Displaying similar documents to “Least squares fitting of piecewise algebraic curves.”

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...

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...