Results 11 to 20 of about 686,345 (230)
Direct Linear Interpolation of Geometric Objects in Conformal Geometric Algebra [PDF]
Advances in Applied Clifford Algebras, 2019 Typically we do not add objects in conformal geometric algebra (CGA), rather we apply operations that preserve grade, usually via rotors, such as rotation, translation, dilation, or via reflection and inversion. However, here we show that direct linear interpolation of conformal geometric objects can be both intuitive and of practical use. We present a
Hadfield, H., Lasenby, J.
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A pentagonal surface patch for computer-aided geometric design [PDF]
, 1981 A vector valued interpolation scheme for a pentagon is described which is compatible with surface patches which have a rectangular domain of definition. Such a scheme could be useful in computer- aided geometric design problems, where a pentagonal patch ...
Gregory, JA, Charrot, P
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Interpolation in singular geometric theories
, 2019 We present a generalization of Maehara's lemma to show that the extensions of classical and intuitionistic first-order logic with a special type of geometric axioms, called singular geometric axioms, have Craig's interpolation property. As a corollary, we obtain a direct proof of interpolation for (classical and intuitionistic) first-order logic with ...
Guido Gherardi +2 more
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MULTIVARIATE INTERPOLATION USING POLYHARMONIC SPLINES
Acta Polytechnica, 2021 Data measuring and further processing is the fundamental activity in all branches of science and technology. Data interpolation has been an important part of computational mathematics for a long time. In the paper, we are concerned with the interpolation
Karel Segeth
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Implementation of the geometrical problem in CNC metal cutting machine [PDF]
Научно-технический вестник Брянского государственного университета, 2017 The article deals with the tasks of managing the production process (technological process and technological equip-ment), the most detailed analysis of the implementation of the geometric problem in CNC machines.
Erokhin V.V.
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Shape preserving piecewise rational interpolation [PDF]
, 1983 An explicit representation of a C1 piecewise rational cubic function is developed which can be used to solve the problem of shape preserving interpolation.
Gregory, JA, Delbourgo, R
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Combined SGC-Ball Interpolation Curves: Construction and IGEO-Based Shape Optimization
Mathematics, 2023 With the swift advancement of the geometric modeling industry and computer technology, traditional generalized Ball curves and surfaces are challenging to achieve the geometric modeling of various complex curves and surfaces.
Jiaoyue Zheng +3 more
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Area-preserving geometric Hermite interpolation [PDF]
Journal of Computational and Applied Mathematics, 2019 In this paper we establish a framework for planar geometric interpolation with exact area preservation using cubic Bézier polynomials. We show there exists a family of such curves which are $5^{th}$ order accurate, one order higher than standard geometric cubic Hermite interpolation.
Geoffrey McGregor, Jean-Christophe Nave
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Empirical mode decomposition with shape-preserving spline interpolation
Results in Applied Mathematics, 2020 Empirical mode decomposition (EMD) is a popular, novel, user-friendly algorithm to decompose a given signal into its constituting components, utilizing spline interpolation.
Maria D. van der Walt
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On planar polynomial geometric interpolation
Journal of Approximation Theory, 2022 In the paper, the planar polynomial geometric interpolation of data points is revisited. Simple sufficient geometric conditions that imply the existence of the interpolant are derived in general. They require data points to be convex in a certain discrete sense.
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