Rapid Generation of C 2 Continuous Blending Surfaces [chapter]

Jian J. Zhang, Lihua You
2002 Lecture Notes in Computer Science  
Most surface-blending methods are able to blend surfaces with tangent continuity. However, curvature continuity has become increasingly important in geometric modelling and its applications, such as computer animation, computer-aided design and virtual reality. In this paper, we present a method which is able to achieve 2 C continuity based on the use of partial differential equations (PDE). A sixth order partial differential equation with one vector-valued parameter is introduced to produce
more » ... h blending surfaces. Since computational efficiency is crucial for interactive computer graphics applications, we have developed a unified closed form (analytical) method for the resolution of this sixth order PDE. Therefore blending surfaces of up to 2 C smoothness can be generated in real time.
doi:10.1007/3-540-46080-2_10 fatcat:5xozlocfqvbgnago2ckp3x6hva