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How Symbolic Computation Can Benefit Computer-Aided Geometric Design

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Artificial Intelligence and Symbolic Computation (AISC 2000)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1930))

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Abstract

Computer-Aided Geometric Design (CAGD) is one of the most important fields in Computer Graphics. Usually, CAGD is handled in traditional programming languages, such as Fortran, Pascal or C. By contrast, this paper supports the idea that Symbolic Computation Systems (SCS) should be used instead. To this aim, the paper shows how some mathematical expressions for Bézier curves and surfaces can be easily translated to the Mathematica programming language. Then, they are used to prove symbolically some mathematical properties related to these geometric entities.

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References

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  4. A. Iglesias: A package for CAGD: Bézier curves and surfaces, (submitted for publicationin: The Mathematica Journal).

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  5. A. Iglesias and A. Gĺvez: A New Artificial Intelligence Paradigm for Computer-Aided Geometric Design, (this volume).

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© 2001 Springer-Verlag Berlin Heidelberg

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Iglesias, A. (2001). How Symbolic Computation Can Benefit Computer-Aided Geometric Design. In: Campbell, J.A., Roanes-Lozano, E. (eds) Artificial Intelligence and Symbolic Computation. AISC 2000. Lecture Notes in Computer Science(), vol 1930. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44990-6_16

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  • DOI: https://doi.org/10.1007/3-540-44990-6_16

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42071-2

  • Online ISBN: 978-3-540-44990-4

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