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New Spline Quasi-Interpolant for Fitting 3-D Data on the Sphere: Applications to Medical Imaging
<span title="">2007</span>
<i title="Institute of Electrical and Electronics Engineers (IEEE)">
<a target="_blank" rel="noopener" href="https://fatcat.wiki/container/msfmoh6v7bdk7lrsmtbklto74i" style="color: black;">IEEE Signal Processing Letters</a>
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In this paper, a new local spline quasi-interpolant is constructed for fitting 3-D data defined on the sphere-like surface . After mapping the surface onto a rectangular domain, we use the tensor product of cubic polynomial B-splines and 2 -periodic uniform algebraic trigonometric B-splines (UAT B-splines) of order four to introduce a new expression of the associated quasi-interpolant . The use of UAT B-splines is necessary to enforce some boundary conditions which are useful to ensure the 1
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... tinuity 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. Index Terms-B-spline, medical data, quasi-interpolant, sphere-like surface reconstruction, uniform algebraic trigonometric B-splines (UAT B-splines).
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