Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th 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
Pointshop 3D: an interactive system for point-based surface editing
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Proceedings of the conference on Visualization '01
Efficient simplification of point-sampled surfaces
Proceedings of the conference on Visualization '02
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Proceedings of the 12th Eurographics Workshop on Rendering Techniques
Ray Tracing Point Set Surfaces
SMI '03 Proceedings of the Shape Modeling International 2003
Estimating the tensor of curvature of a surface from a polyhedral approximation
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Shape modeling with point-sampled geometry
ACM SIGGRAPH 2003 Papers
Approximating and intersecting surfaces from points
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
ACM SIGGRAPH 2004 Papers
The domain of a point set surface
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
On normals and projection operators for surfaces defined by point sets
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Moving parabolic approximation of point clouds
Computer-Aided Design
3D Animation Compression Using Affine Transformation Matrix and Principal Component Analysis
IEICE - Transactions on Information and Systems
Multimodal segmentation of dense depth maps and associated color information
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
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In this paper, we propose a new approach to estimate curvature information of point-sampled surfaces. We estimate curvatures in terms of the extremal points of a one-dimensional energy function for discrete surfels (points equipped with normals) and a multi-dimensional energy function for discrete unstructured point clouds. Experimental results indicate that our approaches can estimate curvatures faithfully, and reflect the subtle curvature variations. Some applications for curvature information, such as surface simplification and feature extraction for point-sampled surfaces, are given.