A 3-D contour segmentation scheme based on curvature and torsion
Kehtarnavaz, N.
deFigueiredo, R.J.P.
Dept. of Electr. Eng., Texas A&M Univ., College Station, TX;
This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Sep 1988
Volume: 10,
Issue: 5
On page(s): 707-713
ISSN: 0162-8828
References Cited: 13
CODEN: ITPIDJ
INSPEC Accession Number: 3310487
Digital Object Identifier: 10.1109/34.6780
Current Version Published: 2002-08-06
Abstract
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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