Lo ally Adjustable Interpolation for Meshes of Arbitrary Topology

Locally Adjustable Interpolation for Meshes of Arbitrary Topology

Here is the abstract CR Categories: I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling curve, surface, solid and object representations;

A Colour Interpolation Scheme for Topologically Unrestricted Gradient Meshes

Gradient meshes are a 2D vector graphics primitive where colour is interpolated between mesh vertices. The current implementations of gradient meshes are restricted to rectangular mesh topology. Our new interpolation method relaxes this restriction by supporting arbitrary manifold topology of the input gradient mesh. Our method is based on the Catmull-Clark subdivision scheme, which is well-kno...

A new ternary interpolatory subdivision scheme for polyhedral meshes with arbitrary topology

C1 bicubic splines over general T-meshes

The present authors have introduced polynomial splines over T-meshes (PHT-splines) and provided the theories and applications for PHT-splines over hierarchical T-meshes. This paper generalizes PHT-splines to arbitrary topology over general T-meshes with any structures. The general PHT-spline surfaces can be constructed through an unified scheme to interpolate the local geometric information at ...

On G stitched bi-cubic Bézier patches with arbitrary topology

Lower bounds on the generation of smooth bi-cubic surfaces imply that geometrically smooth (G) constructions need to satisfy conditions on the connectivity and layout. In particular, quadrilateral meshes of arbitrary topology can not in general be covered with G-connected Bézier patches of bi-degree 3 using the layout proposed in [ASC17]. This paper analyzes whether the pre-refinement of the in...