Ameur, E.B. and Sbibih, D. and Almhdie, A. and Léger, C. (2007) New spline quasi-interpolant for fitting 3-D data on the sphere: Applications to medical imaging. IEEE Signal Processing Letters, 14 (5). pp. 333-336.

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Abstract

In this paper, a new local spline quasi-interpolant is constructed for fitting 3-D data defined on the sphere-like surface S. After mapping the surface S onto a rectangular domain, we use the tensor product of cubic polynomial B-splines and 2π -periodic uniform algebraic trigonometric B-splines (UAT B-splines) of order four to introduce a new expression of the associated quasi- interpolant Q. The use of UAT B-splines is necessary to enforce some boundary conditions which are useful to ensure the C1 continuity of the associated surface. The new method is particularly well designed to render 3-D closed surfaces. It has been successfully applied to reconstruct human organs such as the lung and left ventricle of the heart. © 2007 IEEE.

Item Type: Article
Uncontrolled Keywords: Boundary conditions; Computer simulation; Heart valve prostheses; Interpolation; Polynomials; Tensors, Quasi-interpolant; Sphere-like surface reconstruction; Uniform algebraic trigonometric B-splines, Medical imaging
Subjects: Computer Science
Divisions: SCIENTIFIC PRODUCTION > Computer Science
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:46
URI: http://eprints.umi.ac.ma/id/eprint/2786

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