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A New Formulation for Discrete Box Splines Reducing Computational Cost and Its Evaluation

Takeshi ASAHI, Koichi ICHIGE, Rokuya ISHII

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Summary :

This paper presents a fast algorithm for calculating box splines sampled at regular intervals. This algorithm is based on the representation by directional summations, while splines are often represented by convolutions. The summation-based representation leads less computational complexity: the proposed algorithm requires fewer additions and much fewer multiplications than the algorithm based on convolutions. The proposed algorithm is evaluated in the sense of the number of additions and multiplications for three- and four-directional box splines to see how much those operations are reduced.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.3 pp.884-892
Publication Date
2001/03/01
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