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Issue No. 05 - September (1988 vol. 10)
ISSN: 0162-8828
pp: 707,708,709,710,711,712,713
The Darboux vector contains both the curvature and torsion of a three-dimensional (3-D) image as its components. Curvature measures how sharply a curve is turning while torsion measures the extent of its twist in 3-D space. Curvature and torsion completely define the shape of a 3-D curve. A scheme is presented that uses the length of this vector, also called the total curvature, for the segmentation of 3-D contours. A quintic B-spline is used in this formulation to obtain the total curvature for noisy data. Examples of nonnoisy and noisy data illustrate the merit of the scheme.<>
splines (mathematics), picture processing, curvature, 3D contour segmentation, picture processing, curvature, torsion, Darboux vector, quintic B-spline, Shape, Chebyshev approximation, Turning, Extraterrestrial measurements, Spline, Pattern recognition, Computer vision, Libraries, Pattern analysis, Machine intelligence

"A 3-D contour segmentation scheme based on curvature and torsion," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 10, no. , pp. 707,708,709,710,711,712,713, 1988.
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