Cubic precision Clough-Tocher interpolation

Computer Aided Geometric Design, Elsevier, Vol 16, pp.85-55, 1999

MESHING
RESEARCH
CORNER

Abstract
The standard Clough-Tocher split-domain scheme constructs a surface element with quadratic precision. In this paper, I will look at methods for improving the degrees of freedom in Clough- Tocher schemes. In particular, I will discuss modifications to the cross-boundary construction that improve the interpolant from quadratic precision to cubic precision.