%0 Journal Article %T Anisotropic Mesh Adaptation for Image Representation %A Xianping Li %J Computer Science %D 2014 %I arXiv %X Triangular meshes have gained much interest in image representation and have been widely used in image processing. This paper introduces a framework of anisotropic mesh adaptation (AMA) methods to image representation and proposes a GPRAMA method that is based on AMA and greedy-point removal (GPR) scheme. Different than many other methods that triangulate sample points to form the mesh, the AMA methods start directly with a triangular mesh and then adapt the mesh based on a user-defined metric tensor to represent the image. The AMA methods have clear mathematical framework and provides flexibility for both image representation and image reconstruction. A mesh patching technique is developed for the implementation of the GPRAMA method, which leads to an improved version of the popular GPRFS-ED method. The GPRAMA method can start with less amount of initial points but achieve better quality than the GPRFS-ED method. %U http://arxiv.org/abs/1402.4893v3