Surface design with minimum energy networks
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
Overlap patches: a new scheme for interpolating curve networks with n-sided regions
Computer Aided Geometric Design
2-D shape blending: an intrinsic solution to the vertex path problem
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Joining smooth patches around a vertex to form a Ck surface
Computer Aided Geometric Design
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
A Practical Implementation of Vertex Blend Surfaces using an n-Sided Patch
Proceedings of the 6th IMA Conference on the Mathematics of Surfaces
Best Fit Surface Curvature at Vertices of Topologically Irregular Curve Networks
Proceedings of the 6th IMA Conference on the Mathematics of Surfaces
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
Computation of rotation minimizing frames
ACM Transactions on Graphics (TOG)
Some negative results in N sided patches
Computer-Aided Design
Transfinite surface interpolation over irregular n-sided domains
Computer-Aided Design
| Hi-index | 0.00 |
There are various techniques to design complex free-form shapes with general topology. In contrast to the approaches based on trimmed surfaces and control polyhedra, in curve network-based design feature curves can be directly created and edited in 3D. Multi-sided patches interpolate this curve network with slopes given by associated tangent ribbons. The patches are smoothly connected and yield a natural and predictable surface model. This paper focuses on special design techniques to adjust the interior of transfinite patches when further shape control is needed. While the boundary constraints are retained, additional vertices, curves and even interior control surfaces are supplemented to gain more design freedom. The main idea is to apply different distance-based blending functions with special parameterizations over non-regular, n-sided domains. This concept can be naturally extended to create one- and two-sided patches as well. Shape variations will be demonstrated by a few simple examples.