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A singular initial value problem to construct density-equalizing maps

Autor
Avinyó, A.; Sola-morales, J.; Valencia, M.
Tipus d'activitat
Document cientificotècnic
Data
2011-05
Repositori
http://hdl.handle.net/2117/15276 Obrir en finestra nova
Resum
The diffusion-based algorithm to produce density-equalizing maps interprets diffusion as an advection process. This algorithm uses the dynamics of a flow that is defined by an initial value problem that turns out to be very singular at the initial time. The singularities appear when the initial density has line or angle discontinuities, which is always the case, for example, in area cartogram maps. This singular initial value problem is analyzed mathematically in this paper and the conclusion is...
Citació
Avinyó, A.; De Solà-Morales, J.; València, M. "A singular initial value problem to construct density-equalizing maps". 2011.
Grup de recerca
EDP - Equacions en Derivades Parcials i Aplicacions

Participants

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