Multiresolution analysis of arbitrary meshes
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)
Interactive multiresolution mesh editing
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
The approximation power of moving least-squares
Mathematics of Computation
Multiresolution signal processing for meshes
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Displaced subdivision surfaces
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Surfels: surface elements as rendering primitives
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
QSplat: a multiresolution point rendering system for large meshes
Proceedings of the 27th 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
Efficient high quality rendering of point sampled geometry
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Efficient simplification of point-sampled surfaces
Proceedings of the conference on Visualization '02
Multiresolution Methods for Nonmanifold Models
IEEE Transactions on Visualization and Computer Graphics
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Progressive point set surfaces
ACM Transactions on Graphics (TOG)
Approximating Bounded, Non-Orientable Surfaces from Points
SMI '04 Proceedings of the Shape Modeling International 2004
ACM SIGGRAPH 2004 Papers
Provably good moving least squares
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Anisotropic point set surfaces
AFRIGRAPH '06 Proceedings of the 4th international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
Anisotropic smoothing of point sets
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
A dynamic balanced flow for filtering point-sampled geometry
The Visual Computer: International Journal of Computer Graphics
Point-based multiscale surface representation
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 2006 Papers
Point-Based Graphics
A novel simplification algorithm for point-sampled surfaces
MUE '07 Proceedings of the 2007 International Conference on Multimedia and Ubiquitous Engineering
Parameterization-free projection for geometry reconstruction
ACM SIGGRAPH 2007 papers
ACM SIGGRAPH 2007 papers
Data-dependent MLS for faithful surface approximation
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Meshless geometric subdivision
Graphical Models
Moving parabolic approximation of point clouds
Computer-Aided Design
Interpolatory point set surfaces—convexity and Hermite data
ACM Transactions on Graphics (TOG)
Dynamic surfel set refinement for high-quality rendering
Computers and Graphics
A survey of point-based techniques in computer graphics
Computers and Graphics
Fan clouds: an alternative to meshes
Proceedings of the 11th international conference on Theoretical foundations of computer vision
Progressive decomposition of point clouds without local planes
ICVGIP'06 Proceedings of the 5th Indian conference on Computer Vision, Graphics and Image Processing
On normals and projection operators for surfaces defined by point sets
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Surface reconstruction with enriched reproducing kernel particle approximation
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
A survey of methods for moving least squares surfaces
SPBG'08 Proceedings of the Fifth Eurographics / IEEE VGTC conference on Point-Based Graphics
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Multiresolution representations of 3D surfaces make it possible to concentrate the efforts of a modification at the appropriate level of detail. This paper introduces a multiresolution representation for point-set surfaces. At each level, the point set is smoothed and downsampled, and the geometric details are encoded along the smoothed surface normal. The resulting structure is only slightly larger than the original point set and allows to reconstruct it precisely. We demonstrate how it can be used for surface deformation and for frequency band scaling.