aspects , 2004 .

[51]  Mendel Kleiner,et al.  Room acoustic prediction and auralization based on an extended image source model , 1992 .

[52]  Tapio Takala,et al.  An integrated approach to motion and sound , 1995, Comput. Animat. Virtual Worlds.

[53]  James A. Moorer,et al.  About This Reverberation Business , 1978 .

[54]  Jane W.-S. Liu,et al.  Scheduling Real-Time, Periodic Jobs Using Imprecise Results , 1987, RTSS.

[55]  Seth Teller,et al.  Visibility Computations in Densely Occluded Polyhedral Environments , 1992 .

[56]  Julius O. Smith,et al.  Physical Modeling Using Digital Waveguides , 1992 .

[57]  Christer Grewin,et al.  Methods for Quality Assessment of Low Bit-Rate Audio Codecs , 1993 .

[58]  Jean Vroomen,et al.  Perceptual effects of cross-modal stimulation : The cases of ventriloquism and the freezing phenomenon , 2004 .

[59]  B. V. Van Veen,et al.  A spatial feature extraction and regularization model for the head-related transfer function. , 1995, The Journal of the Acoustical Society of America.

[60]  Bill Kapralos,et al.  Real-time GPU-based convolution: a follow-up , 2009, Future Play.

[61]  David B. Shmoys,et al.  A Best Possible Heuristic for the k-Center Problem , 1985, Math. Oper. Res..

[62]  Warren F. Dale A Machine-Independent 3D Positional Sound Application Programmer Interface to Spatial Audio Engines , 1999 .

[63]  H. Sabine Room Acoustics , 1953, The SAGE Encyclopedia of Human Communication Sciences and Disorders.

[64]  Dinesh Manocha,et al.  Ray tracing dynamic scenes using selective restructuring , 2007, SIGGRAPH '07.

[65]  George Drettakis,et al.  Progressive perceptual audio rendering of complex scenes , 2007, SI3D.

[66]  George Drettakis,et al.  Fast modal sounds with scalable frequency-domain synthesis , 2008, ACM Trans. Graph..

[67]  Malcolm J. Crocker,et al.  Handbook of Acoustics , 1998 .

[68]  A. Berkhout,et al.  Acoustic control by wave field synthesis , 1993 .

[69]  Miguel Ángel García-Ruíz,et al.  An overview of auditory display to assist comprehension of molecular information , 2006, Interact. Comput..

[70]  Jean-Marc Jot,et al.  Real-time spatial processing of sounds for music, multimedia and interactive human-computer interfaces , 1999, Multimedia Systems.

[71]  T. Funkhouser,et al.  Modeling Sound Reflection and Diffraction in Architectural Environments with Beam Tracing , 2002 .

[72]  Jörn Loviscach GPU-based audio via the VGA port , 2008, SIGGRAPH '08.

[73]  Vesa Välimäki,et al.  Reduction of the dispersion error in the interpolated digital waveguide mesh using frequency warping , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

[74]  Gary S. Kendall,et al.  A 3-D Sound Primer: Directional Hearing and Stereo Reproduction , 1995 .

[75]  J. C. Middlebrooks,et al.  Psychophysical customization of directional transfer functions for virtual sound localization. , 2000, The Journal of the Acoustical Society of America.

[76]  Jacques Martin,et al.  The prediction of echograms and impulse responses within the Epidaure software , 1993 .

[77]  Nicolas Tsingos,et al.  Fast Rendering of Sound Occlusion and Diffraction Effects for Virtual Acoustic Environments , 1998 .

[78]  Hans Hagen,et al.  Visualizing the Phonon Map , 2006, EuroVis.

[79]  Elizabeth M. Wenzel,et al.  A software-based system for interactive spatial sound synthesis , 2000 .

[80]  Ronald W. Schafer,et al.  Subband-domain filtering of MPEG audio signals , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

[81]  Pat Hanrahan,et al.  Brook for GPUs: stream computing on graphics hardware , 2004, SIGGRAPH 2004.

[82]  Julius O. Smith,et al.  Physical Modeling with the 2-D Digital Waveguide Mesh , 1993, ICMC.

[83]  Jean-Marc Jot,et al.  Binaural Simulation of Complex Acoustic Scenes for Interactive Audio , 2006 .

[84]  John C. Hart,et al.  The CAVE: audio visual experience automatic virtual environment , 1992, CACM.

[85]  Tapio Lokki,et al.  A case study of auditory navigation in virtual acoustic environments , 2000 .

[86]  Thomas A. Funkhouser,et al.  Real-time acoustic modeling for distributed virtual environments , 1999, SIGGRAPH.

[87]  Jack J. Dongarra,et al.  Performance of various computers using standard linear equations software in a FORTRAN environment , 1988, CARN.

[88]  Jean-Marc Jot,et al.  Digital Signal Processing Issues in the Context of Binaural and Transaural Stereophony , 1995 .

[89]  Anthony M. J. Davis,et al.  The complete extension of the Biot–Tolstoy solution to the density contrast wedge with sample calculations , 1997 .

[90]  Roberto Scopigno,et al.  Reconstructing head models from photographs for individualized 3D‐audio processing , 2008, Comput. Graph. Forum.

[91]  John B. Schneider,et al.  A selective survey of the finite-difference time-domain literature , 1995 .

[92]  Kenneth Steiglitz,et al.  A digital signal processing primer - with applications to digital audio and computer music , 1996 .

[93]  Turner Whitted,et al.  An improved illumination model for shaded display , 1979, CACM.

[94]  H. Medwin,et al.  Impulse studies of double diffraction: A discrete Huygens interpretation , 1982 .

[95]  George Drettakis,et al.  Perceptual audio rendering of complex virtual environments , 2004, SIGGRAPH 2004.

