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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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.
|Uncontrolled Keywords:||Component analysis ; Component detection ; Component separation ; Implicit surfaces ; Scalar fields|
|Group:||Faculty of Science and Technology|
|Deposited By:||Unnamed user with email symplectic@symplectic|
|Deposited On:||02 Oct 2015 08:58|
|Last Modified:||01 Jan 2016 01:08|
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