Harmonic models of shape transformations in digital images andpatterns

摘要

A harmonic model of shape transformations is presented. In thismodel, harmonic functions are governed by the Laplace equation. Thismodel can convert all image or a pattern to another with arbitraryshapes. The transformation process is harmonic, without abruptness anddiscontinuity. This model can be used to generate and recognizehandwritten Roman letters and Chinese characters, fingerprints, andother types of digitized images and patterns. The algorithms of theharmonic models involve partial differential equations and theirnumerical solutions. Therefore, an intrinsic link between pattern imagesand numerical methods is presented