TY - GEN
T1 - Approximationorder of the lap optical flow algorithm
AU - Blu, Thierry
AU - Moulin, Pierre
AU - Gilliam, Christopher
PY - 2015/12/9
Y1 - 2015/12/9
N2 - 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.
AB - 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.
KW - Optical flow
KW - Padé approximante
KW - all-pass filtering
KW - approximation
UR - http://www.scopus.com/inward/record.url?scp=84956619123&partnerID=8YFLogxK
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U2 - 10.1109/ICIP.2015.7350757
DO - 10.1109/ICIP.2015.7350757
M3 - Conference contribution
AN - SCOPUS:84956619123
T3 - Proceedings - International Conference on Image Processing, ICIP
SP - 48
EP - 52
BT - 2015 IEEE International Conference on Image Processing, ICIP 2015 - Proceedings
PB - IEEE Computer Society
T2 - IEEE International Conference on Image Processing, ICIP 2015
Y2 - 27 September 2015 through 30 September 2015
ER -