Model Simplification

The fundamental concept of using hierarchical model representations to trade visual fidelity for interactivity was first proposed by Clark. A variety of specific model representations and algorithms have been proposed for this purpose. The process of building these hierarchies automatically is known as model simplification, which builds a multiresolution hierarchy from a complex model and manages the new hierarchical representation during the interactive rendering process to enable this tradeoff. Using the model simplification approach, the user or the application can dynamically balance the need for interactivity against the need for high image quality during the image-generation process to manage both the computational and the bandwidth resources required at any given moment. This chapter provides an overview of the concepts related to model simplification, a high-level look at the range of algorithms employed today, some applications, and open issues that still exist in this area.

[1]  Michael W. McGreevy,et al.  Methods for user-based reduction of model complexity for virtual planetary exploration , 1993, Electronic Imaging.

[2]  Hugues Hoppe,et al.  New quadric metric for simplifying meshes with appearance attributes , 1999, Proceedings Visualization '99 (Cat. No.99CB37067).

[3]  Marc Levoy,et al.  QSplat: a multiresolution point rendering system for large meshes , 2000, SIGGRAPH.

[4]  Michael Garland,et al.  Surface simplification using quadric error metrics , 1997, SIGGRAPH.

[5]  Roni Yagel,et al.  Octree-based decimation of marching cubes surfaces , 1996, Proceedings of Seventh Annual IEEE Visualization '96.

[6]  Jonathan D. Cohen,et al.  Perceptually guided simplification of lit, textured meshes , 2003, I3D '03.

[7]  Wolfgang Straßer,et al.  Real-time decompression and visualization of animated volume data , 2001, Proceedings Visualization, 2001. VIS '01..

[8]  William V. Baxter,et al.  HLODs for faster display of large static and dynamic environments , 2001, I3D '01.

[9]  Pedro V. Sander,et al.  Texture mapping progressive meshes , 2001, SIGGRAPH.

[10]  Hideyuki Tamura,et al.  Gaze-directed adaptive rendering for interacting with virtual space , 1996, Proceedings of the IEEE 1996 Virtual Reality Annual International Symposium.

[11]  Valerio Pascucci,et al.  Multi-resolution dynamic meshes with arbitrary deformations , 2000 .

[12]  James H. Clark,et al.  Hierarchical geometric models for visible surface algorithms , 1976, CACM.

[13]  Arie E. Kaufman,et al.  Multiresolution tetrahedral framework for visualizing regular volume data , 1997 .

[14]  Peter Shirley,et al.  Visual navigation of large environments using textured clusters , 1995, I3D '95.

[15]  Renato Pajarola.  Large scale terrain visualization using the restricted quadtree triangulation , 1998 .

[16]  Dinesh Manocha,et al.  GAPS: general and automatic polygonal simplification , 1999, SI3D.

[17]  Bernd Hamann,et al.  Multiresolution techniques for interactive texture-based volume visualization , 1999, Proceedings Visualization '99 (Cat. No.99CB37067).

[18]  Kenneth I. Joy,et al.  Simplification of Tetrahedral Meshes with Error Bounds , 1999, IEEE Trans. Vis. Comput. Graph..

[19]  Daniel G. Aliaga,et al.  Hybrid simplification: combining multi-resolution polygon and point rendering , 2001, Proceedings Visualization, 2001. VIS '01..

[20]  Tony DeRose,et al.  Multiresolution analysis of arbitrary meshes , 1995, SIGGRAPH.

[21]  Dinesh Manocha,et al.  Spatially-encoded far-field representations for interactive walkthroughs , 2001, MULTIMEDIA '01.

[22]  Michael Garland,et al.  A multiphase approach to efficient surface simplification , 2002, IEEE Visualization, 2002. VIS 2002..

[23]  Dinesh Manocha,et al.  Out-of-core rendering of massive geometric environments , 2002, IEEE Visualization, 2002. VIS 2002..

[24]  François X. Sillion,et al.  Multi‐layered impostors for accelerated rendering , 1999, Comput. Graph. Forum.

[25]  David P. Luebke,et al.  View-dependent simplification of arbitrary polygonal environments , 1997, SIGGRAPH.

[26]  Hans-Peter Seidel,et al.  Real-time generation of continuous levels of detail for height fields , 1998 .

