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Reliable detection and separation of components for solid objects defined with scalar fields.

Fryazinov, O. and Pasko, A., 2015. Reliable detection and separation of components for solid objects defined with scalar fields. Computer-Aided Design, 58, 43 - 50 .

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DOI: 10.1016/j.cad.2014.08.019

Abstract

The detection of the number of disjoint components is a well-known procedure for surface objects. However, this problem has not been solved for solid models defined with scalar fields in the so-called implicit form. In this paper, we present a technique which allows for detection of the number of disjoint components with a predefined tolerance for an object defined with a single scalar function. The core of the technique is a reliable continuation of the spatial enumeration based on the interval methods. We also present several methods for separation of components using set-theoretic operations for further handling these components individually in a solid modelling system dealing with objects defined with scalar fields.

Item Type:Article
ISSN:0010-4485
Uncontrolled Keywords:Component analysis ; Component detection ; Component separation ; Implicit surfaces ; Scalar fields
Group:Faculty of Science & Technology
ID Code:22570
Deposited By: Symplectic RT2
Deposited On:02 Oct 2015 08:58
Last Modified:14 Mar 2022 13:53

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