Duplex Fitting of Zero-level and Offset Surfaces

Release time:2016-04-25

Journal:Computer-Aided Design

Key Words:Surface reconstruction; Implicit surface; Offset surface; Hollowed model; CAD/CAM

Abstract:Offset surfaces play an important role in various CAD/CAM applications. Given a set of oriented points, we propose a hierarchical method in this paper to fit both the zero-level surface and its offset surface with a single implicit function. The implicit function is formed by compactly supported radial basis functions (CSRBFs). Different from other existing methods in literature, our approach reconstructs an implicit function which interpolates or approximates both the zero-level surface and the offset surface of a given point set, simultaneously. Employing locally supported functions leads to

Co-author:Shengjun Liu, Charlie C.L.Wang

Indexed by:Unit Twenty Basic Research

Document Type:J

Volume:41

Issue:4

Page Number:268–281

Translation or Not:no

Date of Publication:2009-04-01

Links to published journals:http://www.sciencedirect.com/science/article/pii/S0010448508002017