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Journal for Geometry and Graphics, Vol. 5, No. 2, pp. 111-119 (2001)
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The Effect of Knot Modifications on the Shape of B-spline curves

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Imre Juhaz, Miklos Hoffmann

Department of Descriptive Geometry, University of Miskolc,

H 3515, Miskolc-Egyetemvaros, Hungary

email: agtji@gold.uni-miskolc.hu, hof@ektf.hu

**Abstract:** This paper is devoted to the shape control of B-spline curves achieved by the modification of one of its knot values. At first those curves are described along which the points of a B-spline curve move under the modification of a knot value. Then we show that the one-parameter family of k-th order B-spline curves obtained by modifying a knot value has an envelope which is also a B-spline curve of order k-1.

**Keywords:** B-spline curves

**Classification (MSC2000):** 53A04; 68U05

**Full text of the article will be available in mid of 2003.**

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