Depth from defocus using the hermite transform

Author

Zion, D. ; Wang, S. ; Vaillancourt, J.

Author_Institution

Dept. de Math. et d´´Inf., Sherbrooke Univ., Que., Canada

Volume

2

fYear

1998

fDate

4-7 Oct 1998

Firstpage

958

Abstract

This paper presents an algorithm for a dense computation of the difference in blur between two images. The two images are acquired by varying the intrinsic parameters of the camera. The image formation system is assumed to be passive. The algorithm is based on a local image decomposition technique using the Hermite polynomial basis. We show that any coefficient of the Hermite polynomial computed using the unfocused image is a function of the partial derivatives of the focused image and the blur difference. Hence, the blur difference can be computed by resolving a system of equations. An algorithm is presented for estimation of the blur in 1D and 2D images. The algorithm is tested using synthetic and real images. The results obtained are very encouraging

Keywords

cameras; image processing; parameter estimation; polynomials; transforms; 1D images; 2D images; Hermite polynomial basis; algorithm; blur difference; blur estimation; camera parameters; coefficient; dense computation; equations; focused image; hermite transform; image blur; image depth; local image decomposition; partial derivatives; passive image formation system; real image; synthetic image; unfocused image; Cameras; Difference equations; Focusing; Image decomposition; Image generation; Layout; Lenses; Pixel; Polynomials; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 1998. ICIP 98. Proceedings. 1998 International Conference on

Conference_Location

Chicago, IL

Print_ISBN

0-8186-8821-1

Type

conf

DOI

10.1109/ICIP.1998.723713

Filename

723713