Approximationorder of the lap optical flow algorithm
Journal
Proceedings - International Conference on Image Processing, ICIP
Journal Volume
2015-December
ISBN
9781479983391
Date Issued
2015-12-09
Author(s)
Abstract
Estimating the displacements between two images is often addressed using a small displacement assumption, which leads to what is known as the optical flow equation. We study the quality of the underlying approximation for the recently developed Local All-Pass (LAP) optical flow algorithm, which is based on another approach - displacements result from filtering. While the simplest version of LAP computes only first-order differences, we show that the order of LAP approximation is quadratic, unlike standard optical flow equation based algorithms for which this approximation is only linear. More generally, the order of approximation of the LAP algorithm is twice larger than the differentiation order involved. The key step in the derivation is the use of Padé approximants.
Subjects
all-pass filtering | approximation | Optical flow | Padé approximante
Type
conference paper