[27]  Paolo Cignoni,et al.  Preserving attribute values on simplified meshes by resampling detail textures , 1998, The Visual Computer.

[28]  Valerio Pascucci,et al.  Visualization of large terrains made easy , 2001, Proceedings Visualization, 2001. VIS '01..

[29]  Greg Turk,et al.  Image-driven simplification , 2000, TOGS.

[30]  Jarek Rossignac,et al.  Multi-resolution 3D approximations for rendering complex scenes , 1993, Modeling in Computer Graphics.

[31]  Jonathan D. Cohen,et al.  Interactive visualization of unstructured grids using hierarchical 3D textures , 2002, Symposium on Volume Visualization and Graphics, 2002. Proceedings. IEEE / ACM SIGGRAPH.

[32]  Roberto Scopigno,et al.  Multiresolution volume visualization with a texture-based octree , 2001, The Visual Computer.

[33]  Thomas Ertl,et al.  Level-of-Detail Volume Rendering via 3D Textures , 2000, 2000 IEEE Symposium on Volume Visualization (VV 2000).

[34]  Yizhou Yu,et al.  Efficient View-Dependent Image-Based Rendering with Projective Texture-Mapping , 1998, Rendering Techniques.

[35]  Hugues Hoppe,et al.  Displaced subdivision surfaces , 2000, SIGGRAPH.

[36]  Matthias Zwicker,et al.  Surfels: surface elements as rendering primitives , 2000, SIGGRAPH.

[37]  Jihad El-Sana,et al.  Skip Strips: maintaining triangle strips for view-dependent rendering , 1999, Proceedings Visualization '99 (Cat. No.99CB37067).

[38]  Markus H. Gross,et al.  Progressive tetrahedralizations , 1998, Proceedings Visualization '98 (Cat. No.98CB36276).

[39]  Christopher J. Migdal,et al.  The clipmap: a virtual mipmap , 1998, SIGGRAPH.

[40]  Jihad El-Sana,et al.  Topology Simplification for Polygonal Virtual Environments , 1998, IEEE Trans. Vis. Comput. Graph..

[41]  Daniel G. Aliaga,et al.  MMR: an interactive massive model rendering system using geometric and image-based acceleration , 1999, SI3D.

[42]  Jihad El-Sana,et al.  External Memory View‐Dependent Simplification , 2000, Comput. Graph. Forum.

[43]  Enrico Puppo,et al.  Building and traversing a surface at variable resolution , 1997 .

[44]  Jihad El-Sana,et al.  Adaptive Real-Time Level-of-Detail-Based Rendering for Polygonal Models , 1997, IEEE Trans. Vis. Comput. Graph..

[45]  Daniel G. Aliaga.  Visualization of complex models using dynamic texture-based simplification , 1996, Proceedings of Seventh Annual IEEE Visualization '96.

[46]  Adam Hunter,et al.  Uniform frequency images: adding geometry to images to produce space-efficient textures , 2000 .

[47]  Dinesh Manocha,et al.  Simplifying polygonal models using successive mappings , 1997 .

[48]  William E. Lorensen,et al.  Decimation of triangle meshes , 1992, SIGGRAPH.

[49]  Amitabh Varshney,et al.  Walkthroughs of complex environments using image-based simplification , 1998 .

[50]  Hugues Hoppe.  Smooth view-dependent level-of-detail control and its application to terrain rendering , 1998 .

[51]  Reinhard Klein,et al.  Mesh reduction with error control , 1996, Proceedings of Seventh Annual IEEE Visualization '96.

[52]  Amitabh Varshney,et al.  Controlled Topology Simplification , 1996, IEEE Trans. Vis. Comput. Graph..

[53]  Thomas Gerstner.  Multiresolution Visualization and Compression of Global Topographic Data , 2001 .

[54]  Greg Turk,et al.  Re-tiling polygonal surfaces , 1992, SIGGRAPH.

[55]  Cláudio T. Silva,et al.  A memory insensitive technique for large model simplification , 2001, Proceedings Visualization, 2001. VIS '01..

[56]  Martin Reddy,et al.  TerraVision II: Visualizing Massive Terrain Databases in VRML , 1999, IEEE Computer Graphics and Applications.

[57]  Benjamin Watson,et al.  Model Simplification Through Refinement , 2000, Graphics Interface.

