Differential Matching Constraints

We introduce a finite difference expansion for closely spaced cameras in projective vision, and use it to derive differential analogues of the finite-displacement projective matching tensors and constraints. The results are simpler, more general and easier to use than ?Astr?om & Heyden's time-derivative based `continuous time matching constraints'. We suggest how to use the formalism for `tensor tracking' -- propagation of matching relations against a fixed base image along an image sequence. We relate this to nonlinear tensor estimators and show how `unwrapping the optimization loop' along the sequence allows simple `linear ? point' update estimates to converge rapidly to statistically near-optimal, nearconsistent tensor estimates as the sequence proceeds. We also give guidelines as to when difference expansion is likely to be worthwhile as compared to a discrete approach.

• Type: Conference
• Year: 1999
• Where: ICCV
• Authors: Bill Triggs
• Keywords: Computer Vision, Finite Difference Expansion, ICCV 1999, Nearconsistent Tensor Estimates, Projective Matching Tensors, Tensor Estimators, Time Matching Constraints