Uniqueness of the Gaussian Kernel for Scale-Space Filtering
IEEE Transactions on Pattern Analysis and Machine Intelligence
B-Spline curve smoothing under position constraints for line generalisation
GIS '06 Proceedings of the 14th annual ACM international symposium on Advances in geographic information systems
Smoothing a Network of Planar Polygonal Lines Obtained with Vectorization
Graphics Recognition. Recent Advances and New Opportunities
Cartographic generalisation of lines based on a B-spline snake model
International Journal of Geographical Information Science
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A major focus of research in recent years has been the development of algorithms for automated line smoothing. However, combination of the algorithms with other generalization operators is a challenging problem. In this research a key aim was to extend a snakes optimization approach, allowing displacement of lines, to also be used for line smoothing. Furthermore, automated selection of control parameters is important for fully automated solutions. An existing approach based on line segmentation was used to control the selection of smoothing parameters dependent on object characteristics. Additionally a new typification routine is presented, which uses the same preprocessed analysis for the segmentation of lines to find suitable candidates from curve bends. The typification is realized by deleting undersized bends and emphasizing the remaining curve bends. The main results of this research are two new algorithms for line generalization, where the importance of the line smoothing algorithm lies in the usage of a optimization approach which can also be used for line displacement.