TY - JOUR
T1 - Experience in using homotopy methods to solve motion estimation problems
AU - Holt, Robert J.
AU - Netravali, Arun N.
AU - Huang, Thomas S.
N1 - Funding Information:
suggestions and A. S. Krishnakumar for help in implementing the improved code. The work of T. S. Huang was supported in part by NSF Grant 1111-89-08255.
Funding Information:
The authors would like to thank Layne Watson, Baker Kearfott, and Bob Melville for their helpful suggestions and A. S. Krishnakumar for help in implementing the improved code. The work of T. S. Huang was supported in part by NSF Grant IRI-89-08255.
Publisher Copyright:
© 1990 SPIE. All rights reserved.
PY - 1990/8/1
Y1 - 1990/8/1
N2 - We consider the problem of determining motion (three-dimensional rotation and translation) of rigid objects from their images taken at two time instants. The locations of the perspective projection of each of n feature points onto the image plane from the surface of the rigid body are assumed to be known at those times. We state some results of previous work, and in the important n = 5 case show how all the solutions can be obtained nearly six times as quickly as before. In the cases n = 6 and n = 7, all the solutions can be obtained approximately fifteen and thirty times more quickly, respectively, than by the previous method.
AB - We consider the problem of determining motion (three-dimensional rotation and translation) of rigid objects from their images taken at two time instants. The locations of the perspective projection of each of n feature points onto the image plane from the surface of the rigid body are assumed to be known at those times. We state some results of previous work, and in the important n = 5 case show how all the solutions can be obtained nearly six times as quickly as before. In the cases n = 6 and n = 7, all the solutions can be obtained approximately fifteen and thirty times more quickly, respectively, than by the previous method.
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U2 - 10.1117/12.19749
DO - 10.1117/12.19749
M3 - Conference article
AN - SCOPUS:0345146538
SN - 0277-786X
VL - 1251
SP - 219
EP - 226
JO - Proceedings of SPIE - The International Society for Optical Engineering
JF - Proceedings of SPIE - The International Society for Optical Engineering
T2 - Curves and Surfaces in Computer Vision and Graphics 1990
Y2 - 11 February 1990 through 16 February 1990
ER -