[96]  Claude Cadoz,et al.  The physical model: modeling and simulating the instrumental universe , 1991 .

[97]  Dinesh K. Pai,et al.  Interactive Simulation of Complex Audiovisual Scenes , 2004, Presence: Teleoperators & Virtual Environments.

[98]  Sean Whalen Audio and the Graphics Processing Unit , 2005 .

[99]  H. Colburn,et al.  On the minimum-phase approximation of head-related transfer functions , 1995, Proceedings of 1995 Workshop on Applications of Signal Processing to Audio and Accoustics.

[100]  H. Lehnert Systematic errors of the ray-tracing algorithm , 1993 .

[101]  Durand R. Begault,et al.  3-D Sound for Virtual Reality and Multimedia Cambridge , 1994 .

[102]  Graham Naylor,et al.  ODEON—Another hybrid room acoustical model , 1993 .

[103]  A. Rajkumar,et al.  Predicting RF coverage in large environments using ray-beam tracing and partitioning tree represented geometry , 1996, Wirel. Networks.

[104]  Ronald W. Schafer,et al.  Psychoacoustically-based processing of MPEG-I layer 1-2 encoded signals , 1997, Proceedings of First Signal Processing Society Workshop on Multimedia Signal Processing.

[105]  Vesa Välimäki,et al.  Physical Modeling of Plucked String Instruments with Application to Real-Time Sound Synthesis , 1996 .

[106]  Ronald Fedkiw,et al.  Nonconvex rigid bodies with stacking , 2003, ACM Trans. Graph..

[107]  Unto K. Laine,et al.  Splitting the Unit Delay - Tools for fractional delay filter design , 1996 .

[108]  Hugo Fastl,et al.  Psychoacoustics: Facts and Models , 1990 .

[109]  Hanan Samet,et al.  The Design and Analysis of Spatial Data Structures , 1989 .

[110]  Henrik Møller Fundamentals of binaural technology , 1991 .

[111]  Rahul Narain,et al.  Efficient and accurate sound propagation using adaptive rectangular decomposition. , 2009, IEEE transactions on visualization and computer graphics.

[112]  J. Keller,et al.  Geometrical theory of diffraction. , 1962, Journal of the Optical Society of America.

[113]  U.P. Svensson,et al.  Edge subdivision for fast diffraction calculations , 2005, IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, 2005..

[114]  Hans Hagen,et al.  Comparative Visualization for Wave-based and Geometric Acoustics , 2006, IEEE Transactions on Visualization and Computer Graphics.

[115]  Elizabeth M. Wenzel,et al.  Effect of Increasing System Latency on Localization of Virtual Sounds , 1999 .

[116]  Michael J. Gerzon Periphony: With-Height Sound Reproduction , 1973 .

[117]  Tapio Lokki,et al.  An Efficient Auralization of Edge Diffraction , 2002 .

[118]  M. Schroeder Computer Models for Concert Hall Acoustics , 1973 .

[119]  Ingo Wald,et al.  Ray tracing deformable scenes using dynamic bounding volume hierarchies , 2007, TOGS.

[120]  S. Nishida,et al.  Recalibration of audiovisual simultaneity , 2004, Nature Neuroscience.

[121]  F. Wightman,et al.  A model of head-related transfer functions based on principal components analysis and minimum-phase reconstruction. , 1992, The Journal of the Acoustical Society of America.

[122]  Isabelle Viaud-Delmon,et al.  Ventriloquism aftereffects occur in the rear hemisphere , 2006, Neuroscience Letters.

[123]  Jos Stam,et al.  Diffraction shaders , 1999, SIGGRAPH.

[124]  Nicolas Tsingos,et al.  A VERSATILE SOFTWARE ARCHITECTURE FOR VIRTUAL AUDIO SIMULATIONS , 2001 .

[125]  Michael Friis Sørensen,et al.  Head-Related Transfer Functions of Human Subjects , 1995 .

[126]  Wolfgang Straßer,et al.  Multi-resolution sound rendering , 2004, SIGGRAPH '04.

[127]  S. Nepomnyaschikh,et al.  Domain Decomposition Methods , 2007 .

[128]  Dinesh K. Pai,et al.  The Sounds of Physical Shapes , 1998, Presence.

[129]  Greg Humphreys,et al.  How GPUs Work , 2007, Computer.

[130]  T. Kawai Sound diffraction by a many-sided barrier or pillar , 1981 .

[131]  Davide Rocchesso,et al.  Circulant and elliptic feedback delay networks for artificial reverberation , 1997, IEEE Trans. Speech Audio Process..

[132]  William L. Martens,et al.  Principal Components Analysis and Resynthesis of Spectral Cues to Perceived Direction , 1987, ICMC.

[133]  Bengt-Inge Dalenbäck Room acoustic prediction based on a unified treatment of diffuse and specular reflection , 1996 .

[134]  Ananda Sanagavarapu Mohan,et al.  Frustum ray tracing technique for high spatial resolution channel characteristic map , 1998, Proceedings RAWCON 98. 1998 IEEE Radio and Wireless Conference (Cat. No.98EX194).

[135]  D. Murphy,et al.  Acoustic Modeling Using the Digital Waveguide Mesh , 2007, IEEE Signal Processing Magazine.

[136]  T. Funkhouser,et al.  Integration of edge-diffraction calculations and geometrical-acoustics modeling , 2005 .

[137]  Albert S. Bregman,et al.  The Auditory Scene. (Book Reviews: Auditory Scene Analysis. The Perceptual Organization of Sound.) , 1990 .

[138]  Randima Fernando,et al.  GPU Gems: Programming Techniques, Tips and Tricks for Real-Time Graphics , 2004 .

