Equivalent image-covering and generalized digital lifting

This paper studies various properties of image-continuity in relation to uniform image-continuity and a pasting theorem, which can be used in image synthesis, image segmentation, and image weaving. Furthermore, we establish an equivalent image-covering and provide some condition to construct the generalized digital lifting of an equivalent image-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 image be a pointed image-covering map and let image be a pointed image-continuous map. Then, we can provide a condition to have a concerning pointed image-continuous map image such that image.