A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Multiresolution analysis for surfaces of arbitrary topological type
ACM Transactions on Graphics (TOG)
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
A topology modifying progressive decimation algorithm
VIS '97 Proceedings of the 8th conference on Visualization '97
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Progressive geometry compression
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Edgebreaker: Connectivity Compression for Triangle Meshes
IEEE Transactions on Visualization and Computer Graphics
The contourlet transform: an efficient directional multiresolution image representation
IEEE Transactions on Image Processing
Multidimensional Directional Filter Banks and Surfacelets
IEEE Transactions on Image Processing
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A progressive mesh compression method based on surfacelet transform is proposed in this paper. Firstly we take spherical parameterization for the three-dimensional mesh, and then make surfacelet transform for the data that sampling from the parameterized spherical mesh. It can take full advantage of the surfacelet transform that effective capture and express high-dimensional singular surface characteristics of the signal, and can better code and reconstruct the characteristics. Surfacelet transform can carry out the direction filtering, which can effectively solve the problem that wavelet transform can not locate the edge and contour position for high-frequency signals. Experimental results show that our algorithm has achieved a good progressive reconstruction effects. Compared with wavelet compression, surfacelet can better reconstruct the original mesh geometry and surface characteristics.