The union of balls and its dual shape
SCG '93 Proceedings of the ninth annual symposium on Computational geometry
Handbook of discrete and computational geometry
Handbook of discrete and computational geometry
A simple algorithm for homeomorphic surface reconstruction
Proceedings of the sixteenth annual symposium on Computational geometry
Proceedings of the sixth ACM symposium on Solid modeling and applications
Provable surface reconstruction from noisy samples
Computational Geometry: Theory and Applications
Boundary of a non-uniform point cloud for reconstruction: extended abstract
Proceedings of the twenty-seventh annual symposium on Computational geometry
Automatic recognition of 2D shapes from a set of points
ICIAR'11 Proceedings of the 8th international conference on Image analysis and recognition - Volume Part I
Shape reconstruction from unorganized set of points
ICIAR'10 Proceedings of the 7th international conference on Image Analysis and Recognition - Volume Part I
On the shape of a set of points in the plane
IEEE Transactions on Information Theory
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This paper deals with the problem of shape reconstruction from an unorganized and not necessarily uniformly distributed point cloud with outliers. A shape reconstruction method based on a Delaunay filtration called LDA-α-shapes has been introduced in 2010 [1]. This method may be used to reconstruct 2-D or 3-D shapes from a non necessary uniformly distributed point cloud but unfortunately it faces problems when there are outliers. For this reason, a little modification of the LDA-α-shapes definition is proposed in this article to deal with this kind of point clouds. The resulting new algorithm is still simple and efficient.