[58]  Michael Zyda,et al.  NPSNET: Hierarchical data structures for real-time three-dimensional visual simulation , 1993, Comput. Graph..

[59]  Hugues Hoppe,et al.  Optimization of mesh locality for transparent vertex caching , 1999, SIGGRAPH.

[60]  Steven J. Gortler,et al.  Geometry images , 2002, SIGGRAPH.

[61]  Michael Garland,et al.  Simplifying surfaces with color and texture using quadric error metrics , 1998, Proceedings Visualization '98 (Cat. No.98CB36276).

[62]  Lance Williams,et al.  Pyramidal parametrics , 1983, SIGGRAPH.

[63]  David Salesin,et al.  Hierarchical image caching for accelerated walkthroughs of complex environments , 1996, SIGGRAPH.

[64]  Hugues Hoppe,et al.  View-dependent refinement of progressive meshes , 1997, SIGGRAPH.

[65]  Amitabh Varshney,et al.  Dynamic view-dependent simplification for polygonal models , 1996, Proceedings of Seventh Annual IEEE Visualization '96.

[66]  George Drettakis,et al.  Efficient Impostor Manipulation for Real‐Time Visualization of Urban Scenery , 1997, Comput. Graph. Forum.

[67]  Bernd Hamann,et al.  A data reduction scheme for triangulated surfaces , 1994, Comput. Aided Geom. Des..

[68]  André Guéziec,et al.  Locally Toleranced Surface Simplification , 1999, IEEE Trans. Vis. Comput. Graph..

[69]  Martin Reddy,et al.  Perceptually Optimized 3D Graphics , 2001, IEEE Computer Graphics and Applications.

[70]  Jihad El-Sana,et al.  Controlled simplification of genus for polygonal models , 1997 .

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

[72]  Greg Turk,et al.  Simplification and Repair of Polygonal Models Using Volumetric Techniques , 2003, IEEE Trans. Vis. Comput. Graph..

[73]  Dinesh Manocha,et al.  Simplification envelopes , 1996, SIGGRAPH.

[74]  Thomas Gerstner.  Multiresolution Compression and Visualization of Global Topographic Data , 2003, GeoInformatica.

[75]  Pat Hanrahan,et al.  Hierarchical splatting: a progressive refinement algorithm for volume rendering , 1991, SIGGRAPH.

[76]  Dinesh Manocha,et al.  Interactive visibility culling in complex environments using occlusion-switches , 2003, I3D '03.

[77]  Leila De Floriani,et al.  VARIANT: A System for Terrain Modeling at Variable Resolution , 2000, GeoInformatica.

[78]  Gabriel Taubin,et al.  Building a Digital Model of Michelangelo's Florentine Pietà , 2002, IEEE Computer Graphics and Applications.

[79]  Dinesh Manocha,et al.  Simplifying complex environments using incremental textured depth meshes , 2003, ACM Trans. Graph..

[80]  Pedro V. Sander,et al.  Signal-Specialized Parametrization , 2002, Rendering Techniques.

[81]  Hugues Hoppe,et al.  Progressive meshes , 1996, SIGGRAPH.

[82]  Michael Garland,et al.  Permission grids: practical, error-bounded simplification , 2002, TOGS.

[83]  David P. Luebke,et al.  Perceptually-Driven Simplification for Interactive Rendering , 2001, Rendering Techniques.

[84]  Hans-Peter Seidel,et al.  A General Framework for Mesh Decimation , 1998, Graphics Interface.

[85]  Paolo Cignoni,et al.  Simplification of Tetrahedral meshes with accurate error evaluation , 2000 .

[86]  David P. Luebke,et al.  A Developer's Survey of Polygonal Simplification Algorithms , 2001, IEEE Computer Graphics and Applications.

[87]  Chandrajit L. Bajaj,et al.  Error-bounded reduction of triangle meshes with multivariate data , 1996, Electronic Imaging.

[88]  David Luebke,et al.  A Survey of Polygonal Simplification Algorithms , 1997 .

[89]  Peter Lindstrom,et al.  Out-of-core simplification of large polygonal models , 2000, SIGGRAPH.

[90]  Rémi Ronfard,et al.  Full‐range approximation of triangulated polyhedra. , 1996, Comput. Graph. Forum.