[139]  Joseph O'Rourke,et al.  Handbook of Discrete and Computational Geometry, Second Edition , 1997 .

[140]  Mathieu Lagrange,et al.  Real-Time Additive Synthesis of Sound by Taking Advantage of Psychoacoustics , 2001 .

[141]  Michael T. Lippert,et al.  Mechanisms for Allocating Auditory Attention: An Auditory Saliency Map , 2005, Current Biology.

[142]  Jens Blauert,et al.  Principles of binaural room simulation , 1992 .

[143]  Derek A. McNamara,et al.  Introduction to the Uniform Geometrical Theory of Diffraction , 1990 .

[144]  Joseph S. B. Mitchell,et al.  Geometric Shortest Paths and Network Optimization , 2000, Handbook of Computational Geometry.

[145]  Reinaldo A. Valenzuela,et al.  Radio propagation measurements and prediction using three-dimensional ray tracing in urban environments at 908 MHz and 1.9 GHz , 1999 .

[146]  Jacques Martin,et al.  Binaural room acoustics simulation: Practical uses and applications , 1992 .

[147]  Jin-Yeu Tsou,et al.  Performance-based simulation for the planning and design of hyper-dense urban habitation , 2003 .

[148]  Edwin H. Blake,et al.  Hardware Accelerated Visibility Preprocessing using Adaptive Sampling , 2004, Rendering Techniques.

[149]  Tapio Lokki,et al.  Auralization applying the parametric room acoustic modeling technique - The DIVA auralization system , 2002 .

[150]  Richard S. Keiffer,et al.  Impulse response of a density contrast wedge: Practical implementation and some aspects of its diffracted component , 1999 .

[151]  Kellogg S. Booth,et al.  Report from the chair , 1986 .

[152]  John F. Canny,et al.  Impulse-based simulation of rigid bodies , 1995, I3D '95.

[153]  P. Paolucci,et al.  The “Cubed Sphere” , 1996 .

[154]  Matti Karjalainen,et al.  Direction-Dependent Physical Modeling of Musical Instruments , 1995 .

[155]  R. Luebbers,et al.  The Finite Difference Time Domain Method for Electromagnetics , 1993 .

[156]  Vesa Välimäki,et al.  Improved discrete-time modeling of multi-dimensional wave propagation using the interpolated digital waveguide mesh , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[157]  Abdellatif Benjelloun Touimi,et al.  Efficient method for multiple compressed audio streams spatialization , 2004, MUM '04.

[158]  Julius O. Smith,et al.  Extensions of the Karplus-Strong Plucked-String Algorithm , 1983 .

[159]  Jörn Loviscach,et al.  A malleable drum , 2008, SIGGRAPH '08.

[160]  Tapio Lokki,et al.  Implementation and Visualization of Edge Diffraction with Image-source Method , 2002 .

[161]  Shaun Nirenstein Fast and Accurate Visibility Preprocessing , 2003 .

[162]  Randima Fernando,et al.  The CG Tutorial: The Definitive Guide to Programmable Real-Time Graphics , 2003 .

[163]  Michael Barron,et al.  Auditorium Acoustics and Architectural Design , 1993 .

[164]  Lilian Aveneau,et al.  Rendering Polygonal Scenes with Di raction Account , 2009 .

[165]  Matti Karjalainen,et al.  HRTF FILTER DESIGN BASED ON AUDITORY CRITERIA , 1996 .

[166]  Tapio Lokki,et al.  A framework for evaluating virtual acoustics environments , 2001 .

[167]  Thomas Baer,et al.  A model for the prediction of thresholds, loudness, and partial loudness , 1997 .

[168]  Othmar Schimmel,et al.  Auditory displays , 2001 .

[169]  Yôiti Suzuki,et al.  Implicit estimation of sound-arrival time , 2003, Nature.

[170]  M. Vorländer Simulation of the transient and steady‐state sound propagation in rooms using a new combined ray‐tracing/image‐source algorithm , 1989 .

[171]  Lawrence E. Kinsler,et al.  Fundamentals of acoustics , 1950 .

[172]  E. Fiume,et al.  Structured sampling and reconstruction of illumination for image synthesis , 1994 .

[173]  D. V. Maercke,et al.  Binaural simulation of concert halls: A new approach for the binaural reverberation process , 1993 .

[174]  Yuvi Kahana,et al.  Numerical modelling of the spatial acoustic response of the human pinna , 2006 .

[175]  Matti Karjalainen,et al.  Objective and Subjective Evaluation of Head-Related Transfer Function Filter Design , 1999 .

[176]  Udo Zoelzer,et al.  DAFX: Digital Audio Effects , 2011 .

[177]  Xavier Décoret,et al.  Rendering geometry with relief textures , 2006, Graphics Interface.

[178]  Rendell Torres Studies of Edge Diffraction and Scattering: Applications to Room Acoustics and Auralization , 2000 .

[179]  Thomas A. Funkhouser,et al.  Modeling acoustics in virtual environments using the uniform theory of diffraction , 2001, SIGGRAPH.

[180]  M. Kleiner,et al.  Computation of edge diffraction for more accurate room acoustics auralization. , 2001, The Journal of the Acoustical Society of America.

[181]  Kurt Keutzer,et al.  Data-Parallel Large Vocabulary Continuous Speech Recognition on Graphics Processors , 2008 .

[182]  Dinesh K. Pai,et al.  MEASUREMENTS OF PERCEPTUAL QUALITY OF CONTACT SOUND MODELS , 2002 .

[183]  Edward A. Lee,et al.  DSP Processor Fundamentals , 1997 .

[184]  A. Kulowski Algorithmic representation of the ray tracing technique , 1985 .

