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SWEPT VOLUMES: FUNDATION, PERSPECTIVES, AND APPLICATIONS

Virtual Soldier Research (VSR) Program, Center for Computer-Aided Design, The University of Iow, USA, Iowa City, Iowa 52242, USA

Tel: 319-353-2249, Fax: 319-384-0542.

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JINGZHOU YANG

Virtual Soldier Research (VSR) Program, Center for Computer-Aided Design, The University of Iow, USA, Iowa City, Iowa 52242, USA

Tel: 319-353-2249, Fax: 319-384-0542.

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DENIS BLACKMORE

Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, New Jersey 0710, USA

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, and

KEN JOY

Computer Science Department, University of California Davis, Davis, California 95616, USA

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https://doi.org/10.1142/S0218654306000858Cited by:89 (Source: Crossref)

Abstract

A survey of swept volume concepts and methods is presented. It consolidates and relates seemingly different terminology and methods. The methods are divided into five major categories: method with envelope theory, method with sweep differential equation (SDE)/sweep envelope differential equation (SEDE), method with Jacobian rank deficiency, Voxel-based method, and free-form solids' sweeping methods. Commentary is provided on three fronts, concerning the advantages and pitfalls of individual methods, the different classes of methods, and the field of swept volumes as a whole. The characteristics of the most significant methods are summarized. The applicability of this seemingly simple formulation to the fields of solid modeling, robotics, manufacturing automation, and visualization is demonstrated through results reported by the authors, each in their own field.

Keywords:

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