To detect target images with equal output correlation peaks, the minimum av
erage correlation energy nonzero order joint transform correlator (MACE-NOJ
TC) is introduced. The design was carried out using the Lagrange multiplier
s technique to minimize the average correlation energy for ail training set
images while constraining the correlation peak value to a user-specified c
onstant. An ideal reference function for the MACE-NOJTC is derived. Correla
tion results are presented. It is observed that the MACE-NOJTC is invariant
to scale variations and rotation in the target image. (C) 2000 Published b
y Elsevier Science B.V. All rights reserved.