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On geometric interpolation of parametric surfaces
Computer Aided Geometric Design, 2005The conjecture that for plane curves it is possible to construct interpolation schemes of degree \(n\) with approximation order \(2n\) has been verified for the cases \(n=2 ,3\) under certain conditions on locations of points of interpolation. For a result concerning curves in space of dimension \(d\) reference may be made to the paper of \textit{K ...
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Geometric Hermite Interpolation—
Computer Aided Geometric Design, 2005Given an overview of some recent developments of geometric Hermite approximation theory for plane curves.
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Geometric Continuity with Interpolating Bézier Curves
1985Graphics Interface '85, Montréal, Québec, Canada, 27 - 31 May 1985, 337 ...
Fournier, Alain, Barsky, Brian A.
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Tensioned Quasi-Interpolation Via Geometric Continuity
Advances in Computational Mathematics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paola Lamberti, Carla Manni
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Visualizing Geometric Uncertainty of Surface Interpolants
1996Evaluating and comparing the quality of surface interpolants is an important problem in computer graphics, computer aided geometric design and scientific visualization. We introduce geometric uncertainty as a measure of interpolation error, level of confidence or quality of an interpolant.
Suresh K. Lodha +3 more
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Geometric correction through complex interpolation
Proceedings. International Conference on Image Processing, 2003A method for the correction of images that are subject to spatial warping is presented. The correction method applies to two-dimensional images and employs the construction of a complex-valued interpolating polynomial. The construction is based on defining a set of points in an image whose desired location is known.
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Rational Geometric Curve Interpolation
, 1992 . This survey covers geometric (i.e. parametrization-- independent) curve interpolation methods by piecewise rational functions with geometric continuity. It includes shape--preserving properties, orders of accuracy, and provides a number of examples. x1.
R. Schaback
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Geometric Hermite interpolation with circular precision
Computer-Aided Design, 2008We present several Hermite-type interpolation methods for rational cubics. In case the input data come from a circular arc, the rational cubic will reproduce it.
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A Geometric PDE for Interpolation of M-Channel Data
2009We propose a partial differential equation to be used for interpolating M -channel data, such as digital color images. This equation is derived via a semi-group from a variational regularization method for minimizing displacement errors. For actual image interpolation, the solution of the PDE is projected onto a space of functions satisfying ...
Frank Lenzen, Otmar Scherzer
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GEOMETRIC THEORY OF MULTIDIMENSIONAL INTERPOLATION
Automation and modeling in design and management, 2020The paper presents a geometric theory of multidimensional interpolation based on invariants of affine geometry. The analytical description of geometric interpolants is performed within the framework of the mathematical apparatus BN-calculation using algebraic curves that pass through preset points.
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