Volumetric shape description of range data using “Blobby Model”
Proceedings of the 18th 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
A volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Modelling with implicit surfaces that interpolate
ACM Transactions on Graphics (TOG)
Proceedings of the conference on Visualization '01
Efficient simplification of point-sampled surfaces
Proceedings of the conference on Visualization '02
A Multi-scale Approach to 3D Scattered Data Interpolation with Compactly Supported Basis Functions
SMI '03 Proceedings of the Shape Modeling International 2003
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
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In this paper, we presented a point sampled surface reconstruction method based on local geometry. First, an adaptive Binary Space Partition (aBSP) tree was built based on the local shape complexity which was judged by three factors: local main curvature, the normal cone and the number of points. Different local complexities produce different aBSP-trees. Then, each leaf node in the aBSP-tree was approximated by a weighted quadric function and the center points set of aBSP tree's leaf nodes could be treated as one approximation to the original point set at a given complexity of the local shape. Finally, a ray tracer based on point was used to render these aBSP-trees, which avoids triangulating of implicit surfaces before they are rendered. The experimental results show that the method can reconstruct sharp features very conveniently and effectively.