Results 181 to 190 of about 3,176 (221)
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Positive interpolation with rational quadratic splines
Computing, 1987zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jochen W. Schmidt, Walter Heß
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Monotone linear rational spline interpolation
Computer Aided Geometric Design, 1992A method for interpolating a monotone data sequence (values and derivatives) with a \(C^ 1\) monotone linear rational \(B\)-spline (LRBS) is presented, with some test results. The LRBS accepts any set of monotonic data with compatible derivatives but it cannot handle zero slope which is undesirable in curve parametrization anyway [cf. \textit{J.
Richard D. Fuhr, Michael Kallay
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Unconditionally Convergent Rational Interpolation Splines
Mathematical Notes, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramazanov, A.-R. K., Magomedova, V. G.
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Interpolating G1-splines with rational offsets
Computer Aided Geometric Design, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Rational B-splines with prescribed poles
Numerical Algorithms, 1996Given a knot sequence of the compact interval and a pole sequence outside this interval the author defines the rational B-splines by a three term recurrence scheme. When all poles are in infinity the recurrence formula reduces to the one of \textit{C. de Boor} [Splinefunktionen (1990; Zbl 0719.41013)].
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Dynamic rational B-spline surfaces
Computer-Aided Design, 1990Abstract The rationale for the development of a constant performance incremental algorithm for the dynamic real-time modification of B-spline surfaces is presented. Pseudocode for the complete algorithm is presented. Implemented in software, the algorithm is capable of dynamic real-time modification of B-spline surfaces using moderately capable ...
David F. Rogers, Linda A. Adlum
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2000
A cubic polynomial curve in the xy-plane, (x1 (t), x2(t)), whose cubic term has a coefficient of 0 reduces to a parabola in this special case; but a cubic polynomial cannot represent other conic section curves such as a circular arc, an elliptic arc, or a segment of an hyperbola. It is an interesting fact, however, that an elliptic or hyperbolic arc in
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A cubic polynomial curve in the xy-plane, (x1 (t), x2(t)), whose cubic term has a coefficient of 0 reduces to a parabola in this special case; but a cubic polynomial cannot represent other conic section curves such as a circular arc, an elliptic arc, or a segment of an hyperbola. It is an interesting fact, however, that an elliptic or hyperbolic arc in
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A recurrence relation for rational B-splines
Computer Aided Geometric Design, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inversed rational B-spline for interpolation
Computers & Structures, 1992The authors introduce the inversed rational \(B\)-spline interpolating curve. The weighting parameter of the rational \(B\)-spline is used to enhance the controllability for the geometry of the interpolated curve. Some examples are given.
Tan, ST, Lee, CK
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Shape controls in rational beta-splines
Computers & Graphics, 1991Abstract This work compares different effects of two kinds of shape parameters, β-parameters and nonuniform rational beta-splines (NURBETA) weights, and points out that they have different mechanisms and different effecting domains. While weights can only be used locally, β-parameters can be used globally as well as locally.
Hua Li, Shenquan Liu
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