|Title: Interval B-Spline Curve Fitting|
|Author(s): O. Ismail|
|Pages: 1-6||Paper ID:145306-9191-IJVIPNS-IJENS||Published: December, 2014|
Abstract: Computing a curve to approximate data points is a problem encountered frequently in many applications in computer graphics, computer vision, CAD/CAM, and image processing. In this paper the concept of interval B-spline curve fitting is introduced. The four fixed Kharitonov's polynomials (four fixed B-spline curves) associated with the set of given interval data points and the interval B-spline curve are obtained. Then the problem is converted into determining a set of fixed control points that generates a B-spline curve for a set of given four fixed Kharitonov's polynomials (four fixed B-spline curves) associated with the interval data points. The problem of choosing the parameter value u_l and the knot vector U is also discussed, and how their choice affects the shape and parameterization of the curve. Where an improper data parameterization may considerably compromise the quality and efficiency of approximation. Finally the interval control polygon is obtained from the calculated fixed control polygons. A numerical example is included in order to demonstrate the effectiveness of the proposed method.
|Keywords: Interval curve fitting, interval B-spline curve, computer graphics, image processing, CAGD.|
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