3D Surface Reconstruction Using a Generalized Distance Function

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Date
2010
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and Blackwell Publishing Ltd
Abstract
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.
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@article{
10.1111:j.1467-8659.2010.01783.x
, journal = {Computer Graphics Forum}, title = {{
3D Surface Reconstruction Using a Generalized Distance Function
}}, author = {
Poranne, R.
and
Gotsman, C.
and
Keren, D.
}, year = {
2010
}, publisher = {
The Eurographics Association and Blackwell Publishing Ltd
}, ISSN = {
1467-8659
}, DOI = {
10.1111/j.1467-8659.2010.01783.x
} }
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