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A fitting approach with dynamic algebraic spline curves
Ninth International Conference on Computer Aided Design and Computer Graphics (CAD-CG'05), 2005In computer aided geometric design and computer graphics, fitting point clouds with smooth curves (known as curve reconstruction) is a widely investigated problem. Dynamic implicit curve reconstruction is a new approach appearing in the curve reconstruction.
null Changqi Hu, null Zhouwang Yang
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The linear algebra of box spline spaces
1993In this chapter, we consider the cardinal spline space $$S: = {S_M}: = span{\left( {M\left( { \cdot - j} \right)} \right)_{j{ \in ^s}}}$$ (1) i.e., the space spanned by the shifts, or integer translates, of the box spline \(M: = {M_\Xi }.\)
Carl de Boor +2 more
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A Class of Algebraic Trigonometric Interpolation Splines and Applications
2010 International Conference on Computational and Information Sciences, 2010A new kind of interpolation splines with a shape parameter over the algebraic trigonometric function space Ω=span {1, t, sint, cost, sint2t, cos2t} is presented, which are called cubic algebraic trigonometric splines. The cubic algebraic trigonometric splines have many similar properties to cubic B-splines.
Yang Lian, Li Juncheng, Chen Guohua
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Algebraic Proof of the B-Spline Derivative Formula
2005We prove a well known formula for the generalized derivatives of Chebyshev B--splines: \begin{; ; ; eqnarray*}; ; ; L_1B_i^k(x) & = & \frac{; ; ; B_i^{; ; ; k-1}; ; ; (x)}; ; ; {; ; ; C_{; ; ; k-1}; ; ; (i)}; ; ; - \frac{; ; ; B_{; ; ; i+1}; ; ; ^{; ; ; k-1}; ; ; (x)}; ; ; {; ; ; C_{; ; ; k-1}; ; ; (i+1)}; ; ; , \end{; ; ; eqnarray*}; ; ; where \begin{;
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A Trigonometric Quintic B-Spline Basis Collocation Method for the KdV–Kawahara Equation
Numerical Analysis and Applications, 2023B. Karaağaç +3 more
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
Least-Squares Fitting of Algebraic Spline Curves via Normal Vector Estimation
IMA Conference on the Mathematics of Surfaces, 2000B. Jüttler
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Algebraic Phase Unwrapping Based on Two-Dimensional Spline Smoothing Over Triangles
IEEE Transactions on Signal Processing, 2016D. Kitahara, I. Yamada
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