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.
| Original language | English |
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| Title of host publication | 2015 IEEE International Conference on Image Processing, ICIP 2015 - Proceedings |
| Publisher | IEEE Computer Society Press |
| Pages | 48-52 |
| Number of pages | 5 |
| ISBN (Electronic) | 9781479983391 |
| DOIs | |
| Publication status | Published - 9 Dec 2015 |
| Event | IEEE International Conference on Image Processing, ICIP 2015 - Quebec City, Canada Duration: 27 Sept 2015 → 30 Sept 2015 |
Publication series
| Name | Proceedings - International Conference on Image Processing, ICIP |
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| Volume | 2015-December |
| ISSN (Print) | 1522-4880 |
Conference
| Conference | IEEE International Conference on Image Processing, ICIP 2015 |
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| Country/Territory | Canada |
| City | Quebec City |
| Period | 27/09/15 → 30/09/15 |
Bibliographical note
Publisher Copyright:© 2015 IEEE.
Keywords
- all-pass filtering
- approximation
- Optical flow
- Padé approximante
ASJC Scopus subject areas
- Computer Vision and Pattern Recognition
- Signal Processing
- Software