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Quasi‐interpolation on the Body Centered Cubic Lattice
Author(s) -
Entezari A.,
Mirzargar M.,
Kalantari L.
Publication year - 2009
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/j.1467-8659.2009.01446.x
Subject(s) - bilinear interpolation , spline interpolation , trilinear interpolation , monotone cubic interpolation , interpolation (computer graphics) , nearest neighbor interpolation , bicubic interpolation , multivariate interpolation , stairstep interpolation , lattice (music) , mathematics , algorithm , computer science , computer graphics (images) , physics , computer vision , animation , acoustics
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.