Curve and surface fitting with splines
Curve and surface fitting with splines
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
A web based system to capture outlines of Arabic fonts
Information Sciences—Informatics and Computer Science: An International Journal - Internet computing
Automatic Knot Placement by a Genetic Algorithm for Data Fitting with a Spline
SMI '99 Proceedings of the International Conference on Shape Modeling and Applications
An Aesthetic Curve in the Field of Industrial Design
VL '99 Proceedings of the IEEE Symposium on Visual Languages
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Generally, in the field of industrial design, measurement data of a clay model are faired, and its three dimensional model is made in CAD. However, it is a problem that this fairing work take a long time and require a great deal of labor. We propose an automatic fairing system of a curve for the application to reverse engineering technology. The system is constructed by the following five steps. 1) Key-line data are extracted from a clay model by a 3D-digitizer. 2) The extracted key-line data are approximated by a spline with a genetic algorithm. 3) The spline curve (key-line) is divided into curves of monotone curvature. 4) "Characteristic" of the curve is analyzed for each curve of monotone curvature. 5) Each curve of monotone curvature is substituted by a visual language based on the result of the analysis mentioned above, and each key-line is reconstructed by the visual language. By this system, we can easily obtain an aesthetic curve intended by a designer in a short time.