General Mathematics

    

A Reconstruction Method for the Gradient of a Function in Two-Dimensional Space

Authors: Shumei He, Xiangtuan Xiong

Numerical differentiation is a classical ill-posed problem. In image processing, sometimes we have to compute the gradient of an image. This involves a problem of numerical differentiation. In this paper we present a truncation method to compute the gradient of a two-variables function which can be considered as an image. A H¨older-type stability estimate is obtained. Numerical examples show that the proposed method is effective and stable.

Comments: 9 Pages.

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Submission history

[v1] 2016-01-30 10:24:56

Unique-IP document downloads: 232 times

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