Computational-geometric methods for polygonal approximations of a curve
Computer Vision, Graphics, and Image Processing
Knot removal for parametric B-spline curves and surfaces
Computer Aided Geometric Design
The Douglas-Peucker algorithm for line simplification: re-evaluation through visualization
Computer Graphics Forum
A knot removal strategy for scattered data in R2
Mathematical methods in computer aided geometric design
Knot removal for B-spline curves
Computer Aided Geometric Design
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Approximation with Active B-Spline Curves and Surfaces
PG '02 Proceedings of the 10th Pacific Conference on Computer Graphics and Applications
Controlled Line Smoothing by Snakes
Geoinformatica
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
Ontology-driven map generalization
Journal of Visual Languages and Computing
B-spline snakes: a flexible tool for parametric contour detection
IEEE Transactions on Image Processing
International Journal of Geographical Information Science
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The automation of cartographic map production is still an important research field in Geographical Information Systems (GIS). With the increasing development of monitoring and decision-aid systems either on computer networks or wireless networks, efficient methods are needed to visualise geographical data while respecting some application constraints (accuracy, legibility, security, etc.). This paper introduces a B-spline snake model to deal with the current operators involved in the cartographic generalisation process of lines. This model enables us to perform those operators with a continuous approach. In order to avoid local conflicts such as intersections or self-intersections, the consistency of the lines is checked and discrete operations such as segment removal are performed during the process. We apply the method to map production in the highly constrained domain of maritime navigation systems. Experimental results of marine chart generalisation yield some discussions about generalisation robustness and quality.