Closed spline curves bounding maximal area.
Sampoli, M.L. (2003)
Rendiconti del Seminario Matematico
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Displaying similar documents to “Least squares fitting of piecewise algebraic curves.”
Closed spline curves bounding maximal area.
On the shape parameter and constrained modification of GB-spline curves.
Li, Yajuan, Hoffmann, Miklós, Wang, Guozhao (2007)
Annales Mathematicae et Informaticae
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Approximate implicitization of parametric curves using cubic algebraic splines.
Zhang, Xiaolei, Wu, Jinming (2009)
Mathematical Problems in Engineering
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Relation between algebraic and geometric view on NURBS tensor product surfaces
Dalibor Martišek, Jana Procházková (2010)
Applications of Mathematics
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NURBS (Non-Uniform Rational B-Splines) belong to special approximation curves and surfaces which are described by control points with weights and B-spline basis functions. They are often used in modern areas of computer graphics as free-form modelling, modelling of processes. In literature, NURBS surfaces are often called tensor product surfaces. In this article we try to explain the relationship between the classic algebraic point of view and the practical geometrical application on...
Subdivision of linear corner cutting curves.
Aumann, Günter (1997)
Journal for Geometry and Graphics
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New algorithms and techniques for computing with geometrically continuous spline curves of arbitrary degree
H.-P. Seidel (1992)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Piecewise Polynomial Spaces and Geometric Continuity of Curves.
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Numerische Mathematik
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Curve reconstruction from a set of measured points
Hlavová, Marta
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In this article, a method of cubic spline curve fitting to a set of points passing at a prescribed distance from input points obtained by measurement on a coordinate measuring machine is described. When reconstructing the shape of measured object from the points obtained by real measurements, it is always necessary to consider measurement uncertainty (tenths to tens of micrometres). This uncertainty is not zero, therefore interpolation methods, where the resulting curve passes through...
Conditions for regular -spline curves and surfaces
N. Dyn, D. Levin, I. Yad-Shalom (1992)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Application of splines for determining the velocity characteristic of a medium from a vertical seismic survey
Vladimir Bogdanov, Wladimir Karsten, Valeriy Miroshnichenko, Yuriy Volkov (2013)
Open Mathematics
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A method for solving the inverse kinematic problem of determining the velocity characteristic of a medium from a vertical seismic survey, is proposed. It is based on the combined use of the eikonal equation and spline methods of approximation for multivariable functions. The problem is solved by assuming a horizontally stratified medium; no assumptions about the number of layers and their thickness are made. First, using the data of the first arrival times of the seismic signal from...