  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.
