In this paper, we propose a novel meshfree Generalized Finite Difference Method (GFDM)
approach to discretize PDEs defined on manifolds. Derivative approximations for the same …

We propose a particle-based method to simulate thin-film fluid that jointly facilitates
aggressive surface deformation and vigorous tangential flows. We build our dynamics model …

We propose a new Eulerian-Lagrangian approach to simulate the various surface tension
phenomena characterized by volume, thin sheets, thin filaments, and points using Moving …

We propose a novel framework to solve PDEs on moving manifolds, where the evolving
surface is represented by a moving point cloud. This has the advantage of avoiding the need …

The discrete Laplacian operator holds a crucial role in 3D geometry processing, yet it is still
challenging to define it on point clouds. Previous works mainly focused on constructing a …

Top-k pairs queries have received significant attention by the research community. k-closest
pairs queries, k-furthest pairs queries and their variants are among the most well studied …

The spatiotemporal organization of membrane-associated molecules is central to the
regulation of cellular signals. Powerful new microscopy techniques enable the three …

We formulate a new family of high order on-surface radiation conditions to approximate the
outgoing solution to the Helmholtz equation in exterior domains. Motivated by the pseudo …

This paper presents a novel method for mesh color sharpening using the discrete Laplace–
Beltrami operator, which is an approximation of the second order derivatives on irregular 3D …

The Laplace operator plays a fundamental role in geometry processing. Several discrete
versions have been proposed for 3D meshes and point clouds, among others. We define …