Scalar Field Analysis over Point Cloud Data
نویسندگان
چکیده
منابع مشابه
Scalar Field Analysis over Point Cloud Data
Given a real-valued function f defined over some metric space X, is it possible to recover some structural information about f from the sole information of its values at a finite set L ⊆ X of sample points, whose locations are only known through their pairwise distances in X? We provide a positive answer to this question. More precisely, taking advantage of recent advances on the front of stabi...
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Given a real-valued function f defined over some metric space X, is it possible to recover some structural information about f from the sole information of its values at a finite set L ⊆ X of sample points, whose pairwise distances in X are given? We provide a positive answer to this question. More precisely, taking advantage of recent advances on the front of stability for persistence diagrams...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2011
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-011-9360-x