Results 21 to 30 of about 758,138 (253)
Advances in Difference Equations, 2021 This paper proposes two numerical approaches for solving the coupled nonlinear time-fractional Burgers’ equations with initial or boundary conditions on the interval [ 0 , L ] $[0, L]$ .
Adel R. Hadhoud +2 more
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2D piecewise algebraic splines for implicit modeling
ACM Transactions on Graphics, 2009 2D splines are a powerful tool for shape modeling, either parametrically or implicitly. However, compared with regular grid-based tensor-product splines, most of the high-dimensional spline techniques based on nonregular 2D polygons, such as box spline and simplex spline, are generally very expensive to evaluate.
Qingde Li, Jie Tian
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A family of tangent continuous cubic algebraic splines [PDF]
ACM Transactions on Graphics, 1993 Summary: We present an algorithm for creating tangent continuous splines from segments of algebraic cubic curves. The curves used are cubic ovals, and thus are guaranteed convex. Each segment is given by an equation which has five coefficients, thus four degrees of freedom available for shape control.
Marco Paluszny, Richard R. Patterson
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Approximate Implicitization of Parametric Curves Using Cubic Algebraic Splines [PDF]
Mathematical Problems in Engineering, 2009 This paper presents an algorithm to solve the approximate implicitization of planar parametric curves using cubic algebraic splines. It applies piecewise cubic algebraic curves to give a global G2 continuity approximation to planar parametric curves. Approximation error on approximate implicitization of rational curves is given.
Xiaolei Zhang, Jinming Wu
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A Biorthogonal Hermite Cubic Spline Galerkin Method for Solving Fractional Riccati Equation
Mathematics, 2022 This paper is devoted to the wavelet Galerkin method to solve the Fractional Riccati equation. To this end, biorthogonal Hermite cubic Spline scaling bases and their properties are introduced, and the fractional integral is represented based on these ...
Haifa Bin Jebreen, Ioannis Dassios
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Algebraic Grid Generation Using Tensor Product B-Splines
, 2019 In general, finite difference methods are more successful if the accompanying grid has lines which are smooth and nearly orthogonal. This thesis discusses the development of an algorithm which produces such a grid when given the boundary description. Topological considerations in structuring the grid generation mapping are discussed.
Bonita V. Saunders
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, 2012 The algebraic-trigonometric Hermite polynomials curves possess the properties similar to those of normal cubic Hermite curves, while preserving the Ck – continuity without solving linear equation systems.
Benyue Su, Liping Zou
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Interpolating Clothoidal Spline Curve by Computer Algebra System.
Journal of the Japan Society for Precision Engineering, 1996 広く普及してきた汎用の数式処理システムを導入することによって, 形状設計分野で有用性が認められているクロソイドスプライン補間曲線をより一般的に手軽に導く方法を示すことができた.与点通過の拘束条件に種々の境界条件式を実行時にデータとして与えてこれらの非線形の条件式を連立してニュートン法で直接解くことができた.数式処理機能に合わせた注意深い定式化によってプログラムを極めて簡潔に記述することができた.これはまた数式処理機能のこの分野での有用性の一端を例証するものであると考える.一方, クロソイドスプライン補間曲線は比較的制約が強いこともわかったので, 今後, 本研究の考え方を拡張して1スパンが複数個のクロソイド弧からなる曲線, 曲率が弧長の2 ...
Mitsuru Kuroda +3 more
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Algebraic methods to study the dimension of supersmooth spline spaces
Advances in Applied Mathematics, 2023 D. Toshniwal, N. Villamizar
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Smoothing polyhedra using implicit algebraic splines [PDF]
Proceedings of the 19th annual conference on Computer graphics and interactive techniques, 1992 Chandrajit Bajaj, Insung Ihm
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