Tensor Field Design: Algorithms and Applications

Tensor field design has found increasing applications in computer graphics, geometry processing, and scientific visualization. In this chapter, we review recent advances in tensor field design and discuss possible future research directions.

[1]  S. Todorovic,et al.  Video Painting with Space-Time-Varying Style Parameters , 2011, IEEE Transactions on Visualization and Computer Graphics.

[2]  Marc Levoy,et al.  Texture synthesis over arbitrary manifold surfaces , 2001, SIGGRAPH.

[3]  Robert S. Laramee,et al.  Image space based visualization of unsteady flow on surfaces , 2003, IEEE Visualization, 2003. VIS 2003..

[4]  Konstantin Mischaikow,et al.  Vector Field Editing and Periodic Orbit Extraction Using Morse Decomposition , 2007, IEEE Transactions on Visualization and Computer Graphics.

[5]  Bruno Lévy,et al.  N-symmetry direction field design , 2008, TOGS.

[6]  Hans-Peter Seidel,et al.  Vector field based shape deformations , 2006, SIGGRAPH 2006.

[7]  Hans Hagen,et al.  Continuous topology simplification of planar vector fields , 2001, Proceedings Visualization, 2001. VIS '01..

[8]  Eugene Zhang,et al.  Geometry Synthesis on Surfaces Using Field-Guided Shape Grammars , 2011, IEEE Transactions on Visualization and Computer Graphics.

[9]  J A Sethian,et al.  Computing geodesic paths on manifolds. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[10]  Brian Cabral,et al.  Imaging vector fields using line integral convolution , 1993, SIGGRAPH.

[11]  Konstantin Mischaikow,et al.  Feature-based surface parameterization and texture mapping , 2005, TOGS.

[12]  Eugene Zhang,et al.  Interactive Visualization of Rotational Symmetry Fields on Surfaces , 2011, IEEE Transactions on Visualization and Computer Graphics.

[13]  Herbert Edelsbrunner,et al.  Topological Persistence and Simplification , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.

[14]  Greg Turk,et al.  Texture synthesis on surfaces , 2001, SIGGRAPH.

[15]  Michael Garland,et al.  Harmonic functions for quadrilateral remeshing of arbitrary manifolds , 2005, Comput. Aided Geom. Des..

[16]  J. van Wijk,et al.  Spot noise texture synthesis for data visualization , 1991, SIGGRAPH.

[17]  Konrad Polthier,et al.  QuadCover ‐ Surface Parameterization using Branched Coverings , 2007, Comput. Graph. Forum.

[18]  Shi-Min Hu,et al.  Metric-Driven RoSy Field Design and Remeshing , 2010, IEEE Transactions on Visualization and Computer Graphics.

[19]  Jarke J. van Wijk,et al.  Image based flow visualization for curved surfaces , 2003, IEEE Visualization, 2003. VIS 2003..

[20]  Pierre Alliez,et al.  Anisotropic polygonal remeshing , 2003, ACM Trans. Graph..

[21]  Eugene Zhang,et al.  Interactive Tensor Field Design and Visualization on Surfaces , 2007, IEEE Transactions on Visualization and Computer Graphics.

[22]  Aaron Hertzmann,et al.  Painterly rendering with curved brush strokes of multiple sizes , 1998, SIGGRAPH.

[23]  Dinesh Manocha,et al.  Directing Crowd Simulations Using Navigation Fields , 2011, IEEE Transactions on Visualization and Computer Graphics.

[24]  Frédo Durand,et al.  Hair photobooth , 2008, SIGGRAPH 2008.

[25]  Jarke J. van Wijk,et al.  Image based flow visualization , 2002, ACM Trans. Graph..

[26]  Andrew P. Witkin,et al.  Free-form shape design using triangulated surfaces , 1994, SIGGRAPH.

[27]  J. Hart,et al.  Fair morse functions for extracting the topological structure of a surface mesh , 2004, SIGGRAPH 2004.

[28]  Adrien Treuille,et al.  Continuum crowds , 2006, SIGGRAPH 2006.

[29]  Bobby Bodenheimer,et al.  Synthesis and evaluation of linear motion transitions , 2008, TOGS.

[30]  Eugene Zhang,et al.  Hexagonal Global Parameterization of Arbitrary Surfaces , 2012, IEEE Trans. Vis. Comput. Graph..

[31]  Santiago V. Lombeyda,et al.  Discrete multiscale vector field decomposition , 2003, ACM Trans. Graph..

[32]  Konstantin Mischaikow,et al.  Chapter 9 – Conley Index , 2002 .

[33]  Valerio Pascucci,et al.  Spectral surface quadrangulation , 2006, SIGGRAPH 2006.

[34]  Adam Finkelstein,et al.  Lapped textures , 2000, SIGGRAPH.

[35]  Greg Turk,et al.  Geometric texture synthesis by example , 2004, SGP '04.

[36]  Hans-Peter Seidel,et al.  Real-time lens blur effects and focus control , 2010, SIGGRAPH 2010.

[37]  Bruno Lévy,et al.  Geometry-aware direction field processing , 2009, TOGS.

[38]  Aaron Hertzmann,et al.  Illustrating smooth surfaces , 2000, SIGGRAPH.

[39]  Stephen Chenney,et al.  Flow tiles , 2004, SCA '04.

[40]  Anil N. Hirani,et al.  Discrete exterior calculus , 2005, math/0508341.

[41]  Weiwei,et al.  Edge subdivision schemes and the construction of smooth vector fields , 2006, SIGGRAPH 2006.

[42]  Leif Kobbelt,et al.  Direct anisotropic quad-dominant remeshing , 2004, 12th Pacific Conference on Computer Graphics and Applications, 2004. PG 2004. Proceedings..

[43]  Mathieu Desbrun,et al.  Removing excess topology from isosurfaces , 2004, TOGS.

[44]  Taku Komura,et al.  Topology matching for fully automatic similarity estimation of 3D shapes , 2001, SIGGRAPH.

[45]  Kun Zhou,et al.  Mesh quilting for geometric texture synthesis , 2006, SIGGRAPH 2006.

[46]  Hugues Hoppe,et al.  Design of tangent vector fields , 2007, SIGGRAPH 2007.

[47]  Konstantin Mischaikow,et al.  Vector field design on surfaces , 2006, TOGS.

[48]  Lambertus Hesselink,et al.  The topology of symmetric, second-order tensor fields , 1994, Proceedings Visualization '94.

[49]  Pierre Alliez,et al.  Periodic global parameterization , 2006, TOGS.

[50]  Eugene Zhang,et al.  Interactive procedural street modeling , 2008, SIGGRAPH '07.

[51]  Jos Stam,et al.  Flows on surfaces of arbitrary topology , 2003, ACM Trans. Graph..

[52]  E. Zhang,et al.  Rotational symmetry field design on surfaces , 2007, SIGGRAPH 2007.

[53]  Irfan A. Essa,et al.  Image and video based painterly animation , 2004, NPAR '04.

[54]  Long Quan,et al.  Image deblurring with blurred/noisy image pairs , 2007, SIGGRAPH 2007.