On swept volume formulations: Implicit surfaces

K. Abdel-Malek; J. Yang; D. Blackmore

doi:10.1016/S0010-4485(00)00065-8

On swept volume formulations: Implicit surfaces

K. Abdel-Malek, J. Yang, D. Blackmore

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

Recent developments in the formulations for generating swept volumes have made a significant impact on the efficiency of employing such algorithms and on the extent to which formulations can be used in representing complex shapes. In this paper, we outline a method for employing the representation of implicit surfaces using the Jacobian rank deficiency condition presented earlier for the sweep of parametric surfaces. A numerical and broadly applicable analytic formulation is developed that yields the exact swept volume.

Original language	English (US)
Pages (from-to)	113-121
Number of pages	9
Journal	CAD Computer Aided Design
Volume	33
Issue number	1
DOIs	https://doi.org/10.1016/S0010-4485(00)00065-8
State	Published - Jan 2001

All Science Journal Classification (ASJC) codes

Computer Science Applications
Computer Graphics and Computer-Aided Design
Industrial and Manufacturing Engineering

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10.1016/S0010-4485(00)00065-8

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abstract = "Recent developments in the formulations for generating swept volumes have made a significant impact on the efficiency of employing such algorithms and on the extent to which formulations can be used in representing complex shapes. In this paper, we outline a method for employing the representation of implicit surfaces using the Jacobian rank deficiency condition presented earlier for the sweep of parametric surfaces. A numerical and broadly applicable analytic formulation is developed that yields the exact swept volume.",

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On swept volume formulations: Implicit surfaces

Abstract

All Science Journal Classification (ASJC) codes

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