Abstract

In this article we extend the block-based inverse differences and block-based differences to the block-based vector-valued inverse differences and block-based vector-valued differences. The block-based Newton-like vector-valued blending interpolants was constructed via Newton’s method and Samelson inverse. The characteristic properties for block-based Newton-like vector-valued blending interpolants are discussed and examples are calculated via Samelson inverse. Obviously, our method offers many nimble vectorvalued interpolation forms for selections. In the end, we discussed the flexible and the applications of image processing of our method.

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