Swept volumes: Fundation, perspectives, and applications

Document Type

Article

Publication Date

6-1-2006

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. © World Scientific Publishing Company.

Identifier

33745888998 (Scopus)

Publication Title

International Journal of Shape Modeling

External Full Text Location

https://doi.org/10.1142/S0218654306000858

ISSN

02186543

First Page

87

Last Page

127

Issue

1

Volume

12

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