Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
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SCG '94 Proceedings of the tenth annual symposium on Computational geometry
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SCG '01 Proceedings of the seventeenth annual symposium on Computational geometry
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SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
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ACM SIGGRAPH 2003 Papers
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SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
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SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
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ACM SIGGRAPH 2005 Papers
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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
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Discrete & Computational Geometry
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ACM SIGGRAPH Asia 2010 papers
SMI 2011: Full Paper: Point set silhouettes via local reconstruction
Computers and Graphics
Boundary of a non-uniform point cloud for reconstruction: extended abstract
Proceedings of the twenty-seventh annual symposium on Computational geometry
Shape reconstruction from unorganized set of points
ICIAR'10 Proceedings of the 7th international conference on Image Analysis and Recognition - Volume Part I
Non-manifold medial surface reconstruction from volumetric data
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
SMI 2012: Full Consensus meshing
Computers and Graphics
Polygonization of volumetric skeletons with junctions
Computer-Aided Design
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We present an algorithm for the reconstruction of a surface with boundaries (including a non-orientable one) in three dimensions from a sufficiently dense sample. It is guaranteed that the output is isotopic to the unknown sampled surface. No previously known algorithm guarantees isotopic or homeomorphic reconstruction of surfaces with boundaries. Our algorithm is surprisingly simple. It 'peels' slivers greedily from an α-complex of a sample of the surface. No other post-processing is necessary. We provide several experimental results from an implementation of our basic algorithm and also a modified version of it.