-Spline (NURBS)
A BRIEF STUDY ON CARDINAL B- SPLINE WAVELETS
... Due to the orthonormal bases, wavelets provide fast algorithms in numerical aspects in taking approximations. Semi-orthogonal compactly supported B spline wavelets behave better and easier than other wavelets in a ...
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An efficient data structure for calculation of unstructured T-spline surfaces
... addition, it is difficult to represent a complex model with a single NURBS surface and the gaps along the common boundary of two NURBS surfaces are unavoidable. T-splines provide a promising way to breakdown these ...
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B spline surfaces on circle and fan shaped domain
... In 1971, French car manufacturer Renault's engineers Bezier proposed a new approach design the curve by control polygon, The method by manipulating control vertices to modify the shape of the curve and shape changes ...
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Mixed Formulation Of Spline Finite Strip Method Using Equally Spaced B2-Spline Series
... A finite strip for analysis of plate bending based on a mixed variational formulation principle using adapted equally spaced quadratic B-Spline series as interpolation function is proposed. The advantage of this ...
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Interpolation of natural cubic spline
... Then there exists a unique spline sx S3,A precisely, bounds the same area as the function does, xi.. We need the follof lema for the proof of Theorem LMMA I.[r] ...
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Penalized spline models and applications
... Until recently, the techniques for the estimation of the smooth terms in a regres- sion model using spline functions followed two main approaches: regression splines and smoothing splines. Regression splines are ...
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B-spline parameterized optimal motion trajectories for robotic systems with guaranteed constraint satisfaction
... the spline and can target specific regions where conservatism is ...the spline than the original one and hence conservatism is ...the spline for sub- sequent knot insertions is faster compared to ...
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Convergence of Quintic Spline Interpolation
... interpolant of Theorem 2.1 which are best possible. Let s(x) be the twice continuously differentiable quintic spline function satisfying the conditions of Theorem 2.1. Now considering f C (6) [0,1] and denoting ...
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GA Based Rational cubic B-Spline Representation for Still Image Interpolation
... In this section the construction method of local support based rational spline presented by Gregory and Sarfraz (1990) is reviewed and extended, in some way, to its one and two dimensional interpolatory functions. ...
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Solutions of Seventh Order Boundary Value Problems Using Ninth Degree Spline Functions and Comparison with Eighth Degree Spline Solutions
... degree spline function using extended cubic spline Bickley’s method to find the approximate solution of seventh order linear boundary value problems at different step ...
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Numerical Solution of Obstacle Problems by B Spline Functions
... Variational inequality theory has become an effective and powerful tool for studying obstacle and unilateral problems arising in mathematical and engineering sci- ences. This theory has developed into an interesting ...
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Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions
... the spline functions with some additional assumptions and definitions for approximating the solution of system of ordinary delay differential equation with fractional order which studied in [7] ...
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Spline Solution for the Nonlinear Schrödinger Equation
... The aim of this paper is to give an exponential spline interpolation method for the NLS equation. The paper is organized as follows. In Section 2, construction of the method is presented. The stability analysis of ...
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Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation
... Abstract In the present article, a numerical method is proposed for the numerical solution of the KdV equation by using a new approach by combining cubic B-spline functions. In this paper we convert the KdV ...
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Solution and interpolation of one-dimensional heat equation by using cran-nicolson, Cubic Spline and Cubic B-Spline
... This dissertation has been organized into five chapters. The first chapter serves as an introduction to the whole project. This chapter introduces the heat equation and spline interpolation which is the main ...
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Degree Elevation of Interval B-Spline Curves
... An efficient algorithm to elevate the degree of the interval B-spline curve is presented in this paper. The four fixed Kharitonov's polynomials (four fixed B-spline curves) associated with the original ...
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Glucose Calibration Modeling in Blood with Spline Regression Approaching to Non-Invasive Tools
... using spline regression can determine the best ...linear Spline will be obtained a model with the smallest GCV, the largest R-square, and the smallest ...quadratic spline model, and the cubic ...
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Spline Interpolation Techniques
... Depending on the type of mathematical constrains placed upon the Hermite splines, different member in the Hermite fam- ily can be made. For example, the traditional and constrained Hermite splines are two different ...
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A Method for Topographical Estimation of Lake Bottoms by B-Spline Surface
... Abstract: The application of B-spline (Basis spline) surface to the estimation of the lake bottom topography is described.By using the analysis of a bivariate B-spline, the shape of the lake bottom ...
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Adaptive refinement of hierarchical T-splines
... The geometry and boundary conditions of the annulus are shown in Figure 16a. The domain Ω is initially discre- tised by NURBS with a polynomial degree p = 2, with knot vectors Ξ 1 = [0, 0, 0, 1, 1, 1] and Ξ 2 = [0, 0, 0, ...
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