@inproceedings{9a18f9c09e75426b849cd195f3446127,

title = "Construction of Monotone Extensions to Boundary Functions",

abstract = "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 B{\'e}zier curve. As the level changes, the corresponding control points shift along trajectories which contain appropriate kinks.",

author = "Cornelis Traas",

year = "1992",

doi = "10.1007/978-3-0348-8619-2_20",

language = "English",

isbn = "978-3-0348-9702-0",

volume = "9",

series = "International Series of Numerical Mathematics",

publisher = "Springer",

pages = "347--357",

editor = "Dietrich Braess and Schumaker, {Larry L.}",

booktitle = "Numerical Methods in Approximation Theory",

note = "Conference on Numerical Methods in Approximation Theory 1991 ; Conference date: 24-11-1991 Through 30-11-1991",

}