Discrete techniques for computer transformations of digital images and patterns

摘要

Images and patterns through a cycle conversion T−1T are discussed and facilitated by the combined algorithms, where the transformation is T:(ξ,η)→(x,y) with the linear or nonlinear functions x = x(ξ,η) and y = y(ξ,η). A new Area Method is presented for images through T and T−1T of linear transformations, and three combinations of the Splitting-Shooting Method and the Splitting-Integrating Method are proposed for images through T−1T of linear and nonlinear transformations. Furthermore, both error analysis and graphical experiments given prove the importance of those combinations to computer vision, image processing, graphs and pattern recognition.