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653
DEGREE REDUCTION OF B{SPLINE CURVES
"... Abstract. An algorithmic approach to degree reduction of B{spline curves is presented. The new algorithms are based on the blossoming process and its matrix representation. The degree reduction of B{ spline curves are obtained by the generalized least square method. The computations are carried out ..."
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Abstract. An algorithmic approach to degree reduction of B{spline curves is presented. The new algorithms are based on the blossoming process and its matrix representation. The degree reduction of B{ spline curves are obtained by the generalized least square method. The computations are carried out
Degree reduction of Bspline curves
, 2001
"... In this paper, we propose the generalized B divided difference, with which the (k − 1)th derivative of Bspline curves of order k can be obtained directly without the need to compute the first (k − 2) derivatives as before. Based on the generalized B divided difference, the necessary and sufficient ..."
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Cited by 1 (0 self)
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In this paper, we propose the generalized B divided difference, with which the (k − 1)th derivative of Bspline curves of order k can be obtained directly without the need to compute the first (k − 2) derivatives as before. Based on the generalized B divided difference, the necessary and sufficient
Interval BSpline Curve Fitting
, 2014
"... 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 Bspline curve fitting is introduced. The four fixed Kharitonov's polynomials (four ..."
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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 Bspline curve fitting is introduced. The four fixed Kharitonov's polynomials
Knot Removal for BSpline Curves
, 1994
"... In the present paper the problem of removing one inner knot from the knot sequence of a Bspline curve is discussed. Doing so, a local (geometric) construction of the new control points from the given ones is first introduced. Then the degrees of freedom appearing in this general construction are de ..."
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Cited by 14 (1 self)
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In the present paper the problem of removing one inner knot from the knot sequence of a Bspline curve is discussed. Doing so, a local (geometric) construction of the new control points from the given ones is first introduced. Then the degrees of freedom appearing in this general construction
Local Energy Fairing of BSpline Curves
, 1995
"... An automatic algorithm for fairing Bspline curves of general order is presented. This work was motivated by a method of Farin and Sapidis about fairing planar cubic Bspline curves by subsequently removing and reinserting knots. Instead our new algorithm is based on the idea of subsequently changin ..."
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Cited by 4 (0 self)
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An automatic algorithm for fairing Bspline curves of general order is presented. This work was motivated by a method of Farin and Sapidis about fairing planar cubic Bspline curves by subsequently removing and reinserting knots. Instead our new algorithm is based on the idea of subsequently
The effect of knot modifications on the shape of Bspline curves
 Journal for Geometry and Graphics
, 2001
"... Abstract. This paper is devoted to the shape control of Bspline curves achieved by the modification of one of its knot values. At first those curves are described along which the points of a Bspline curve move under the modification of a knot value. Then we show that the oneparameter family of k ..."
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Cited by 16 (5 self)
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Abstract. This paper is devoted to the shape control of Bspline curves achieved by the modification of one of its knot values. At first those curves are described along which the points of a Bspline curve move under the modification of a knot value. Then we show that the oneparameter family of k
Degree Elevation of Interval BSpline Curves
"... Abstract — This paper presents an efficient method for degree elevation of interval Bspline curves. The four fixed Kharitonov's polynomials (four fixed Bspline curves) associated with the original interval Bspline curve are obtained. The method is based on the matrix identity. The Bspline ..."
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Abstract — This paper presents an efficient method for degree elevation of interval Bspline curves. The four fixed Kharitonov's polynomials (four fixed Bspline curves) associated with the original interval Bspline curve are obtained. The method is based on the matrix identity. The Bspline
Degree Reduction of Interval BSpline Curves
"... Abstract—An algorithmic approach to degree reduction of interval Bspline curve is presented in this paper. The curves that are useful in geometric modeling should have a relatively smooth shape and should be intuitively connected with the path of the sequence of control points. One family of curves ..."
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Abstract—An algorithmic approach to degree reduction of interval Bspline curve is presented in this paper. The curves that are useful in geometric modeling should have a relatively smooth shape and should be intuitively connected with the path of the sequence of control points. One family
Note on symmetric alteration of knots of Bspline curves
"... The shape of a Bspline curve can be influenced by the modification of knot values. Previously the effect caused by symmetric alteration of two knots have been studied on the intervals between the altered knots. Here we show how symmetric knot alteration influences the shape of the Bspline curve ov ..."
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The shape of a Bspline curve can be influenced by the modification of knot values. Previously the effect caused by symmetric alteration of two knots have been studied on the intervals between the altered knots. Here we show how symmetric knot alteration influences the shape of the Bspline curve
Control point adjustment for Bspline curve approximation
"... Pottmann et al. propose an iterative optimization scheme for approximating a target curve with a Bspline curve based on square distance minimization, or SDM. The main advantage of SDM is that it does not need a parameterization of data points on the target curve. Starting with an initial Bspline c ..."
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Pottmann et al. propose an iterative optimization scheme for approximating a target curve with a Bspline curve based on square distance minimization, or SDM. The main advantage of SDM is that it does not need a parameterization of data points on the target curve. Starting with an initial Bspline
Results 1  10
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653