TY - GEN
T1 - Estimation of affine geometric transformations of several objects from global measurements
AU - Hagege, Rami R.
AU - Francos, Joseph M.
PY - 2009/12/1
Y1 - 2009/12/1
N2 - We consider the problem of jointly estimating the affine transformations of multiple objects from a single noisy observation, where each object is undergoing a different affine transformation. The derived algorithm is employed directly, such that prior segmentation of the observation into the distinct objects is avoided. Explicit expressions recovering the parameters of the transformation of each object are derived, assuming only knowledge of the template of each object. In the absence of noise the solution is exact and is not affected by the magnitudes of the deformations. In the presence of noise, the parameters are obtained using a linear least squares solution.
AB - We consider the problem of jointly estimating the affine transformations of multiple objects from a single noisy observation, where each object is undergoing a different affine transformation. The derived algorithm is employed directly, such that prior segmentation of the observation into the distinct objects is avoided. Explicit expressions recovering the parameters of the transformation of each object are derived, assuming only knowledge of the template of each object. In the absence of noise the solution is exact and is not affected by the magnitudes of the deformations. In the presence of noise, the parameters are obtained using a linear least squares solution.
UR - http://www.scopus.com/inward/record.url?scp=74349097390&partnerID=8YFLogxK
U2 - 10.1109/MMSP.2009.5293270
DO - 10.1109/MMSP.2009.5293270
M3 - Conference contribution
AN - SCOPUS:74349097390
SN - 9781424444649
T3 - 2009 IEEE International Workshop on Multimedia Signal Processing, MMSP '09
BT - 2009 IEEE International Workshop on Multimedia Signal Processing, MMSP '09
T2 - 2009 IEEE International Workshop on Multimedia Signal Processing, MMSP '09
Y2 - 5 October 2009 through 7 October 2009
ER -