Linear PDE Osmotic Flow for 3D Surfaces

We present a proof-of-concept study demonstrating the application of the linear osmotic flow to unstructured domains in R3, such as irregular meshes. This study aims to extend the osmotic filter to surfaces, thereby simplifying some geometry processing tasks, such as surface inpainting and completion (cloning), that typically require costly and complex algorithms. This will include two new challenges: the numerical solution of the drift-diffusion osmotic model on meshes, and the use of surface geometric descriptors, which play the role of reference function for the osmotic flow.