With the widespread use of GIS, multi-scale representation has become an important issue in the realm of spatial data handling. However, no book to date has systematically tackled the different aspects of this discipline. Emphasizing map generalization, Algorithmic Foundation of Multi-Scale Spatial Representation addresses the mathematical basis of

Introduction. Mathematical Background. Theoretical Background. Algorithms for Transformations of Point Features. Algorithms for Point-Reduction of Individual Line Features. Algorithms for Smoothing of Individual Line Features. Algorithms for Scale-Driven Generalization of Individual Line Features. Algorithms for Transformation of a Set of Line Features. Algorithms for Transformations of Individual Area Features. Algorithms for Transformations of a Set of Area Features. Algorithms for Displacement of Features. Algorithms for Transformations of Three-Dimensional Surfaces and Features. Epilogue.