[185]  Tapio Lokki,et al.  The room acoustic rendering equation. , 2007, The Journal of the Acoustical Society of America.

[186]  Thomas A. Funkhouser,et al.  Priority‐Driven Acoustic Modeling for Virtual Environments , 2000, Comput. Graph. Forum.

[187]  Daniel Cohen-Or,et al.  Ray space factorization for from-region visibility , 2003, ACM Trans. Graph..

[188]  Frédo Durand,et al.  A Survey of Visibility for Walkthrough Applications , 2003, IEEE Trans. Vis. Comput. Graph..

[189]  U. Peter Svensson,et al.  Frequency-Domain Edge Diffraction for Finite and Infinite Edges , 2009 .

[190]  Gerald A. Sandness,et al.  Scattering from a corrugated surface: Comparison between experiment, Helmholtz–Kirchhoff theory, and the facet‐ensemble method , 1983 .

[191]  Tokiichiro Takahashi,et al.  Principles and applications of pencil tracing , 1987, SIGGRAPH.

[192]  L. Hörmander The analysis of linear partial differential operators , 1990 .

[193]  P. Jean A VARIATIONAL APPROACH FOR THE STUDY OF OUTDOOR SOUND PROPAGATION AND APPLICATION TO RAILWAY NOISE , 1998 .

[194]  Ramani Duraiswami,et al.  Real Time Capture of Audio Images and their Use with Video , 2007, 2007 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics.

[195]  Yoshinori Dobashi,et al.  Real-time rendering of aerodynamic sound using sound textures based on computational fluid dynamics , 2003, ACM Trans. Graph..

[196]  J. Blauert Spatial Hearing: The Psychophysics of Human Sound Localization , 1983 .

[197]  Harry D. Castle,et al.  Real-Time Implementation of a General Model for Spatial Processing of Sounds , 1983, ICMC.

[198]  Tapio Takala,et al.  Sound rendering , 1992, SIGGRAPH.

[199]  F. Mechel IMPROVED MIRROR SOURCE METHOD IN ROOMACOUSTICS , 2002 .

[200]  Jeong Ho You,et al.  Experimental study of the diffracted sound field around jagged edge noise barriers , 2004 .

[201]  Chris Joslin,et al.  Significant facet retrieval for real-time 3D sound rendering in complex virtual environments , 2003, VRST '03.

[202]  Guillaume Lemaitre,et al.  PRIORITIZING SIGNALS FOR SELECTIVE REAL-TIME AUDIO PROCESSING , 2005 .

[203]  Sadaoki Furui,et al.  Harnessing graphics processors for the fast computation of acoustic likelihoods in speech recognition , 2009, Comput. Speech Lang..

[204]  Hans Hagen,et al.  Listener-based Analysis of Surface Importance for Acoustic Metrics , 2007, IEEE Transactions on Visualization and Computer Graphics.

[205]  Cliff B. Jones,et al.  A New Approach to the 'Hidden Line' Problem , 1971, Comput. J..

[206]  Steven R. Ryherd,et al.  Interactions of Model Detail Level and Scattering Coefficients in Room Acoustic Computer Simulation , 2004 .

[207]  F L Wightman,et al.  Headphone simulation of free-field listening. I: Stimulus synthesis. , 1989, The Journal of the Acoustical Society of America.

[208]  I. Bork Report on the 3rd round robin on room acoustical computer simulation - : Part II: Calculations , 2005 .

[209]  Matti Karjalainen,et al.  DSP Formulation of a Finite Difference Method for Room Acoustics Simulation , 1996 .

[210]  B. Moore An Introduction to the Psychology of Hearing , 1977 .

[211]  Dinesh Manocha,et al.  FastV : From-point Visibility Culling on Complex Models , 2009 .

[212]  Bill Kapralos,et al.  Spatial sound for video games and virtual environments utilizing real-time GPU-based convolution , 2008, Future Play.

[213]  Alexander Reshetov,et al.  Multi-level ray tracing algorithm , 2005, ACM Trans. Graph..

[214]  Tom Davis,et al.  Opengl programming guide: the official guide to learning opengl , 1993 .

[215]  W. G. Gardner,et al.  3-D Audio Using Loudspeakers , 1998 .

[216]  Dinesh Manocha,et al.  Accelerated occlusion culling using shadow frusta , 1997, SCG '97.

[217]  Davide Rocchesso,et al.  Physical modeling of membranes for percussion instruments , 1998 .

[218]  A. Kulowski Error investigation for the ray tracing technique , 1982 .

[219]  D. Botteldooren Finite‐difference time‐domain simulation of low‐frequency room acoustic problems , 1995 .

[220]  U. Svensson,et al.  An analytic secondary source model of edge diffraction impulse responses , 1999 .

[221]  Krzysztof Marasek,et al.  Computation of Room Acoustics using Programmable Video Hardware , 2004, ICCVG.

[222]  Robert L. Cook,et al.  The Reyes image rendering architecture , 1987, SIGGRAPH.

[223]  Carlos A. de Moura Parallel Numerical Methods for Differential Equations , 2002 .

[224]  Ming Tang,et al.  ReduceM: Interactive and Memory Efficient Ray Tracing of Large Models , 2008, Comput. Graph. Forum.

[225]  Durand R. Begault,et al.  Auditory and Non-Auditory Factors that Potentially Influence Virtual Acoustic Imagery , 1999 .

[226]  Tapio Lokki,et al.  Measurement and modeling of diffraction from an edge of a thin panel , 2008 .

[227]  William G. Gardner,et al.  Efficient Convolution without Input/Output Delay , 1995 .

[228]  Augusto Sarti,et al.  REAL TIME MODELING OF ACOUSTIC PROPAGATION IN COMPLEX ENVIRONMENTS , 2004 .

