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C2 quartic spline surface interpolation

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Abstract

This paper discusses the problem of constructing C2 quartic spline surface interpolation. Decreasing the continuity of the quartic spline to C2 offers additional freedom degrees that can be used to adjust the precision and the shape of the interpolation surface. An approach to determining the freedom degrees is given, the continuity equations for constructing C2 quartic spline curve are discussed, and a new method for constructing C2 quartic spline surface is presented. The advantages of the new method are that the equations that the surface has to satisfy are strictly row diagonally dominant, and the discontinuous points of the surface are at the given data points. The constructed surface has the precision of quartic polynomial. The comparison of the interpolation precision of the new method with cubic and quartic spline methods is included.

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Authors and Affiliations

  1. School of Computer Science and Technology, Shandong University, 250100, Jinan, China

    Zhang Caiming & Wang Jiaye

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  1. Zhang Caiming
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  2. Wang Jiaye
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Correspondence to Zhang Caiming.

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Zhang, C., Wang, J. C2 quartic spline surface interpolation. Sci China Ser F 45, 416–432 (2002). https://doi.org/10.1360/02yf9036

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  • DOI: https://doi.org/10.1360/02yf9036

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