SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Progressive forest split compression
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Progressive compression of arbitrary triangular meshes
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Progressive compressive and transmission of arbitrary triangular meshes
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
The digital Michelangelo project: 3D scanning of large statues
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Geometric compression for interactive transmission
Proceedings of the conference on Visualization '00
Progressive compression for lossless transmission of triangle meshes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Progressive lossless compression of arbitrary simplicial complexes
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
IEEE Transactions on Visualization and Computer Graphics
VMV '01 Proceedings of the Vision Modeling and Visualization Conference 2001
Progressive encoding of complex isosurfaces
ACM SIGGRAPH 2003 Papers
Dual Marching Cubes: Primal Contouring of Dual Grids
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Geometry-guided progressive lossless 3D mesh coding with octree (OT) decomposition
ACM SIGGRAPH 2005 Papers
Reconstruction of solid models from oriented point sets
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Poisson surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Multilevel streaming for out-of-core surface reconstruction
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
A Generic Scheme for Progressive Point Cloud Coding
IEEE Transactions on Visualization and Computer Graphics
Progressive Compression of Geometry Information with Smooth Intermediate Meshes
IbPRIA '07 Proceedings of the 3rd Iberian conference on Pattern Recognition and Image Analysis, Part II
Multiscale representation and compression of 3-D point data
IEEE Transactions on Multimedia
Representation and compression of multidimensional piecewise functions using surflets
IEEE Transactions on Information Theory
Streaming surface reconstruction using wavelets
SGP '08 Proceedings of the Symposium on Geometry Processing
Progressive lossless mesh compression via incremental parametric refinement
SGP '09 Proceedings of the Symposium on Geometry Processing
Technologies for 3D mesh compression: A survey
Journal of Visual Communication and Image Representation
Embedded image coding using zerotrees of wavelet coefficients
IEEE Transactions on Signal Processing
Octree-based progressive geometry coding of point clouds
SPBG'06 Proceedings of the 3rd Eurographics / IEEE VGTC conference on Point-Based Graphics
Octree-based point-cloud compression
SPBG'06 Proceedings of the 3rd Eurographics / IEEE VGTC conference on Point-Based Graphics
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We present a new algorithm for compressing surfaces created from oriented points, sampled using a laser range scanner or created from polygonal surfaces. We first use the input data to build an octree whose nodes contain planes that are constructed as the least square fit of the data within that node. Then, given an error threshold, we prune this octree to remove redundant data while avoiding topological changes created by merging disjoint linear pieces. From this octree representation, we provide a progressive encoding technique that encodes the octree structure as well as the plane equations. We encode the planes using distances to three points and a single bit. To decode these planes, we solve a constrained optimization problem that has closed-form solution. We then reconstruct the surface from this representation by implicitizing the discontinuous linear pieces at the leaves of the octree and take a level set of this implicit representation. Our tests show that the proposed method compresses surfaces with higher accuracy and smaller file sizes than other methods.