MATCHING OF IMAGES BASED ON THEIR DIFFEOMORPHIC MAPPING

Author:

Lejhter S. V.,Chukanov S. N.

Abstract

We discuss a problem of comparison of two diffeomorphic images, namely, the source and target images of a diffeomorphism, which are given by two sets of points. The problem is solved on the basis of a method of constructing a minimized functional characterizing the evolution of the diffeomorphic source-to-target image transformation and a penalty for the image path deviation from the required trajectory. An algorithm for solving the diffeomorphic transformation equation is developed on the basis of the gradient descent method. The considered problem of comparison of two images can be used for constructing an optimal metamorphism of images, when there is no exact correspondence between the source and target images of the diffeomorphism.

Publisher

Samara State National Research University

Subject

Electrical and Electronic Engineering,Computer Science Applications,Atomic and Molecular Physics, and Optics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Assessment of Construction Materials Trends Salt Content from Scanned Images;IOP Conference Series: Materials Science and Engineering;2021-03-01

2. The Comparison of Diffeomorphic Images based on the Construction of Persistent Homology;Automatic Control and Computer Sciences;2020-12

3. The matching of images based on de Rham current formation;Journal of Physics: Conference Series;2020-05-01

4. Construction a functional for comparison images of objects;Journal of Physics: Conference Series;2020-01-01

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