TY - GEN
T1 - Averaged template matching equations
AU - Hirani, Anil N.
AU - Marsden, Jerrold E.
AU - Arvo, James
N1 - Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2001.
PY - 2001
Y1 - 2001
N2 - By exploiting an analogy with averaging procedures in fluid dynamics, we present a set of averaged template matching equations. These equations are analogs of the exact template matching equations that retain all the geometric properties associated with the diffeomor-phism group, and which are expected to average out small scale features and so should, as in hydrodynamics, be more computationally efficient for resolving the larger scale features. From a geometric point of view, the new equations may be viewed as coming from a change in norm that is used to measure the distance between images. The results in this paper represent first steps in a longer term program: what is here is only for binary images and an algorithm for numerical computation is not yet operational. Some suggestions for further steps to develop the results given in this paper are suggested.
AB - By exploiting an analogy with averaging procedures in fluid dynamics, we present a set of averaged template matching equations. These equations are analogs of the exact template matching equations that retain all the geometric properties associated with the diffeomor-phism group, and which are expected to average out small scale features and so should, as in hydrodynamics, be more computationally efficient for resolving the larger scale features. From a geometric point of view, the new equations may be viewed as coming from a change in norm that is used to measure the distance between images. The results in this paper represent first steps in a longer term program: what is here is only for binary images and an algorithm for numerical computation is not yet operational. Some suggestions for further steps to develop the results given in this paper are suggested.
UR - http://www.scopus.com/inward/record.url?scp=84855855265&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84855855265&partnerID=8YFLogxK
U2 - 10.1007/3-540-44745-8_35
DO - 10.1007/3-540-44745-8_35
M3 - Conference contribution
AN - SCOPUS:84855855265
SN - 3540425233
SN - 9783540425236
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 528
EP - 543
BT - Energy Minimization Methods in Computer Vision and Pattern Recognition - 3rd International Workshop, EMMCVPR 2001, Proceedings
A2 - Jain, Anil K.
A2 - Figueiredo, Mario
A2 - Zerubia, Josiane
PB - Springer
T2 - 3rd International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition, EMMCVPR 2001
Y2 - 3 September 2001 through 5 September 2001
ER -