Fairing Be´zier curves with constraints
Computer Aided Geometric Design
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Computer Aided Geometric Design
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Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Designing Bézier conic segments with monotone curvature
Computer Aided Geometric Design
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Image Processing Handbook, Fourth Edition
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SMA '97 Proceedings of the 1997 International Conference on Shape Modeling and Applications (SMA '97)
Target curvature driven fairing algorithm for planar cubic B-spline curves
Computer Aided Geometric Design
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CIMCA '05 Proceedings of the International Conference on Computational Intelligence for Modelling, Control and Automation and International Conference on Intelligent Agents, Web Technologies and Internet Commerce Vol-2 (CIMCA-IAWTIC'06) - Volume 02
WSEAS Transactions on Mathematics
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When designers begin a product design, they create their ideas and expand them. This process is performed on paper, and designers' hand-drawn lines are called sketches. If the designers' hand-drawn sketches can be realized as real curves, it would be effective in shortening the design period. We have developed a method to extract five degree Bézier curves based on a hand-drawn sketch. The basic techniques to detect curves based on a hand-drawn sketch are described. First, light intensity transformation, binarization of the hand-drawn sketch, and feature based erosion and dilation to smooth the edges of the binary sketch image are described. Then, regression line determination using the detected edges is by introducing the principal component analysis described. Using the determined line segments a five degree Bézier curve generation is described. A specified curvature driven shape modification algorithm is described to reconstruct a five degree Bézier curve. Examples of five degree fair curvature Bézier curves based on a sketch are given.