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Multivariate spline approximation of the signed distance function

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Indexed by:期刊论文

Date of Publication:2014-08-01

Journal:JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Included Journals:SCIE

Volume:265

Page Number:276-289

ISSN No.:0377-0427

Key Words:Multivariate spline; Signed distance function; Type-2 triangulation; Trimmed offset; Quasi-interpolation

Abstract:The signed distance function can effectively support many geometry processing tasks such as decimates, smoothing and shape reconstruction since it provides efficient access to distance estimates. In this paper, we present an adaptive method to approximate the signed distance function of a smooth curve by using polynomial splines over type-2 triangulation. The trimmed offsets are also studied. (c) 2013 Elsevier B.V. All rights reserved.

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