Equivalent (k(0), k(1))-covering and generalized digital lifting
This paper studies various properties of (k(0), k(1))-continuityin relation to uniform (k(0), k(1))-continuity and a pasting theorem, which can be used in image synthesis, image segmentation, and image weaving. Furthermore, we establish an equivalent (k(0), k(1))-coveringand provide some condition to construct the generalized digital lifting of an equivalent (k(0), k(1))-covering map which is used to calculate the digital fundamental group of a digital image and to classify digital images by a discrete Deck's transformation group. To be specific, let p : (E, e(0)) -> (B, b(0)) be a pointed (k(0), k(1))-covering map and let f : (X, x(0)) -> (B, b(0)) be a pointed (k(2), k(1))-continuous map. Then, we can provide a condition to have a concerningpointed (k(2), k(0))-continuous map (f) over tilde: (X, x(0)) -> (E, x(0)) such that p circle (f) over tilde = f. (c) 2007 Elsevier Inc. All rights reserved.
digital lifting uniform (k(0), k(1))-continuity digital image k-neighborhood digital continuity digital homeomorphism digital fundamenta group simply k-connected digital covering digital k-graph graph (k(0), k(1))-homomorphism graph (k(0), k(1))-isomorphism strongly local (k(0), k(1))-isomorphism digital topology