Results 21 to 30 of about 53,902 (261)
Transactions of the American Mathematical Society, 1967 Introduction. The past two decades have witnessed an increasing intensity of investigation, [1]-[26], into the properties of spline functions. These functions, which in their simplest form yield the analytic counterpart of the draftsman's tool for drawing a smooth curve through a number of prescribed points, play an important and fundamental role in ...
Ahlberg, J. H. +2 more
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3D Reconstruction Using Cubic Bezier Spline Curves and Active Contours (Case Study) [PDF]
Iranian Journal of Medical Physics, 2012 Introduction 3D reconstruction of an object from its 2D cross-sections (slices) has many applications in different fields of sciences such as medical physics and biomedical engineering.
Atefeh Foroozandeh +4 more
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Stretch-Energy-Minimizing B-Spline Interpolation Curves and Their Applications
Mathematics, 2023 In this paper, we propose a new method to construct energy-minimizing cubic B-spline interpolation curves by minimizing the approximated stretch energy. The construction of a B-spline interpolation curve with a minimal approximated stretch energy can be ...
Qian Ni, Chen Xie
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Rational Cubics and Conics Representation: A Practical Approach
International Islamic University Malaysia Engineering Journal, 2012 A rational cubic spline, with one family of shape parameters, has been discussed with the view to its application in Computer Graphics. It incorporates both conic sections and parametric cubic curves as special cases.
M. Sarfraz, Z. Habib
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Trajectory Planning of Autonomous Underwater Vehicles Based on Gauss Pseudospectral Method
Sensors, 2023 This paper aims to address the obstacle avoidance problem of autonomous underwater vehicles (AUVs) in complex environments by proposing a trajectory planning method based on the Gauss pseudospectral method (GPM).
Wenyang Gan, Lixia Su, Zhenzhong Chu
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Cubic splines solutions of the higher order boundary value problems arise in sandwich panel theory
Results in Physics, 2022 An inventive strategy is bestowed here to acquire the numeral roots of nonlinear boundary value problems(BVPs) of 14th-order utilizing cubic splines. Two cubic splines; Polynomial and non-polynomial, are exploited to find out the solutions of nonlinear ...
Aasma Khalid +5 more
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CoRR, 2019 A normalizing flow models a complex probability density as an invertible transformation of a simple density. The invertibility means that we can evaluate densities and generate samples from a flow. In practice, autoregressive flow-based models are slow to invert, making either density estimation or sample generation slow.
Conor Durkan +3 more
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The EH Interpolation Spline and Its Approximation
Abstract and Applied Analysis, 2014 A new interpolation spline with two parameters, called EH interpolation spline, is presented in this paper, which is the extension of the standard cubic Hermite interpolation spline, and inherits the same properties of the standard cubic Hermite ...
Jin Xie, Xiaoyan Liu
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Advances in Difference Equations, 2021 The accuracy of analytical obtained solutions of the fractional nonlinear space–time telegraph equation that has been constructed in (Hamed and Khater in J. Math., 2020) is checked through five recent semi-analytical and numerical techniques.
Mostafa M. A. Khater +4 more
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Comparison of selected splines for stem form modeling: A case study in Norway spruce
Annals of Forest Research, 2014 Natural cubic spline has been frequently used to represent stem forms, with other spline types rarely involved. Splines are a large class of functions and there are many other spline types which might serve that purpose.
Karel Kuželka, Róbert Marušák
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