The Stereo Matching Problem From the Topological Viewpoint
Proceedings of the Eighth International Joint Conference on Artificial Intelligence. Vision. Pages 1046-1048.
Abstract
A unifying abstract mathematical structure is presented for a number of vision problems, notably stereo, motion stereo, optic flow, and matching. Ideas from modern di!Terential topology are presented and applied to the general matching problem, a common approach to stereo matching, defined as follows. Given 2 picture functions F1 , F2 : M 2 -+ R", one finds regions K 1 ,K2 C M 2 and a 1-1 matching function g": K 1 -+ K 2 such that Ft = F2 o g". It is shown that generically for monochromepictures (n = 1) there is a large infinity of solutions, but for 2 or more colors (n2) the solution is unique. The paper is offered partially in the hope of introducingvision workers to this type of mathematics and persuading them of its utility.
@inproceedings{ijcai1983p242,
title = {The Stereo Matching Problem From the Topological Viewpoint},
author = {Blicher, A. Peter},
booktitle = {Proceedings of the Eighth International Joint Conference on
Artificial Intelligence, {IJCAI-83}},
publisher = {International Joint Conferences on Artificial Intelligence},
editor = {Alan Bundy},
pages = {1046--1048},
year = {1983},
note = {Vision},
url = {https://ijcai.org/proceedings/1983/242},
}
TY - CPAPER TI - The Stereo Matching Problem From the Topological Viewpoint AU - Blicher, A. Peter T2 - Proceedings of the Eighth International Joint Conference on Artificial Intelligence, IJCAI-83 PB - International Joint Conferences on Artificial Intelligence PY - 1983 SP - 1046 EP - 1048 UR - https://ijcai.org/proceedings/1983/242 ER -Copied
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