Geodesic
On a new kind of 2-periodic trigonometric interpolation
Applications of Mathematics, Tome 41 (1996) no. 6, pp. 401-410.

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It is well-known that the interpolation theory plays an important role in many fields of computer vision, especially in surface reconstruction. In this paper, we introduce a new kind of 2-period interpolation of functions with period $2\pi $. We find out the necessary and sufficient conditions for regularity of this new interpolation problem. Moreover, a closed form expression for the interpolation polynomial is given. Our interpolation is of practical significance. Our results provide the theoretical basis for using our interpolation in practical problems.
DOI : 10.21136/AM.1996.134334
Classification : 41A05, 42A15
Keywords: Interpolation; trigonometric polynomial; regularity; computer vision 
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Jiang, Tianzi; Ma, Songde. On a new kind of 2-periodic trigonometric interpolation. Applications of Mathematics, Tome 41 (1996) no. 6, pp. 401-410. doi : 10.21136/AM.1996.134334. http://geodesic.mathdoc.fr/articles/10.21136/AM.1996.134334/

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