Construction of Monotone Extensions to Boundary Functions
Cornelis Traas (Speaker)
Activity: Talk or presentation › Oral presentation
Description
Suppose we are given monotonically increasing, smooth, univariate functions along the edges of the unit square. The problem is to construct an extension F(x, y) to the whole square which is monotone and of class C 1. A nonlinear method is presented which defines F in terms of a set of level lines, each of which is represented as a cubic Bézier curve. As the level changes, the corresponding control points shift along trajectories which contain appropriate kinks.
Period
25 Nov 1991
Event title
Conference on Numerical Methods in Approximation Theory 1991
Event type
Conference
Location
Oberwolfach, Germany, Baden-WürttembergShow on map