Homotopy-based computation of defocus blur and affine transform

Authors:
F. Deschênes;D. Ziou
Affiliations:
Département de mathématiques et d'informatique, Université de Sherbrooke;Département de mathématiques et d'informatique, Université de Sherbrooke
Venue:
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Year:
2003

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Abstract

This paper presents a homotopy-based algorithm for a simultaneous recovery of defocus blur and the affine transformation between two images of the same scene. One of the images (and its partial derivatives) is expressed as a function of the second images, the partial derivatives of the two images, the blur difference, the affine parameters and a continuous parameter derived from homotopy methods. All of these unknowns can thus be directly computed by resolving a system of equations. The proposed algorithm is tested using synthetic and real images. The results confirm that dense and accurate estimation can be obtained.