[229]  Anthony I. Tew,et al.  The Continuity Illusion in Virtual Auditory Space , 2002 .

[230]  Daniel Cohen-Or,et al.  Virtual Occluders: An Efficient Intermediate PVS Representation , 2000, Rendering Techniques.

[231]  Ravi Ramamoorthi,et al.  A Real-time Beam Tracer with Application to Exact Soft Shadows , 2007, Rendering Techniques.

[232]  Daniel Västfjäll,et al.  Better Presence and Performance in Virtual Environments by Improved Binaural Sound Rendering , 2002 .

[233]  Dinesh K. Pai,et al.  Synthesis of shape dependent sounds with physical modeling , 1996 .

[234]  Matti Karjalainen,et al.  Efficient and Parametric Reverberator for Room Acoustics Modeling , 1997, ICMC.

[235]  Loren C. Carpenter,et al.  The A -buffer, an antialiased hidden surface method , 1984, SIGGRAPH.

[236]  Dinesh Manocha,et al.  DEEP: dual-space expansion for estimating penetration depth between convex polytopes , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[237]  Frédo Durand,et al.  Implicit visibility and antiradiance for interactive global illumination , 2007, SIGGRAPH 2007.

[238]  Avi Bleiweiss,et al.  GPU accelerated pathfinding , 2008, GH '08.

[239]  S. Chandler-Wilde,et al.  EFFICIENCY OF SINGLE NOISE BARRIERS , 1991 .

[240]  Ming C. Lin,et al.  Interactive sound synthesis for large scale environments , 2006, I3D '06.

[241]  E. Milios,et al.  Sonel mapping: acoustic modeling utilizing an acoustic version of photon mapping , 2004, Proceedings. Second International Conference on Creating, Connecting and Collaborating through Computing.

[242]  Duane H. Cooper,et al.  Calculator Program for Head-Related Transfer Function , 1982 .

[243]  James K. Hahn,et al.  Perceptuallly based scheduling algorithms for real-time synthesis of complex sonic environments , 1997 .

[244]  A. Krokstad,et al.  Calculating the acoustical room response by the use of a ray tracing technique , 1968 .

[245]  Shao-Po Wu,et al.  Minimum perceptual spectral distance FIR filter design , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[246]  Randi J. Rost OpenGL(R) Shading Language (2nd Edition) , 2005 .

[247]  D. C. Howell Statistical Methods for Psychology , 1987 .

[248]  David P. Luebke,et al.  Portals and mirrors: simple, fast evaluation of potentially visible sets , 1995, I3D '95.

[249]  K. Heinrich Kuttruff,et al.  Auralization of Impulse Responses Modeled on the Basis of Ray-Tracing Results , 1993 .

[250]  Julius O. Smith,et al.  Principles of Digital Waveguide Models of Musical Instruments , 2002 .

[251]  Roni Yagel,et al.  Priority‐driven Ray Tracing , 1997 .

[252]  Nikos A. Vlassis,et al.  The global k-means clustering algorithm , 2003, Pattern Recognit..

[253]  Jont B. Allen,et al.  Image method for efficiently simulating small‐room acoustics , 1976 .

[254]  David Geer Taking the graphics processor beyond graphics , 2005, Computer.

[255]  J. Borish Extension of the image model to arbitrary polyhedra , 1984 .

[256]  Shinichi Sakamoto,et al.  Numerical analysis of sound propagation in rooms using the finite difference time domain method , 2006 .

[257]  G. Haar The Acoustic Bubble , 1996 .

[258]  Julius O. Smith,et al.  Spectral and Time-Domain Preprocessing and the Choice of Modeling Error Criteria for Binaural Digital Filters , 1999 .

[259]  Frederick P. Brooks,et al.  Towards image realism with interactive update rates in complex virtual building environments , 1990, I3D '90.

[260]  Emmanuel Gallo,et al.  Efficient 3D Audio Processing with the GPU , 2004 .

[261]  William R. Mark,et al.  Cg: a system for programming graphics hardware in a C-like language , 2003, ACM Trans. Graph..

[262]  Michael Wimmer,et al.  CHC++: Coherent Hierarchical Culling Revisited , 2008, Comput. Graph. Forum.

[263]  Augusto Sarti,et al.  Fast modeling of acoustic reflections and diffraction in complex environments using visibility diagrams , 2004, 2004 12th European Signal Processing Conference.

[264]  R. Kouyoumjian,et al.  A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface , 1974 .

[265]  P. Depalle,et al.  Spectral Envelopes and Inverse FFT Synthesis , 1992 .

[266]  Andrzej Pietrzyk Computer Modeling of the Sound Field in Small Rooms , 1998 .

[267]  Miller S. Puckette,et al.  Designing Multi-Channel Reverberators , 1982 .

[268]  H. Bass,et al.  Atmospheric Absorption of Sound: Analytical Expressions , 1972 .

[269]  Duane H. Cooper,et al.  Prospects for Transaural Recording , 1989 .

[270]  N. Tsingos USING PROGRAMMABLE GRAPHICS HARDWARE FOR AURALIZATION , 2009 .

[271]  Dinesh Manocha,et al.  Appearance-preserving simplification , 1998, SIGGRAPH.

[272]  H. Medwin,et al.  On the failure of the Kirchhoff assumption in backscatter , 1982 .

[273]  Klaus Genuit,et al.  A Virtual Car: Prediction of Sound and Vibration in an Interactive Simulation Environment , 2001 .

[274]  Renate Heinz,et al.  Binaural room simulation based on an image source model with addition of statistical methods to include the diffuse sound scattering of walls and to predict the reverberant tail , 1993 .

