We present several Hermite-type interpolation methods for rational cubics. In case the input data come from a circular arc, the rational cubic will reproduce it.
Both the 4-point and the uniform cubic B-spline subdivisions double the number of vertices of a closed-loop polygon k P and produce sequences of vertices fj and bj respectively. W...
In many industries, products are constructed by assembled surface patches in 3, where each patch is expected to have an isometric map to a corresponding region in 2. The widely in...
In this paper, we propose a complete model handling the physical simulation of deformable 1D objects. We formulate continuous expressions for stretching, bending and twisting ener...
Adrien Theetten, Laurent Grisoni, Claude Andriot, ...
We present several algorithms for self-intersection detection, and possible elimination, in freeform planar curves and surfaces. Both local and global self-intersections are elimi...
Detecting approximate symmetries of parts of a model is important when attempting to determine the geometric design intent of approximate boundary-representation (B-rep) solid mod...
When designing curves on surfaces the need arises to approximate a given noisy target shape by a smooth fitting shape. We discuss the problem of fitting a B-spline curve to a poin...
By simultaneously considering evolution processes for parametric spline curves and implicitly defined curves, we formulate the framework of dual evolution. This allows us to combin...