Abstract
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) |
|---|---|
| Article number | 093 |
| Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
| Volume | 16 |
| DOIs | |
| State | Published - 2020 |
Bibliographical note
Publisher Copyright:© 2020, Institute of Mathematics. All rights reserved.
Keywords
- Centro-affine geometry
- Differential invariant
- Edge matching
- Equivariant moving frames
- Heat flow
- Inviscid Burgers’ equation