Manifold spline surface generation based on meromorphic quartic differentials

Fuwei Chen

doi:10.1016/j.cag.2026.104777

Manifold spline surface generation based on meromorphic quartic differentials

2026-10-12

0

PRE

AI

DOI：10.1016/j.cag.2026.104777

Original

Original request for help

Save

Abstract

En 中文

• We introduce a meromorphic-quartic-differential framework that places the input mesh, quadrilateral topology, and manifold spline in one global conformal parameter domain. • We decouple topology from geometry: a quadrilateral mesh with an Abel–Jacobi-compatible singularity divisor defines the spline topology, while the original triangular mesh constrains its geometry. • We use the shared conformal coordinates both for direct triangular-sample fitting and for parameterization-informed knot-interval configuration.

Keywords:

Meromorphic quartic differential Manifold spline surface

Global conformal parameterization

Quadrilateral mesh

Knot interval configuration

Manifold spline surface generation based on meromorphic quartic differentials

Abstract

Journal

Organization

Cited Papers