MATCHING OF IMAGES BASED ON THEIR DIFFEOMORPHIC MAPPING

被引：2
|
作者：
Lejhter, S. V. [1 ]
Chukanov, S. N. [2 ]
机构：
[1] Siberian State Automobile Engn Univ, Omsk, Russia
[2] RAS, Siberian Branch, Sobolev Inst Math, Omsk Branch, Novosibirsk, Russia
来源：
COMPUTER OPTICS | 2018年 / 42卷 / 01期
关键词：
pattern recognition; learning; Euler-Poincare equation; diffeomorphic transformations; metamorphism;
D O I：
10.18287/2412-6179-2018-42-1-96-104
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
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.
引用
收藏
页码：96 / 104
页数：9
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