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.