Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
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A volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Surface reconstruction by Voronoi filtering
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Multiple view geometry in computer visiond
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The Ball-Pivoting Algorithm for Surface Reconstruction
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VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
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Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
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SMI '04 Proceedings of the Shape Modeling International 2004
Spectral surface reconstruction from noisy point clouds
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Provably good sampling and meshing of surfaces
Graphical Models - Solid modeling theory and applications
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SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
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Poisson surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Voronoi-based variational reconstruction of unoriented point sets
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Provable surface reconstruction from noisy samples
Computational Geometry: Theory and Applications
Technical Section: Robust normal estimation for point clouds with sharp features
Computers and Graphics
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We introduce a method for surface reconstruction from point sets that is able to cope with noise and outliers. First, a splat-based representation is computed from the point set. A robust local 3D RANSAC-based procedure is used to filter the point set for outliers, then a local jet surface - a low-degree surface approximation - is fitted to the inliers. Second, we extract the reconstructed surface in the form of a surface triangle mesh through Delaunay refinement. The Delaunay refinement meshing approach requires computing intersections between line segment queries and the surface to be meshed. In the present case, intersection queries are solved from the set of splats through a 1D RANSAC procedure.