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Learning smooth shapes by probing - MaRDI portal

Learning smooth shapes by probing (Q871061)

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scientific article; zbMATH DE number 5134248
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Learning smooth shapes by probing
scientific article; zbMATH DE number 5134248

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    Learning smooth shapes by probing (English)
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    15 March 2007
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    The authors consider the problem of discovering the shape of an unknown object of \(\mathbb R ^3\) through an adaptive process of probing its surface from the exterior. The main contribution of this paper is a new probing algorithm, the data structures used to find collision-free paths, for the probing device, and the analysis of the total cost of this sampling procedure [cf. \textit{L. P. Chew}, Proc. 9th Annu. ACM Sympos. Comput. Geom. 274--280 (1993)]. Several open problems based on the approach followed here are also indicated.
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    manifold learning
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    blind surface approximation
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    interactive surface reconstruction
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    surface meshing
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    Delaunay refinement
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    algorithm
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