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Least Squares Fitting of Piecewise Algebraic Curves

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  • Chun-Gang Zhu
  • Ren-Hong Wang

Abstract

A piecewise algebraic curve is defined as the zero contour of a bivariate spline. In this paper, we present a new method for fitting C 1 piecewise algebraic curves of degree 2 over type-2 triangulation to the given scattered data. By simultaneously approximating points, associated normals and tangents, and points constraints, the energy term is also considered in the method. Moreover, some examples are presented.

Suggested Citation

  • Chun-Gang Zhu & Ren-Hong Wang, 2007. "Least Squares Fitting of Piecewise Algebraic Curves," Mathematical Problems in Engineering, Hindawi, vol. 2007, pages 1-11, December.
    • Handle: RePEc:hin:jnlmpe:078702
    DOI: 10.1155/2007/78702
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