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Constructive shell representations for freeform surfaces and solids

Author:

Jai P. MenonAuthors Info & Claims

IEEE Computer Graphics and Applications, Volume 14, Issue 2

Pages 24 - 36

https://doi.org/10.1109/38.267468

Published: 01 March 1994 Publication History

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Abstract

We usually model freeform surfaces (mathematically, 2D r-sets embedded in 3D Euclidean space E/sup 3/) as a finite union of patches represented in the traditional parametric or the recently developed algebraic forms. The article introduces a new representation scheme for freeform surfaces called constructive shell representation (CSR), that draws on recent research on algebraic patches. CSRs of surfaces that constitute boundaries of solids are very useful for solid modeling. They represent thick shells derived from freeform surfaces and provide a means to compute exact CSG representations of freeform solids.

References

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Cited By

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Taubin G(2023)A Signal Processing Approach To Fair Surface DesignSeminal Graphics Papers: Pushing the Boundaries, Volume 210.1145/3596711.3596724(103-110)Online publication date: 1-Aug-2023
https://dl.acm.org/doi/10.1145/3596711.3596724
Pratt M(2002)Quartic supercyclides for geometric designFrom geometric modeling to shape modeling10.5555/512296.512318(191-208)Online publication date: 8-Feb-2002
https://dl.acm.org/doi/10.5555/512296.512318
Taubin G(1995)A signal processing approach to fair surface designProceedings of the 22nd annual conference on Computer graphics and interactive techniques10.1145/218380.218473(351-358)Online publication date: 15-Sep-1995
https://dl.acm.org/doi/10.1145/218380.218473
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Index Terms

Constructive shell representations for freeform surfaces and solids
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling
      1. Parametric curve and surface models
      2. Volumetric models

Index terms have been assigned to the content through auto-classification.

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cover image IEEE Computer Graphics and Applications

IEEE Computer Graphics and Applications Volume 14, Issue 2

March 1994

114 pages

ISSN:0272-1716

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IEEE Computer Society Press

Washington, DC, United States

Publication History

Published: 01 March 1994

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Taubin G(2023)A Signal Processing Approach To Fair Surface DesignSeminal Graphics Papers: Pushing the Boundaries, Volume 210.1145/3596711.3596724(103-110)Online publication date: 1-Aug-2023
https://dl.acm.org/doi/10.1145/3596711.3596724
Pratt M(2002)Quartic supercyclides for geometric designFrom geometric modeling to shape modeling10.5555/512296.512318(191-208)Online publication date: 8-Feb-2002
https://dl.acm.org/doi/10.5555/512296.512318
Taubin G(1995)A signal processing approach to fair surface designProceedings of the 22nd annual conference on Computer graphics and interactive techniques10.1145/218380.218473(351-358)Online publication date: 15-Sep-1995
https://dl.acm.org/doi/10.1145/218380.218473
Menon JMarisa RZagajac J(1994)More Powerful Solid Modeling Through Ray RepresentationsIEEE Computer Graphics and Applications10.1109/38.27903914:3(22-35)Online publication date: 1-May-1994
https://dl.acm.org/doi/10.1109/38.279039

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