Implicitizing rational surfaces without base points by moving planes and moving quadrics
- A tensor product rational surface of bidegree ( m , n ) without base points can always be implicitized by moving quadrics together with moving planes.
It was proven by Cox, Goldman and Zhang that a tensor product rational surface without base points can be implicitized by moving quadrics whenever the rational surface doesn't contain low degree moving planes following it. However, ...
The space of C 1-smooth isogeometric spline functions on trilinearly parameterized volumetric two-patch domains
- Investigation of the C 1-smooth space of trilinearly parameterized volumetric two-patch domains.
We study the C 1-smooth isogeometric spline space over a specific class of unstructured hexahedral meshes, namely over the class of trilinearly parameterized volumetric two-patch domains. Recently, the structure of this space was ...
Consistent segment-wise matching with multi-layer graphs
Segment-wise matching is an important research problem that supports higher-level understanding of shapes in geometry processing. Many existing segment-wise matching techniques assume perfect input segmentation, and would suffer from ...
A fast numerical solver for local barycentric coordinates
The local barycentric coordinates (LBC), proposed in Zhang et al. (2014), demonstrate good locality and can be used for local control on function value interpolation and shape deformation. However, it has no closed-form expression and ...
