A versatile cubic-curved triangle mesh generator using subparametric transformation for FEM and image processing applications

Image processing applications are often affected by noise during the segmentation of curved edges. In this article, a versatile curved triangle mesh development method is proposed for finite element-based image processing applications using MATLAB. This approach first creates meshes using an open-source finite element mesh generator. The proposed technique then generates and visualizes cubic-order curved triangular elements using subparametric transformation. The resulting meshes can be used to solve a variety of problems using finite element analysis for image and video processing applications. The results of the presented work include a cubic-order curved triangular mesh using subparametric transformation, node coordinates, connectivity matrix, and border nodes for finite element implementations. The results obtained by the proposed mesh generator are verified to obtain the most accurate numerical results for an eigenvalue problem by FEM. It can be utilized to improve numerical results very well for various finite element analysis applications. This technology can be utilized in areas such as medical simulation, image processing, material engineering, video processing, computational materials science, optical flow estimation, computational electromagnetics, and so on.