Axiomatic quantification of image resolution

Author

Jiang, Ming ; Wang, Ge ; Ma, Xiao-ming

Author_Institution

Sch. of Math., Peking Univ., Beijing, China

Volume

2

fYear

2001

fDate

4-7 Nov. 2001

Firstpage

1697

Abstract

In this paper, we generalize the axiomatic system for quantification of image resolution, and prove that any resolution measure consistent with the generalized axiomatic system must be a homogeneous symmetric function of order 1/2 of the eigenvalues of the covariance matrix of the PSF. If the axiomatic system is augmented with an affine transformation axiom, the resolution measure is proved to be proportional to the squared root of the geometric means of the eigenvalues of the covariance matrix of the PSF.

Keywords

covariance matrices; eigenvalues and eigenfunctions; image resolution; medical image processing; optical transfer function; PSF; affine transformation axiom; axiomatic quantification; covariance matrix; eigenvalues; generalized axiomatic system; homogeneous symmetric function; image resolution; resolution measure; Cameras; Cities and towns; Covariance matrix; Eigenvalues and eigenfunctions; Image resolution; Mathematics; Optical imaging; Radiology; Spatial resolution; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 2001. Conference Record of the Thirty-Fifth Asilomar Conference on

Conference_Location

Pacific Grove, CA, USA

ISSN

1058-6393

Print_ISBN

0-7803-7147-X

Type

conf

DOI

10.1109/ACSSC.2001.987774

Filename

987774