SIAM Journal on Computing
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Strategies for polyhedral surface decomposition: an experimental study
Proceedings of the eleventh annual symposium on Computational geometry
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Progressive simplicial complexes
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Computational geometry: algorithms and applications
Computational geometry: algorithms and applications
Geometric compression through topological surgery
ACM Transactions on Graphics (TOG)
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Real time compression of triangle mesh connectivity
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Level set diagrams of polyhedral objects
Proceedings of the fifth ACM symposium on Solid modeling and applications
WRAP&Zip decompression of the connectivity of triangle meshes compressed with edgebreaker
Computational Geometry: Theory and Applications - Special issue on multi-resolution modelling and 3D geometry compression
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
The digital Michelangelo project: 3D scanning of large statues
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Progressive geometry compression
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Spectral compression of mesh geometry
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Hierarchical face clustering on polygonal surfaces
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Progressive compression for lossless transmission of triangle meshes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Topology matching for fully automatic similarity estimation of 3D shapes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Spectral processing of point-sampled geometry
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
An edgebreaker-based efficient compression scheme for regular meshes
Computational Geometry: Theory and Applications
Data Compression: The Complete Reference
Data Compression: The Complete Reference
Edgebreaker: Connectivity Compression for Triangle Meshes
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Visualization and Computer Graphics
SQUEEZE: Fast and Progressive Decompression of Triangle Meshes
CGI '00 Proceedings of the International Conference on Computer Graphics
A Fast Renormalisation for Arithmetic Coding
DCC '98 Proceedings of the Conference on Data Compression
Spirale Reversi: Reverse decoding of the Edgebreaker encoding
Spirale Reversi: Reverse decoding of the Edgebreaker encoding
A new, fast, and efficient image codec based on set partitioning in hierarchical trees
IEEE Transactions on Circuits and Systems for Video Technology
Out-of-core compression for gigantic polygon meshes
ACM SIGGRAPH 2003 Papers
Edge-sharpener: recovering sharp features in triangulations of non-adaptively re-meshed surfaces
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
IEEE Transactions on Visualization and Computer Graphics
Geometry-guided progressive lossless 3D mesh coding with octree (OT) decomposition
ACM SIGGRAPH 2005 Papers
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
Mesh connectivity compression using convection reconstruction
Proceedings of the 2007 ACM symposium on Solid and physical modeling
A multiple B-Spline representation for progressive 3D mesh compression
ICCOM'05 Proceedings of the 9th WSEAS International Conference on Communications
On the selection of a platonic solid for mesh segmentation
INES'09 Proceedings of the IEEE 13th international conference on Intelligent Engineering Systems
Compression of point-based 3D models by shape-adaptive wavelet coding of multi-height fields
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Comparison of point clouds acquired by 3d scanner
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
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We present an algorithm which splits a 3D surface into reliefs, relatively fiat regions that have smooth boundaries. The surface is then resampled in a regular manner within each of the reliefs. As a result, we obtain a piecewise regular mesh (PRM) having a regular structure on large regions. Experimental results show that we are able to approximate the input surface with the mean square error of about 0.01- 0.02% of the diameter of the bounding box without increasing the number of vertices. We introduce a compression scheme tailored to work with our remeshed models and show that it is able to compress them losslessly (after quantizing the vertex locations) without significantly increasing the approximation error using about 4 bits per vertex of the resampled model.