[275]  David G. Malham,et al.  3-D Sound Spatialization using Ambisonic Techniques , 1995 .

[276]  S. Van Duyne,et al.  The 2-D digital waveguide mesh , 1993, Proceedings of IEEE Workshop on Applications of Signal Processing to Audio and Acoustics.

[277]  K. Yee Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[278]  Wei-Ping Huang,et al.  Application and optimization of PML ABC for the 3-D wave equation in the time domain , 2003 .

[279]  George Drettakis,et al.  Robust epsilon visibility , 2002, ACM Trans. Graph..

[280]  Thomas Funkhouser,et al.  A beam tracing method for interactive architectural acoustics. , 2004, The Journal of the Acoustical Society of America.

[281]  U. Peter Svensson,et al.  Diffracted sound field from an orchestra pit , 2005 .

[282]  Dinesh K. Pai,et al.  FoleyAutomatic: physically-based sound effects for interactive simulation and animation , 2001, SIGGRAPH.

[283]  U. Peter Svensson,et al.  Edge diffraction in computer modeling of room acoustics , 2006 .

[284]  I. Kale,et al.  Low-order modeling of head-related transfer functions using balanced model truncation , 1997, IEEE Signal Processing Letters.

[285]  Dinesh Manocha,et al.  Interactive sound rendering in complex and dynamic scenes using frustum tracing , 2007, IEEE Transactions on Visualization and Computer Graphics.

[286]  Matti Karjalainen,et al.  Modeling of reflections and air absorption in acoustical spaces a digital filter design approach , 1997, Proceedings of 1997 Workshop on Applications of Signal Processing to Audio and Acoustics.

[287]  T. Lokki,et al.  Geometry reduction in room acoustics modeling , 2008 .

[288]  B. Moore,et al.  Suggested formulae for calculating auditory-filter bandwidths and excitation patterns. , 1983, The Journal of the Acoustical Society of America.

[289]  Timo Aila,et al.  Conservative and Tiled Rasterization Using a Modified Triangle Set-Up , 2005, J. Graph. Tools.

[290]  Jarek Rossignac,et al.  ShieldTester: Cell‐to‐Cell Visibility Test for Surface Occluders , 2003, Comput. Graph. Forum.

[291]  D. Burr,et al.  The Ventriloquist Effect Results from Near-Optimal Bimodal Integration , 2004, Current Biology.

[292]  Vesa Välimäki,et al.  Virtual musical instruments — natural sound using physical models , 1996, Organised Sound.

[293]  Tapio Lokki,et al.  Realtime audiovisual rendering and contemporary audiovisual art , 1998, Organised Sound.

[294]  A. Chaigne,et al.  Numerical simulations of xylophones. I. Time-domain modeling of the vibrating bars , 1997 .

[295]  Abhijit Kulkarni,et al.  Infinite-impulse-response models of the head-related transfer function. , 1995, The Journal of the Acoustical Society of America.

[296]  Ingo Wald,et al.  State of the Art in Ray Tracing Animated Scenes , 2009, Comput. Graph. Forum.

[297]  Derek Brock,et al.  An extensible toolkit for creating virtual sonic environments , 2000 .

[298]  Tzi-cker Chiueh,et al.  An Implementation of a FIR Filter on a GPU , 2005 .

[299]  J. Flanagan Analog Measurements of Sound Radiation from the Mouth , 1960 .

[300]  R. Vermeulen Stereo reverberation , 1956 .

[301]  Mark Sandler,et al.  DIGITAL AUDIO EFFECTS IN THE WAVELET DOMAIN , 2002 .

[302]  A. Schmitz,et al.  SIMPLIFYING CANCELLATION OF CROSS-TALK FOR PLAYBACK OF HEAD-RELATED RECORDINGS IN A TWO-SPEAKER SYSTEM , 1993 .

[303]  Dick Botteldooren,et al.  ACOUSTICAL FINITE-DIFFERENCE TIME-DOMAIN SIMULATION IN A QUASI-CARTESIAN GRID , 1994 .

[304]  Steven Fortune Topological beam tracing , 1999, SCG '99.

[305]  M. Wallace,et al.  Visual Localization Ability Influences Cross-Modal Bias , 2003, Journal of Cognitive Neuroscience.

[306]  W. G. Gardner,et al.  HRTF measurements of a KEMAR , 1995 .

[307]  G. Williams,et al.  Adaptive Supersampling in Object Space Using Pyramidal Rays , 1998, Comput. Graph. Forum.

[308]  Keith Nesbitt,et al.  Modelling human perception to leverage the reuse of concepts across the multi-sensory design space , 2006, APCCM.

[309]  J. Eyre,et al.  The evolution of DSP processors , 2000, IEEE Signal Process. Mag..

[310]  Hideki Tachibana,et al.  Visualization of sound reflection and diffraction using finite difference time domain method , 2002 .

[311]  R. Rabenstein,et al.  Simulation of room acoustics via block-based physical modeling with the functional transformation method , 2005, IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, 2005..

[312]  Naga K. Govindaraju,et al.  High performance discrete Fourier transforms on graphics processors , 2008, HiPC 2008.

[313]  Gregory H. Wakefield,et al.  On the design of pole-zero approximations using a logarithmic error measure , 1994, IEEE Trans. Signal Process..

[314]  M. R. Schroeder,et al.  Digital simulation of sound transmission in reverberant spaces (part 1) , 1969 .

[315]  Dinesh Manocha,et al.  Cache-efficient numerical algorithms using graphics hardware , 2007, Parallel Comput..

[316]  M. Biot,et al.  Formulation of Wave Propagation in Infinite Media by Normal Coordinates with an Application to Diffraction , 1957 .

