Abstract
A novel approach has been developed, implemented and tested to approximate, or to map, large heterogeneous surfaces with predefined accuracy. The methodology is based on tiling, the hierarchical decomposition of regular grid tessellations. The quadtree-construction is guided by a measure of local homogeneity and the predefined number of leaves. A modified Kullback-divergence is applied for the characterization of goodness of approximation. The procedure is aimed to find the quadtree-represented map of limited leaf number which is the most similar to a given image in terms of divergence. Various statistical and computational advantages are demonstrated within the framework of spatial data processing and error handling in geographic analysis. The procedure is illustrated by an environmental soil mapping project based on high-resolution satellite imagery of a salt-affected rangeland in Hortobágy, NE-Hungary.
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© 1993 Springer-Verlag Berlin Heidelberg
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Kertész, M., Kummert, Á., Csillag, F. (1993). From pyramids to quadtrees: Approximation of heterogeneous surfaces by fixing complexity. In: Chetverikov, D., Kropatsch, W.G. (eds) Computer Analysis of Images and Patterns. CAIP 1993. Lecture Notes in Computer Science, vol 719. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57233-3_6
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DOI: https://doi.org/10.1007/3-540-57233-3_6
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