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Some applications of resultants to problems in computational geometry

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Abstract

Resultants were originally developed in the 18th and 19th centuries to solve certain simple algebraic problems. Here we shall present some applications of resultants to several important problems in computational geometry, including the implicitization, inversion, and intersection of parametric rational polynomial curves and surfaces.

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Authors and Affiliations

  1. Control Data Corporation, 4201 North Lexington Avenue, AHS-251, 55112, Arden Hills, Minnesota, USA

    Ronald N. Goldman

  2. Department of Civil Engineering, Brigham Young University, 368 Clyde Building, 84602, Provo, Utah, USA

    Thomas W. Sederberg

Authors
  1. Ronald N. Goldman
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  2. Thomas W. Sederberg
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Additional information

This paper was first delivered orally at the International Conference on Engineering and Computer Graphics in Beijing, China, held in August 1984

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Goldman, R.N., Sederberg, T.W. Some applications of resultants to problems in computational geometry. The Visual Computer 1, 101–107 (1985). https://doi.org/10.1007/BF01898352

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  • DOI: https://doi.org/10.1007/BF01898352

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