[317]  Carlo H. Séquin,et al.  Adaptive display algorithm for interactive frame rates during visualization of complex virtual environments , 1993, SIGGRAPH.

[318]  Marina Bosi,et al.  Overview of MPEG audio : Current and future standards for low-bit-rate audio coding , 1997 .

[319]  Reijo Sulonen,et al.  The EXCELL Method for Efficient Geometric Access to Data , 1982, DAC 1982.

[320]  Qing‐Huo Liu The PSTD algorithm: A time-domain method combining the pseudospectral technique and perfectly matched layers , 1997 .

[321]  Djamel Ouis Scattering by a barrier in a room , 1999 .

[322]  William L. Martens,et al.  Simulating the Cues of Spatial Hearing in Natural Environments , 1984, ICMC.

[323]  N. Troje,et al.  Audiovisual phenomenal causality , 2003, Perception & psychophysics.

[324]  Carsten Dachsbacher,et al.  Reflective shadow maps , 2005, I3D '05.

[325]  Simon Carlile,et al.  Synchronizing to real events: subjective audiovisual alignment scales with perceived auditory depth and speed of sound. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[326]  Murray Hodgson,et al.  Experimental evaluation of radiosity for room sound-field prediction. , 2006, The Journal of the Acoustical Society of America.

[327]  Augusto Sarti,et al.  Accurate and fast audio-realistic rendering of sounds in virtual environments , 2004, IEEE 6th Workshop on Multimedia Signal Processing, 2004..

[328]  B F Katz,et al.  Boundary element method calculation of individual head-related transfer function. I. Rigid model calculation. , 2001, The Journal of the Acoustical Society of America.

[329]  T. Senior,et al.  Electromagnetic and Acoustic Scattering by Simple Shapes , 1969 .

[330]  Dinesh Manocha,et al.  AD-Frustum: Adaptive Frustum Tracing for Interactive Sound Propagation , 2008, IEEE Transactions on Visualization and Computer Graphics.

[331]  Eric Andres,et al.  The Discrete Tube: A Spatial Acceleration Technique for Efficient Diffraction Computation , 1999, DGCI.

[332]  S.A. Van Duyne,et al.  The tetrahedral digital waveguide mesh , 1995, Proceedings of 1995 Workshop on Applications of Signal Processing to Audio and Accoustics.

[333]  Qiong Zhang,et al.  Physically-Based Sound Synthesis on GPUs , 2005, ICEC.

[334]  L. Aveneau DEVELOPMENT AND EVALUATIONS OF PHYSICAL AND COMPUTER OPTIMIZATIONS FOR THE 3D UTD MODEL , 1999 .

[335]  Tapio Takala,et al.  Waveguide Mesh Method for Low-Frequency Simulation of Room Acoustics , 1995 .

[336]  Vesa Välimäki,et al.  Reduction of the dispersion error in the triangular digital waveguide mesh using frequency warping , 1999, IEEE Signal Processing Letters.

[337]  Sophia Antipolis,et al.  SCALABLE PERCEPTUAL MIXING AND FILTERING OF AUDIO SIGNALS USING AN AUGMENTED SPECTRAL REPRESENTATION , 2005 .

[338]  Rüdiger Westermann,et al.  Linear algebra operators for GPU implementation of numerical algorithms , 2003, SIGGRAPH Courses.

[339]  Seth J. Teller,et al.  Real-time occlusion culling for models with large occluders , 1997, SI3D.

[340]  G. Norton,et al.  An evaluation of the Kirchhoff approximation in predicting the axial impulse response of hard and soft disks , 1993 .

[341]  Samuli Laine,et al.  Accelerated beam tracing algorithm , 2009 .

[342]  Chen Shen,et al.  Synthesizing sounds from rigid-body simulations , 2002, SCA '02.

[343]  Stefan Guthe,et al.  Hardware Accelerated Per-Pixel Displacement Mapping , 2004, Graphics Interface.

[344]  Jyri Huopaniemi,et al.  VIRTUAL ACOUSTICS AND 3-D SOUND IN MULTIMEDIA SIGNAL PROCESSING , 2000 .

[345]  Gregory B. Newby,et al.  Virtual reality: Scientific and technological challenges , 1996 .

[346]  Henrik Møller,et al.  Acoustical design of the Marienkirche concert hall, Neubrandenburg , 1999 .

[347]  John C. Hart,et al.  GPU algorithms for radiosity and subsurface scattering , 2003, HWWS '03.

[348]  Carlos A. Brebbia Computational Acoustics and Its Environmental Applications , 1995 .

[349]  Chiew Tong Lau,et al.  The Significance of Tonality Index and Non-linear Psychoacoustics Models for Masking Threshold Estimation , 2002 .

[350]  N.K. Govindaraju,et al.  A Memory Model for Scientific Algorithms on Graphics Processors , 2006, ACM/IEEE SC 2006 Conference (SC'06).

[351]  J. H. Rindel,et al.  The Use of Computer Modeling in Room Acoustics , 2000 .

[352]  Mendel Kleiner,et al.  Auralization-An Overview , 1993 .

[353]  Pat Hanrahan,et al.  Ray tracing on programmable graphics hardware , 2002, SIGGRAPH Courses.

[354]  Steven G. Johnson,et al.  The Design and Implementation of FFTW3 , 2005, Proceedings of the IEEE.

[355]  John R. Berryhill,et al.  DIFFRACTION RESPONSE FOR NONZERO SEPARATION OF SOURCE AND RECEIVER , 1977 .

[356]  U. Peter Svensson,et al.  Edge-diffraction impulse responses near specular-zone and shadow-zone boundaries , 2006 .

[357]  T. Cox,et al.  Evaluation of methods for predicting the scattering from simple rigid panels , 1993 .

