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On interpolation of bilinear operators with a real method
Mathematical Notes, 1992The author studies interpolation properties of bilinear operators on Banach spaces. He obtains interesting results. One of the questions he studies is the following. Let \(F\) be an interpolation functor. It is said to interpolate bilinear operators if for arbitrary Banach pairs \(\vec X= (X_ 0,X_ 1)\), \(\vec Y= (Y_ 0,Y_ 1)\), \(\vec Z=(Z_ 0,Z_ 1 ...
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An iterative feedrate optimization method for real-time NURBS interpolator
The International Journal of Advanced Manufacturing Technology, 2011Non-uniform rational B-spline (NURBS) interpolator has been widely used in modern manufacturing systems to machine arbitrary geometries with great relief of the data flow bottleneck and feedrate fluctuation. However, in practice, real-time feedrate does not always meet the computer numerical control (CNC) command exactly subject to the system dynamics.
Xiao-ting Zhang, Zhan Song
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Computer-Aided Design, 2014
Parametric interpolation is presently supported by majority of CNC systems because of its various advantages over traditional linear/circular interpolation. Two stages (i.e. rough interpolation and fine interpolation) involved in parametric interpolation are complementary to each other in terms of affecting machining quality significantly.
Yu-an Jin +4 more
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Parametric interpolation is presently supported by majority of CNC systems because of its various advantages over traditional linear/circular interpolation. Two stages (i.e. rough interpolation and fine interpolation) involved in parametric interpolation are complementary to each other in terms of affecting machining quality significantly.
Yu-an Jin +4 more
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Recursive spline interpolation method for real time engine control applications
2003 European Control Conference (ECC), 2003In this paper, new computationally efficient algorithms for spline interpolation method are explained. Theoretical comparative analysis of the spline interpolation method with combined high-gain observer and spline interpolation method is presented. New spline interpolation algorithms are implemented for estimation of the engine angular acceleration ...
Alexander Stotsky, Attila Forgo
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Interpolation between continuous parameter martingale spaces: The real method
Acta Mathematica Hungarica, 1995Interpolation between discrete parameter martingale Hardy spaces has already been studied by several authors, among them Janson and Jones, Milman, or Weisz. This paper is devoted to continuous parameter martingale spaces. It deals with problems of interpolation involving five kinds of martingale Hardy spaces and two kinds of martingale BMO spaces.
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Interpolating methods on a real head shape for brain topography mapping
Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 1992We propose several methods of interpolation on a surface of arbitrary shape which can be applied to brain topography reconstruction. The different methods were tested in order to determine their sensibility to spatial sampling, as well as their numerical performanace.
Farid Hassainia +3 more
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One property of functors of the real interpolation method
Mathematical Notes of the Academy of Sciences of the USSR, 1985A Banach space X is said to be intermediate between a Banach pair \(\vec X\equiv (X_ 0,X_ 1)\) if \(X_ 0\cap X_ 1\subseteq X\subseteq X_ 0+X_ 1\) (where embeddings are continuous). For such Banach triples, \((X_ 0,X_ 1,X)\) is said to be interpolative relative to \((Y_ 0,Y_ 1,Y)\) iff for each linear operator \(T:X_ 1\to Y_ 1\), \(i=0,1\), T(X ...
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Higher order commutators in the real method of interpolation
Journal d'Analyse Mathématique, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On one transformation of parameter-spaces of real interpolation method
Russian Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Realization of the device-identifier based on the real interpolation method
Proceedings of the 8th International Scientific and Practical Conference of Students, Post-graduates and Young Scientists Modern Technique and Technologies, 2002. MTT 2002., 2004In most cases of automatic control of dynamic objects to solve the problem of the identification of the control object, the control system as a whole or a part of the system is required. In practice successful solving of the identification problem depends on two moments: availability of mathematical assurance, which allows one to obtain accurate model ...
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