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dc.contributor.authorBrivio, Pietro Alessandroen_US
dc.contributor.authorMarini, Danieleen_US
dc.date.accessioned2014-10-21T07:27:56Z
dc.date.available2014-10-21T07:27:56Z
dc.date.issued1993en_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttp://dx.doi.org/10.1111/1467-8659.1250297en_US
dc.description.abstractThis paper presents and discusses the results of a methodology for the construction of Digital Elevation Models (DEM), based on mathematical principles of fractal geometry. Classical approaches to DEM are founded on numerical methods of interpolation or approximation of data extracted from contour lines of standard topographic maps. Fractal geometry opens a new and innovative approach in which the irregularity, erraticity and self similarity of fractal structures mimics at best the typical behaviour of high mountain profiles. The adoption of fractal methods requires the identification of the fractal dimension D for a given data set. The determination of the fractal dimension D can be achieved applying some special mathematical method on finite set of samples. Different methods. for D estimation are presented. Once the fractal dimension is given, it is possible to reconstruct a surface relief using different fractal methods which interpolate the original set of elevation data. Our research has also investigated two different interpolation methods, fBm and IFS, both confirming that the fractal approach is very well suited for high relief terrain modeling. Photo realistic rendering of the computed DEM allows to appreciate the quality of the reconstruction through visual inspection.en_US
dc.publisherBlackwell Science Ltd and the Eurographics Associationen_US
dc.titleA Fractal Method for Digital Elevation Model Construction and its Application to a Mountain Regionen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume12en_US
dc.description.number5en_US
dc.identifier.doi10.1111/1467-8659.1250297en_US
dc.identifier.pages297-309en_US


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