Arithmetic coding for data compression
Communications of the ACM
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
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
Source Coding Theory
Subdivision Methods for Geometric Design: A Constructive Approach
Subdivision Methods for Geometric Design: A Constructive Approach
Vertex Data Compression through Vector Quantization
IEEE Transactions on Visualization and Computer Graphics
DCC '97 Proceedings of the Conference on Data Compression
Space-frequency quantization for wavelet image coding
IEEE Transactions on Image Processing
ACM Transactions on Graphics (TOG)
An efficient bit allocation for compressing normal meshes with an error-driven quantization
Computer Aided Geometric Design - Special issue: Geometry processing
Mean Square Error Approximation for Wavelet-Based Semiregular Mesh Compression
IEEE Transactions on Visualization and Computer Graphics
Journal of Visual Communication and Image Representation
Normal mesh based geometrical image compression
Image and Vision Computing
An efficient bit allocation for compressing normal meshes with an error-driven quantization
Computer Aided Geometric Design - Special issue: Geometry processing
Globally convergent adaptive normal multi-scale transforms
Proceedings of the 7th international conference on Curves and Surfaces
Normal multi-scale transforms for surfaces
Proceedings of the 7th international conference on Curves and Surfaces
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
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We propose a new rate-distortion based algorithm for compressing 3D surface geometry represented using triangular normal meshes. We apply the Estimation-Quantization (EQ) algorithm to compress normal mesh wavelet coefficients. The EQ algorithm models the wavelet coefficients as a Gaussian random field with slowly varying standard deviation that depends on the local neighborhood and uses rate-distortion optimal scalar quantizers. We achieve gains of 0.5 to 1 dB with the EQ algorithm compared to the recently proposed zerotree compression for normal meshes.