Dynamic PDE Surfaces with Flexible and General Geometric Constraints

PDE surfaces, whose behavior is governed by Partial Differential Equations (PDEs), have demonstrated many modeling advantages in surface blending, free-form surface modeling, and surface’s aesthetic or functional specifications. Although PDE surfaces can potentially unify geometric attributes and functional constraints for surface design, current PDE-based techniques exhibit certain difficulties such as the restrained topological structure of modeled objects and the lack of interactive editing functionalities. We propose an integrated approach and develop a set of algorithms that augment conventional PDE surfaces with material properties and dynamic behavior. In this paper, we incorporate PDE surfaces into the powerful physics-based framework, aiming to realize the full potential of the PDE methodology. We have implemented a prototype software environment that can offer users a wide array of PDE surfaces with flexible topology (through trimming and joining operations) as well as ...

• Type: Conference
• Year: 2000
• Where: PG
• Authors: Haixia Du, Hong Qin
• Keywords: Computer Graphics, Conventional Pde Surfaces, Entire Pde Surface, Pde Surface, PG 2000