MAN page from RedHat Other XITE-3.3-3.i386.rpm

ZERNIKE

Section: User Commands (1)
Updated: 16 Mar 1998
Index

NAME

zernike - zernike moment image of a gray scaleor binary image

SYNTAX

zernike [-n <n>] [-r] [-t <title>] <inimage> <outimage>

DESCRIPTION

The Zernike moment of order nand repetition mofan image f(x,y) is defined as follows:
n+1 *
A(n,m) = ---- Sum Sum f(x,y)[V(n,m, x,y)]
pi x y

where x^2+y^2 <= 1

The image V(n,m, x,y) is the Zernike basis images oforder nand repetition m.These basis images arecomplex and orthogonal. The Zernike moments areessentially the projections of the input image ontothese basis images.

The original image can be reconstructed from theZernike moments. The N-th order approximation is givenby
  ^         N
  f(x,y) = Sum Sum A(n,m) V(n,m, x,y)
           n=0  m

The contribution or information content of the n-thorder moments is

I(x,y, n) = Sum A(n,m) V(n,m, x,y)
m

RESTRICTIONS

inimagemust be single-band with pixel type unsigned byte.

OPTIONS

-n n

Use moment order n.Default 0.

-r

Reconstruct image from moments. Default: Compute the absolutevalue of I(x,y, n).

-t title

Use titlefor outimage.

REFERENCES

[1]

A. Khotanzad and Y.H. Hong"Rotation invariant image recognition using featuresselected via a systematic method",Pattern Recognition, vol.23, no.10, pp.1089-1101, 1990.

[2]

Thomas H. Reiss"Recognizing Planar Objects Using Invariant Image Features",Lecture Notes in Computer Science, volume 676, pp. 17-20,Springer-Verlag, 1993.

RETURN VALUE

0 : OK

FILES

xite/src/zernike/zernike.c

AUTHOR

Řivind Due Trier, Ifi, UiO.

This document was created byman2html,using the manual pages.