On two-dimensional shape-preserving approximation
arXiv:1010.5448h-index: 10
Originality Incremental advance
AI Analysis
It solves a fundamental question in approximation theory for two-dimensional mappings, with potential implications for shape-preserving applications.
The paper proves that any continuous mapping from a two-dimensional domain to the plane can be uniformly approximated by smooth mappings with nonnegative Jacobian, addressing a shape-preserving approximation problem.
In this paper we investigate a problem of approximation of continuous mappings by smooth mappings with nonnegative Jacobian.