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**Least squares fitting of piecewise algebraic curves.**
*(English)*
Zbl 1143.65317

Summary: A piecewise algebraic curve is defined as the zero contour of a bivariate spline. 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.

### MSC:

65D10 | Numerical smoothing, curve fitting |

65D17 | Computer-aided design (modeling of curves and surfaces) |

65D07 | Numerical computation using splines |

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\textit{C.-G. Zhu} and \textit{R.-H. Wang}, Math. Probl. Eng. 2007, Article ID 78702, 11 p. (2007; Zbl 1143.65317)

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