Feature Matching and Heat Flow in Centro-Affine Geometry

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• ISSN: 1815-0659
• Main Authors: Olver, Peter J., Qu, Changzheng, Yang, Yun
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211027
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Feature Matching and Heat Flow in Centro-Affine Geometry. Peter J. Olver, Changzheng Qu and Yun Yang. SIGMA 16 (2020), 093, 22 pages

In this paper, we study the differential invariants and the invariant heat flow in centro-affine geometry, proving that the latter is equivalent to the inviscid Burgers' equation. Furthermore, we apply the centro-affine invariants to develop an invariant algorithm to match features of objects a...