Tianzi Jiang, Songde Ma, National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, Beijing 100080, P.R. China, e-mail: jiangtz@prlsun6.ia.ac.cn
Abstract: 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.
Keywords: Interpolation, trigonometric polynomial, regularity, computer vision
Classification (MSC 1991): 41A05
