Title :
Axiomatic quantification of image resolution
Author :
Jiang, Ming ; Wang, Ge ; Ma, Xiao-ming
Author_Institution :
Sch. of Math., Peking Univ., Beijing, China
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;
Conference_Titel :
Signals, Systems and Computers, 2001. Conference Record of the Thirty-Fifth Asilomar Conference on
Conference_Location :
Pacific Grove, CA, USA
Print_ISBN :
0-7803-7147-X
DOI :
10.1109/ACSSC.2001.987774
