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A 3-D contour segmentation scheme based on curvature and torsion
September 1988 (vol. 10 no. 5)
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.<>

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Index Terms:
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," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 10, no. 5, pp. 707,708,709,710,711,712,713, Sept. 1988, doi:10.1109/34.6780
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