Appendix

Functions:

AutoCorr.m Calculate 1-D autocorrelation function
AutoCorr2.m Calculate 2-D autocorrelation function
TriCorr.m Calculate 1-D triple correlation function
TriCorr2.m Calculate 2-D triple correlation function
generateTexture.m Generate odd, even or coin-flip texture images
dipole.m Calculate dipole histogram
reconstr.m Reconstruct image from its dipole histogram
reconstrHalf.m Reconstruct image from its half dipole histogram

Programs:
- triCorrUnique.m Verify the triple correlation uniqueness theorem
- showEnsembleTriCorr2.m Compare the ensemble and deterministic third-order statistics of odd and even texture images
- showDipoleReconstr.m Use the two reconstruction functions to reconstruct the images from their dipole histogram.
- showTexturePairs.m Show the 50x50 odd-even, odd-coin and even-coin texture image pairs.
- showCounter1D.m Show the 1-D counter example to Julesz's Conjecture
- showCounter1D.m Show the 2-D counter exam ple to Julesz's Conjecture