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

Authors: Fryazinov, O. and Pasko, A.

Journal: CAD Computer Aided Design

Volume: 58

Pages: 43-50

ISSN: 0010-4485

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.

https://eprints.bournemouth.ac.uk/22570/

Source: Scopus

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

Authors: Fryazinov, O. and Pasko, A.

Journal: COMPUTER-AIDED DESIGN

Volume: 58

Pages: 43-50

eISSN: 1879-2685

ISSN: 0010-4485

DOI: 10.1016/j.cad.2014.08.019

https://eprints.bournemouth.ac.uk/22570/

Source: Web of Science (Lite)

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

Authors: Fryazinov, O. and Pasko, A.A.

Journal: Comput. Aided Des.

Volume: 58

Pages: 43-50

DOI: 10.1016/j.cad.2014.08.019

https://eprints.bournemouth.ac.uk/22570/

Source: DBLP

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

Authors: Fryazinov, O. and Pasko, A.

Journal: Computer-Aided Design

Volume: 58

Pages: 43-50

ISSN: 0010-4485

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.

https://eprints.bournemouth.ac.uk/22570/

Source: BURO EPrints