Symmetry and Bivariate Splines

Year: 2012 Authors: Tatyana Sorokina

Core claim

Symmetric partitions tend to yield higher-dimensional spline spaces than asymmetric ones for the spline families studied.

Topics

bivariate splines, symmetry, dimension of spline spaces, planar tessellations

Domains

multivariate spline theory, polynomial spaces, triangulations, dimension formulas, tiling patterns, geometric design, computer-aided geometric design

Methods

theorem-based analysis, dimension comparison, case study of partitions, proof by contradiction

Media

planar tessellations, triangular and quadrilateral partitions, Figure 1-5 diagrams

Source status

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