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On the diffusion algorithm for density-equalizing maps with piecewise constant initial data
dc.contributor.author | Avinyó Andrés, Albert |
dc.contributor.author | Solà-Morales Rubió, Joan de |
dc.contributor.author | València Guitart, Marta |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2012-10-09T11:15:43Z |
dc.date.created | 2012-07-15 |
dc.date.issued | 2012-07-15 |
dc.identifier.citation | Avinyó, A.; De Solà-Morales, J.; València, M. On the diffusion algorithm for density-equalizing maps with piecewise constant initial data. "Mathematical methods in the applied sciences", 15 Juliol 2012, vol. 35, núm. 10, p. 1234-1240. |
dc.identifier.issn | 0170-4214 |
dc.identifier.uri | http://hdl.handle.net/2117/16684 |
dc.description.abstract | 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 initial density has line or angle discontinuities in the plane. In this situation, the conclusion reinforces the conjecture that the algorithm is always well-posed, in accordance with its extensive numerical use in some areas of applied sciences (cartograms, sensor networks, computational grids, or image registration). |
dc.format.extent | 7 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Flow maps |
dc.subject.other | advection process |
dc.subject.other | analytic solution |
dc.subject.other | cartograms |
dc.subject.other | density-equalizing map |
dc.subject.other | diffusion-based algorithm |
dc.subject.other | singular initial data |
dc.title | On the diffusion algorithm for density-equalizing maps with piecewise constant initial data |
dc.type | Article |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.identifier.doi | 10.1002/mma.2526 |
dc.description.peerreviewed | Peer Reviewed |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 10681385 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Avinyó, A.; De Solà-Morales, J.; València, M. |
local.citation.publicationName | Mathematical methods in the applied sciences |
local.citation.volume | 35 |
local.citation.number | 10 |
local.citation.startingPage | 1234 |
local.citation.endingPage | 1240 |
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