We present a method for the generation of higher-order tetrahedral meshes. In contrast to
previous methods, the curved tetrahedral elements are guaranteed to be free of …

We present a reliable method to generate planar meshes of nonlinear rational triangular
elements. The elements are guaranteed to be valid, ie defined by injective rational functions …

High-order mesh optimization has many goals, such as improving smoothness, reducing
approximation error, and improving mesh quality. The previous methods do not optimize …

We propose a simple yet effective method to interpolate high-order meshes. Given two
manifold high-order triangular (or tetrahedral) meshes with identical connectivity, our goal is …

Image triangulation methods, which decompose an image into a series of triangles, are
fundamental in artistic creation and image processing. This paper introduces a novel …

We propose a novel image triangulation method to reduce the complexity of image
triangulation under the color error‐bounded constraint and the triangle quality constraint …