Mesh Ratio

Mesh ratio, a key concept in computational geometry, quantifies the uniformity of point distributions within a mesh, impacting the accuracy and efficiency of various 3D modeling and analysis tasks. Current research focuses on improving mesh generation and manipulation techniques, employing diverse approaches such as generative models (e.g., diffusion models, neural coordinate fields), mesh convolutional neural networks, and differentiable mesh representations to achieve high-fidelity results and efficient computation. These advancements are crucial for applications ranging from medical imaging (e.g., cardiac modeling) and virtual reality to robotics and computer graphics, enabling more accurate and realistic 3D representations and simulations. The development of robust and efficient meshing algorithms is driving progress across numerous scientific disciplines and technological fields.