Interpolating Industrial Robot Orientation with Hermite Spline Curve Based on Logarithmic Quaternion
Xibei Gongye Daxue Xuebao, 2019 Smooth orientation planning has an important influence on the working quality and service life as for industrial robot. Based on the logarithmic quaternion, a compact method to map a spline curve from Cartesian space to quaternion space is proposed, and ...
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Application of a four-dimensional space fractal interpolation algorithm in grade estimation
工程科学学报, 2015 Kriging interpolation is a widely used low-pass filter interpolation method, but it cannot reconstruct the high-frequency, low-frequency and partial information of original information.
HU Nai-lian +3 more
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Intraoperative Data-Based Haptic Feedback for Arthroscopic Partial Meniscectomy Punch Simulation
IEEE Access, 2022 The use of intraoperative tool-tissue interaction data for arthroscopic digital twins has the potential to enhance haptic feedback in surgical simulations.
Oystein Bjelland +3 more
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Upsampling for Improved Multidimensional Attribute Space Clustering of Multifield Data
Information, 2018 Clustering algorithms in the high-dimensional space require many data to perform reliably and robustly. For multivariate volume data, it is possible to interpolate between the data points in the high-dimensional attribute space based on their spatial ...
Vladimir Molchanov, Lars Linsen
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Energy Reports, 2022 It is very significant to comprehensively understand the variation and distribution of the underground thermal environment, which will help to increase the building energy efficiency and improve the users’ thermal comfort.
Zhuoyu Yu +4 more
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Local uniform convexity and Kadec-Klee type properties in K-interpolation spaces I: General Theory
Journal of Function Spaces and Applications, 2004 We present a systematic study of the interpolation of local uniform convexity and Kadec-Klee type properties in K-interpolation spaces. Using properties of the K-functional of J.Peetre, our approach is based on a detailed analysis of properties of a ...
Peter G. Dodds +3 more
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Formulas for Kp–functional for some pairs of finite-dimensional spaces
Вестник Самарского университета: Естественнонаучная серияThis article discusses the question of the exact formula for K–functional for a pair (λn1 (ω), ln∞(h)) and the equivalent formula for Kp–functional for a pair (λnp(ω), ln∞(h)).
V. A. Buryy, R. F. Uzbekov
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Characterization of interpolation between Grand, small or classical Lebesgue spaces
, 2017 In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are so called Lorentz-Zygmund spaces or more generally $G\Gamma$-spaces. As a direct consequence of our results any Lorentz-Zygmund space $L^{a,r}({\rm Log}\,
Fiorenza, Aberto +4 more
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Space-Time Transfinite Interpolation of Volumetric Material Properties [PDF]
, 2014 The paper presents a novel technique based on extension of a general mathematical method of transfinite interpolation to solve an actual problem in the context of a heterogeneous volume modelling area.
Adzhiev, Valery +4 more
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Interpolation of Ces{\`a}ro sequence and function spaces
, 2012 The interpolation property of Ces{\`a}ro sequence and function spaces is investigated. It is shown that $Ces_p(I)$ is an interpolation space between $Ces_{p_0}(I)$ and $Ces_{p_1}(I)$ for $1 < p_0 < p_1 \leq \infty$ and $1/p = (1 - \theta)/p_0 + \theta ...
Astashkin, Sergey V., Maligranda, Lech
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