On the diffusion algorithm for density-equalizing maps with piecewise constant initial data

DOI10.1002/mma.2526zbMath1255.35080OpenAlexW2115679920MaRDI QIDQ2910828

Marta València, Joan Solà-Morales, Albert Avinyó

Publication date: 11 September 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2526

zbMATH Keywords

analytic solutionimage registrationcartogramssingular initial dataadvection processdiffusion-based algorithm

Mathematics Subject Classification ID

Diffusion (76R50) Initial-boundary value problems for second-order parabolic equations (35K20) Nonlinear first-order PDEs (35F20)

Related Items (1)

A singular initial value problem to construct density-equalizing maps

Cites Work

• The modeling of global epidemics: stochastic dynamics and predictability
• On a partial differential equation involving the Jacobian determinant
• An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization
• On maps with given Jacobians involving the heat equation
• Deterministic diffusion of particles
• On the Application of the Monge–Kantorovich Problem to Image Registration
• Nonuniform Coverage and Cartograms
• Diffusion-based method for producing density-equalizing maps

This page was built for publication: On the diffusion algorithm for density-equalizing maps with piecewise constant initial data