Rapid Generation of C2 Continuous Blending Surfaces
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
Interactive shape design using volumetric implicit PDEs
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
PDE surface generation with combined closed and non-closed form solutions
Journal of Computer Science and Technology - Special issue on computer graphics and computer-aided design
Analytical C2 smooth blending surfaces
Future Generation Computer Systems - Special issue: Computer graphics and geometric modeling
An analytic pseudo-spectral method to generate a regular 4-sided PDE surface patch
Computer Aided Geometric Design
A shape design system using volumetric implicit PDEs
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Free-Form Geometric Modeling by Integrating Parametric and Implicit PDEs
IEEE Transactions on Visualization and Computer Graphics
Computer-Aided Design
An analytic pseudo-spectral method to generate a regular 4-sided PDE surface patch
Computer Aided Geometric Design
Analytical C2 smooth blending surfaces
Future Generation Computer Systems
Technical Section: Interactive free-form level-set surface-editing operators
Computers and Graphics
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Partial differential equations (PDEs) are powerful tools for the generation of free-form surfaces. In this paper, techniques of surface representation using PDEs of different orders are investigated. In order to investigate the real-time performance and capacity of surface generation based on the PDE method, the forms of three types of partial differential equations are put forward, which are the second, mixed and fourth order PDEs. The closed form solutions of these PEDs are derived. The advantages and disadvantages of each of them are discussed. A number of examples are given to demonstrate the use and effectiveness of the techniques.