نتایج جستجو برای: spline or quadratic or cubic legendre functions

تعداد نتایج: 3946650  

1998
Henrik Weimer Charles K. Chui

This paper explores the intrinsic link between natural cubic splines and subdivision. Natural cubic splines are deened via the varia-tional problem of minimizing a simple approximation of bending energy. A subdivision scheme is derived which converges to the minimizer of this particular variational problem. x1. Introduction Geometric design is the study of the representation of shapes with math...

2015
T. Chettibi M. Haddad S. Hanchi

We discuss the problem of minimum cost trajectory planning for robotic manipulators. It consists of linking two points in the operational space while minimizing a cost function, taking into account dynamic equations of motion as well as bounds on joint positions, velocities, jerks and torques. This generic optimal control problem is transformed, via a clamped cubic spline model of joint tempora...

Journal: :iranian journal of medical physics 0
hamid-reza sadoughi medical physics research center, medical physics department, faculty of medicine, mashhad university of medical sciences, mashhad, iran shahrokh nasseri medical physics research center, medical physics department, faculty of medicine, mashhad university of medical sciences, mashhad, iran mahdi momennezhad medical physics research center, medical physics department, faculty of medicine, mashhad university of medical sciences, mashhad, iran imam reza hospital, mashhad university of medical sciences, mashhad, iran hadi sadoghi-yazdi department of computer engineering, ferdowsi university of mashhad, mashhad, mohammad-hossein bahreyni-toosi medical physics research center, medical physics department, faculty of medicine, mashhad university of medical sciences, mashhad, iran

introduction relative dose computation is a necessary step in radiation treatment planning. therefore, finding an approach that is both fast and accurate seems to be necessary. the purpose of this work was to investigate the feasibility of natural cubic spline to reconstruct dose maps for linear accelerator radiation treatment fields in comparison with those of the simulation. materials and met...

Journal: :Applied Mathematics Letters 1988

1997
P. C. Marais E. H. Blake

The Wavelet Transform generates a sparse multi-scale signal representation which may be readily compressed. To implement such a scheme in hardware, one must have a computationally cheap method of computing the necessary transform data. The use of semi-orthogonal quadratic spline wavelets allows one to maintain a suitable level of smoothness in the MRA whilst enabling cheap computation. Among th...

2007
Ömer Eğecioğlu

Abstract We show that the determinant of a Hankel matrix of odd dimension n whose entries are the enumerators of the Jacobi symbols which depend on the row and the column indices vanishes iff n is composite. If the dimension is a prime p, then the determinant evaluates to a polynomial of degree p−1 which is the product of a power of p and the generating polynomial of the partial sums of Legendr...

2016
Daem Roshani Ebrahim Ghaderi

BACKGROUND AND OBJECTIVE Cox model is a popular model in survival analysis, which assumes linearity of the covariate on the log hazard function, While continuous covariates can affect the hazard through more complicated nonlinear functional forms and therefore, Cox models with continuous covariates are prone to misspecification due to not fitting the correct functional form for continuous covar...

Journal: :Applied optics 2006
M Ares S Royo

We analyze an alternative to classical Zernike fitting based on the cubic B-spline model, and compare the strengths and weaknesses of each representation over a set of different wavefronts that cover a wide range of shape complexity. The results obtained show that a Zernike low-degree polynomial expansion or a cubic B-spline with a low number of breakpoints are the best choices for fitting simp...

2008
Zulfiqar Habib

A T-conic (rational cubic with a quadratic denominator) spiral spline, with shape control parameters, will be discussed with the view to its application in Computer Graphics. An efficient scheme is presented which constructs a curve interpolating a set of given data points and allows subsequent interactive alteration of the shape of the curve by changing the shape control and shape preserving p...

Journal: :Applied Mathematics and Computation 2013
R. C. Mittal Rachna Bhatia

The present paper uses new approach and methodology to solve second order one dimensional hyperbolic telegraph equation numerically by B-spline collocation method. It is based on collocation of modified cubic B-spline basis functions over the finite elements. The given equation is decomposed into system of equations and modified cubic B-spline basis functions have been used for spatial variable...

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