Approximation order of the lap optical flow algorithm

Blu, T, Moulin, P and Gilliam, C 2015, 'Approximation order of the lap optical flow algorithm', in Proceedings of the 22nd IEEE International Conference on Image Processing (ICIP 2015), Quebec, Canada, 27-30 September 2015, pp. 48-52.


Document type: Conference Paper
Collection: Conference Papers

Title Approximation order of the lap optical flow algorithm
Author(s) Blu, T
Moulin, P
Gilliam, C
Year 2015
Conference name ICIP 2015
Conference location Quebec, Canada
Conference dates 27-30 September 2015
Proceedings title Proceedings of the 22nd IEEE International Conference on Image Processing (ICIP 2015)
Publisher IEEE
Place of publication United States
Start page 48
End page 52
Total pages 5
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 Pade approximants.
Subjects Image Processing
Signal Processing
Keyword(s) Optical flow
all-pass filtering
approximation
Pade approximant
DOI - identifier 10.1109/ICIP.2015.7350757
Copyright notice © 2015 IEEE
ISBN 9781479983407
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