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A new method for generating conic sections

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Abstract

This paper presents a difference method for computing vertices of the polygon inscribed in a conic section. It can be applied to computer graphic package or to plotter to generate conic sections. This method is simpler and more efficient than traditional ones, and its form remains invariant under homogeneous affine transformations. The stability of the method and its relationship with its matrix counterpart are also discussed.

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Reference

  1. W.M. Newman and R.F. Sproull, Principles of Interactive Computer Graphics, McGraw-Hill, New York, 1973.

    MATH  Google Scholar 

  2. D. Cohen, On Linear Difference Curve, Dept. Eng. Appl. Math., Harvard Univ., 1969, also in Computer Display Review.

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Authors and Affiliations

  1. Shandong University, Jinan

    Wang Wenping & Wang Jiaye

Authors
  1. Wang Wenping
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  2. Wang Jiaye
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Wang, W., Wang, J. A new method for generating conic sections. J. of Comput. Sci. & Technol. 4, 155–162 (1989). https://doi.org/10.1007/BF02943363

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  • DOI: https://doi.org/10.1007/BF02943363

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