ACM SIGGRAPH 2004 Papers
GPU-based rendering of sparse low-degree implicit surfaces
Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia
Interactive ray tracing of point-based models
SIGGRAPH '05 ACM SIGGRAPH 2005 Sketches
An adaptive MLS surface for reconstruction with guarantees
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
An extension on robust directed projection of points onto point clouds
Computer-Aided Design
Front tracking with moving-least-squares surfaces
Journal of Computational Physics
Direct boolean intersection between acquired and designed geometry
Computer-Aided Design
A quasi-Monte Carlo method for computing areas of point-sampled surfaces
Computer-Aided Design
Out-of-core MLS reconstruction
CGIM '07 Proceedings of the Ninth IASTED International Conference on Computer Graphics and Imaging
Surface area estimation of digitized 3D objects using quasi-Monte Carlo methods
Pattern Recognition
Implicit surface octrees for ray tracing point models
Proceedings of the Seventh Indian Conference on Computer Vision, Graphics and Image Processing
Defining, contouring, and visualizing scalar functions on point-sampled surfaces
Computer-Aided Design
Graph-based representations of point clouds
Graphical Models
A height-difference-based ray tracing of point models
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
Curvature estimation of point-sampled surfaces and its applications
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
Visible neighborhood graph of point clouds
Graphical Models
Hardware-accelerated extraction and rendering of point set surfaces
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
The domain of a point set surface
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Interactive ray tracing of point-based models
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Normal estimation for point clouds: a comparison study for a Voronoi based method
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Computing variation modes for point set surfaces
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Conversion of point-sampled models to textured meshes
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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Point set surfaces (PSS) are a smooth manifold surfaceapproximation from a set of sample points. The surface definitionis based on a projection operation that constructslocal polynomial approximations and respects a minimumfeature size. We present techniques for ray tracing PSSs.For the computation of ray-surface intersection the propertiesof the projection operation are exploited: The surface isenclosed by a union of minimum feature size spheres. A rayis intersected with the spheres first and inside the sphereswith local polynomial approximations. Our results showthat 2-3 projections are sufficient to accurately intersect aray with the surface.