p-Laplace diffusion for distance function estimation, optimal transport approximation, and image enhancement

2018 ◽  
Vol 67 ◽  
pp. 1-20 ◽  
Author(s):  
Pierre-Alain Fayolle ◽  
Alexander G. Belyaev
Keyword(s):  
Image Enhancement ◽  
Distance Function ◽  
Optimal Transport ◽  
Function Estimation ◽  
Transport Approximation ◽  
Laplace Diffusion

scholarly journals Optimal Transport Approximation of 2-Dimensional Measures

2019 ◽  
Vol 12 (2) ◽  
pp. 762-787 ◽  
Author(s):  
Léo Lebrat ◽  
Frédéric de Gournay ◽  
Jonas Kahn ◽  
Pierre Weiss
Keyword(s):  
Optimal Transport ◽  
Transport Approximation

scholarly journals On the distance function approach to color image enhancement

2004 ◽  
Vol 139 (1-3) ◽  
pp. 283-305 ◽  
Author(s):  
M Szczepanski ◽  
B Smolka ◽  
K.N Plataniotis ◽  
A.N Venetsanopoulos
Keyword(s):  
Image Enhancement ◽  
Distance Function ◽  
Color Image ◽  
Function Approach ◽  
Color Image Enhancement

Vector Quantization for Arbitrary Distance Function Estimation

1997 ◽  
Vol 9 (4) ◽  
pp. 439-451 ◽  
Author(s):  
İ. Kuban Altınel ◽  
John Oommen ◽  
Necati Aras
Keyword(s):  
Vector Quantization ◽  
Distance Function ◽  
Function Estimation

scholarly journals An ADMM-based scheme for distance function approximation

2019 ◽  
Vol 84 (3) ◽  
pp. 983-996
Author(s):  
Alexander Belyaev ◽  
Pierre-Alain Fayolle
Keyword(s):  
Variational Problem ◽  
Distance Function ◽  
Function Approximation ◽  
Numerical Experiments ◽  
Domain Boundary ◽  
Estimation Method ◽  
Surface Curvature ◽  
Binary Image ◽  
Function Estimation ◽  
Curvature Estimation

Abstract A novel variational problem for approximating the distance function (to a domain boundary) is proposed. It is shown that this problem can be efficiently solved by ADMM. A review of several other variational and PDE-based methods for distance function estimation is presented. Advantages of the proposed distance function estimation method are demonstrated by numerical experiments. Applications of the method to the problems of surface curvature estimation and computing the skeleton of a binary image are shown.

Sign in / Sign up

Export Citation Format

Share Document