Quasi-interpolation on the Body Centered Cubic Lattice

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Date
2009
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and Blackwell Publishing Ltd.
Abstract
This paper introduces a quasi-interpolation method for reconstruction of data sampled on the Body Centered Cubic (BCC) lattice. The reconstructions based on this quasi-interpolation achieve the optimal approximation order offered by the shifts of the quintic box spline on the BCC lattice. We also present a local FIR filter that is used to filter the data for quasi-interpolation. We document the improved quality and fidelity of reconstructions after employing the introduced quasi-interpolation method. Finally the resulting quasi-interpolation on the BCC sampled data are compared to the corresponding quasi-interpolation method on the Cartesian sampled data.
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@article{
10.1111:j.1467-8659.2009.01446.x
, journal = {Computer Graphics Forum}, title = {{
Quasi-interpolation on the Body Centered Cubic Lattice
}}, author = {
Entezari, Alireza
and
Mirzargar, Mahsa
and
Kalantari, Leila
}, year = {
2009
}, publisher = {
The Eurographics Association and Blackwell Publishing Ltd.
}, ISSN = {
1467-8659
}, DOI = {
10.1111/j.1467-8659.2009.01446.x
} }
Citation