self-affine maps were successfully used for edge detection, image segmentation, and contour extraction. they belong to the general category of patch-based methods. particularly, each self-affine map is defined by one pair of patches in the image domain. by minimizing the difference between these patches, the optimal translation vector of the self-affine map is obtained. almost all image process...

tio2 thin films and ag/tio2 nanoparticles were prepared by cvd and plasma bombardment method. xrd results showed the presence of ag nanoparticles in tio2 matrix. sem image confirmed formation of ag nanoparticles. xps analysis was utilized to study the chemical state of the ag/tio2 nanostructure. statistical surface analysis revealed that since there is a linear relation between logarithmic diag...

Let I = {φj}j=1 be an iterated function system (IFS) consisting of a family of contractive affine maps on Rd. Hutchinson [8] proved that there exists a unique compact set K = K(I), called the attractor of the IFS I, such that K = ⋃m j=1 φj(K). Moreover, for any given probability vector p = (p1, . . . , pm), i.e. pj > 0 for all j and ∑m j=1 pj = 1, there exists a unique compactly supported proba...