[358]  U. Peter Svensson,et al.  Diffraction Culling for Virtual-Acoustic Simulations , 2008 .

[359]  Jyri Huopaniemi,et al.  Measurement and modeling techniques for directional sound radiation from the mouth , 1999, Proceedings of the 1999 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics. WASPAA'99 (Cat. No.99TH8452).

[360]  H. Colburn,et al.  Efficient finite-impulse-response filter models of the head-related transfer function , 1995 .

[361]  Matt Pharr,et al.  Programmable graphics: the future of interactive rendering , 2008, SIGGRAPH '08.

[362]  A. Spanias,et al.  Perceptual coding of digital audio , 2000, Proceedings of the IEEE.

[363]  Hans Hagen,et al.  Phonon tracing for auralization and visualization of sound , 2005, VIS 05. IEEE Visualization, 2005..

[364]  C. Avendano,et al.  The CIPIC HRTF database , 2001, Proceedings of the 2001 IEEE Workshop on the Applications of Signal Processing to Audio and Acoustics (Cat. No.01TH8575).

[365]  Tapio Lokki,et al.  Creating Interactive Virtual Auditory Environments , 2002, IEEE Computer Graphics and Applications.

[366]  Yves H. Berthelot,et al.  Time‐domain experiments on the diffraction of sound by a step discontinuity , 1994 .

[367]  Markus H. Gross,et al.  Spatialized audio rendering for immersive virtual environments , 2002, VRST '02.

[368]  Maic Masuch,et al.  RAY ACOUSTICS USING COMPUTER GRAPHICS TECHNOLOGY , 2007 .

[369]  A. W. Trorey Diffractions for arbitrary source-receiver locations , 1977 .

[370]  M. Hodgson Evidence of diffuse surface reflections in rooms , 1990 .

[371]  B. Moore,et al.  Frequency discrimination as a function of frequency, measured in several ways. , 1995, The Journal of the Acoustical Society of America.

[372]  Dinesh K. Pai,et al.  Precomputed acoustic transfer: output-sensitive, accurate sound generation for geometrically complex vibration sources , 2006, SIGGRAPH 2006.

[373]  Andreas Spanias,et al.  A review of algorithms for perceptual coding of digital audio signals , 1997, Proceedings of 13th International Conference on Digital Signal Processing.

[374]  Tapio Takala Virtual orchestra performance , 1997, SIGGRAPH '97.

[375]  Sylvain Lefebvre,et al.  Instant Sound Scattering , 2007, Rendering Techniques.

[376]  Melinda Piket-May,et al.  9 – Computational Electromagnetics: The Finite-Difference Time-Domain Method , 2005 .

[377]  Nicolas Tsingos,et al.  Soundtracks for Computer Animation: Sound Rendering in Dynamic Environment with Occlusions , 1997, Graphics Interface.

[378]  Ville Pulkki,et al.  Virtual Sound Source Positioning Using Vector Base Amplitude Panning , 1997 .

[379]  John Vanderkooy A Simple Theory of Cabinet Edge Diffraction , 1990 .

[380]  Cláudio T. Silva,et al.  The Prioritized-Layered Projection Algorithm for Visible Set Estimation , 2000, IEEE Trans. Vis. Comput. Graph..

[381]  Guy V. Norton,et al.  The impulse response of an aperture: Numerical calculations within the framework of the wedge assemblage method , 1994 .

[382]  Seth J. Teller,et al.  Computing the antipenumbra of an area light source , 1992, SIGGRAPH.

[383]  Michael Peter Hollier,et al.  An Experimental Investigation into Multi-Modal Synchronization Sensitivity for Perceptual Model Development , 1998 .

[384]  Manfred R. Schroeder,et al.  Computer simulation of sound transmission in rooms , 1963 .

[385]  James F. O'Brien,et al.  Synthesizing sounds from physically based motion , 2001, SIGGRAPH.

[386]  Julius O. Smith,et al.  Physical Modeling Synthesis Update , 1996 .

[387]  Russell L. Storms Auditory-visual cross-modal perception phenomena , 1998 .

[388]  Manfred R. Schroeder,et al.  An Artificial Stereophonic Effect Obtained from a Single Audio Signal , 1958 .

[389]  Y. Shao,et al.  Sound Localization Cues for a Magnified Head: Implications from Sound Diffraction about a Rigid Sphere , 1993, Presence: Teleoperators & Virtual Environments.

[390]  Lauri Savioja,et al.  Modeling Techniques for Virtual Acoustics , 1999 .

[391]  Dinesh Manocha,et al.  RESound: interactive sound rendering for dynamic virtual environments , 2009, ACM Multimedia.

[392]  Wayne A. Kinney,et al.  Numerical computations of time‐domain diffractions from wedges and reflections from facets , 1988 .

[393]  Drumm,et al.  The adaptive beam-tracing algorithm , 2000, The Journal of the Acoustical Society of America.

[394]  Unto K. Laine,et al.  A real-time DSP implementation of a flute model , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[395]  D. Manocha,et al.  RT-DEFORM: Interactive Ray Tracing of Dynamic Scenes using BVHs , 2006, 2006 IEEE Symposium on Interactive Ray Tracing.

[396]  R. Bowen Loftin,et al.  Multisensory perception: beyond the visual in visualization , 2003, Comput. Sci. Eng..

[397]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[398]  Tapio Lokki,et al.  Frequency domain acoustic radiance transfer for real-time auralization , 2009 .

[399]  Barry Smith,et al.  Domain Decomposition Methods for Partial Differential Equations , 1997 .

[400]  U. Peter Svensson,et al.  Fast Time-Domain Edge-Diffraction Calculations for Interactive Acoustic Simulations , 2007, EURASIP J. Adv. Signal Process..