A new article is available in IPOL: https://www.ipol.im/pub/art/2018/221/
Thibaud Briand, and Pascal Monasse,
Theory and Practice of Image B-Spline Interpolation,
Image Processing On Line, 8 (2018), pp. 99–141.
https://doi.org/10.5201/ipol.2018.221
Abstract
We explain how the B-spline interpolation of signals and, in particular,
of images can be efficiently performed by linear filtering. Based on the
seminal two-step method proposed by Unser et al. in 1991, we propose two
slightly different prefiltering algorithms whose precisions are proven
to be controlled thanks to a rigorous boundary handling. This paper
contains all the information, theoretical and practical, required to
perform efficiently B-spline interpolation for any order and any
boundary extension. We describe precisely how to evaluate the kernel and
to compute the B-spline interpolator parameters. We show experimentally
that increasing the order improves the interpolation quality. As a
fundamental application we also provide an implementation of homographic
transformation of images using B-spline interpolation.
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IPOL - Image Processing On Line - http://ipol.im/
contact [email protected] - http://www.ipol.im/meta/contact/
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announces [email protected] - http://tools.ipol.im/mm/announce/
discussions [email protected] - http://tools.ipol.im/mm/discuss/