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3D Surface Reconstruction Using a Generalized Distance Function
Author(s) -
Poranne R.,
Gotsman C.,
Keren D.
Publication year - 2010
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/j.1467-8659.2010.01783.x
Subject(s) - mahalanobis distance , signed distance function , embedding , surface (topology) , radial basis function , surface reconstruction , algorithm , computer science , function (biology) , extension (predicate logic) , mathematics , point (geometry) , artificial intelligence , geometry , artificial neural network , evolutionary biology , biology , programming language
We define a generalized distance function on an unoriented 3D point set and describe how it may be used to reconstruct a surface approximating these points. This distance function is shown to be a Mahalanobis distance in a higher‐dimensional embedding space of the points, and the resulting reconstruction algorithm a natural extension of the classical Radial Basis Function (RBF) approach. Experimental results show the superiority of our reconstruction algorithm to RBF and other methods in a variety of practical scenarios.