DocumentCode :
2659263
Title :
Camera motion parameter recovery under perspective projection
Author :
Diamantaras, K.I. ; Strintzis, M.G.
Author_Institution :
Dept. of Electr. & Comput. Eng., Thessaloniki Univ., Greece
Volume :
3
fYear :
1996
fDate :
16-19 Sep 1996
Firstpage :
807
Abstract :
We present a very simple solution of the motion recovery problem using the displacement map produced by a camera moving in a stationary environment under the perspective projection assumption. If the motion equations hold exactly (ideal case), the solution is derived immediately from the singular value decomposition (SVD) of a linear system matrix. In the ideal case the rank of the matrix indicates whether there is a zero or non-zero translation component in the camera motion. In practice the motion equations do not hold exactly. We speculate that the solution vector is a linear combination of the 3 smallest but non-zero eigenvalue eigenvectors. Then we find the 3 combination coefficients so that the solution obeys an equal number of problem constraints. The speculation turns out to yield good results for small noise situations but degrades fast as the noise power increases
Keywords :
cameras; eigenvalues and eigenfunctions; image sequences; motion estimation; noise; optimisation; parameter estimation; singular value decomposition; SVD; camera motion parameter recovery; combination coefficients; constrained optimisation; displacement map; linear system matrix; motion equations; noise power; nonzero eigenvalue eigenvectors; optical flow measurements; perspective projection; problem constraints; singular value decomposition; solution vector; stationary environment; translation component; Cameras; Degradation; Eigenvalues and eigenfunctions; Equations; Layout; Linear systems; Matrix decomposition; Optical sensors; Singular value decomposition; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Image Processing, 1996. Proceedings., International Conference on
Conference_Location :
Lausanne
Print_ISBN :
0-7803-3259-8
Type :
conf
DOI :
10.1109/ICIP.1996.560860
Filename :
560860
Link To Document :
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