Cubicoids: modeling and visualization (Q1803683)

The authors develop a new implicit representation of free-form surfaces. The core of the approach is a scheme for constructing tangent plane continuous surfaces passing through an arbitrary set of points given in terms of a piecewise triangular interpolant of the points. In contrast to an earlier scheme based on quadric patches it requires a significantly less complicated patch structure, is completely local, and involves a robust default choice for shape parameters.