Geometric Modeling

Geometric modeling focuses on mathematically representing and manipulating 3D shapes and surfaces, aiming for accurate and efficient scene reconstruction and manipulation. Current research emphasizes developing improved model architectures, such as Gaussian splatting with per-primitive texturing for decoupled appearance and geometry, and employing geometric mechanics and data-driven approaches for modeling complex systems like soft robots. These advancements are crucial for applications ranging from computer-aided surgery and robotics to virtual and augmented reality, driving progress in fields like computer vision, computer graphics, and engineering.