Now showing items 4-5 of 5

  • On maps with given jacobians involving the heat equation 

    Avinyó Andrés, Albert; Solà-Morales Rubió, Joan de; València Guitart, Marta (2000)
    Article
    Open Access
    In this paper we presennt and analyze two new algorithms to construct a smooth diffeomorphism of a domain with prescribed jacobian function. The first one is free from any restriction on the boundary, while the second ...
  • On the diffusion algorithm for density-equalizing maps with piecewise constant initial data 

    Avinyó Andrés, Albert; Solà-Morales Rubió, Joan de; València Guitart, Marta (2012-07-15)
    Article
    Restricted access - publisher's policy
    We mathematically analyze the diffusion-based algorithm to produce maps with a given Jacobian, introduced independently by M. T. Gastner and M. E. J. Newman (2004) and ourselves (2003), but in particular cases where the ...