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 appearing in images. We show that the resulting algorithm compares favorably with the widely applied scale-invariant feature transform (SIFT), speeded up robust features (SURF), and affine-SIFT (ASIFT) methods.
|Original language||English (US)|
|Journal||Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)|
|State||Published - 2020|
Bibliographical noteFunding Information:
The authors thank the referees for their valuable comments and suggestions. C.Z. Qu is supported by the NSF-China grant-11631007 and grant-11971251. The work of.
The authors thank the referees for their valuable comments and suggestions. C.Z. Qu is supported by the NSF-China grant-11631007 and grant-11971251.
© 2020, Institute of Mathematics. All rights reserved.
- Centro-affine geometry
- Differential invariant
- Edge matching
- Equivariant moving frames
- Heat flow
- Inviscid Burgers’ equation