A new variational problem for accurate approximation of the distance from the boundary of a domain is proposed and studied. It is shown that the problem can be efficiently solved by the alternating direction method of multipliers. Links between this problem and p-Laplacian diffusion are established and studied. Advantages of the proposed distance function estimation method are demonstrated by numerical experiments.
|Number of pages||8|
|Journal||Computational Mathematics and Mathematical Physics|
|Publication status||Published - Dec 2019|
- distance function
- variational methods
ASJC Scopus subject areas
- Computational Mathematics