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.
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 
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
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