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Theory and Practice of Image B-Spline Interpolation

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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https://hal-enpc.archives-ouvertes.fr/hal-01846912
Contributor : Pascal Monasse <>
Submitted on : Monday, July 23, 2018 - 9:28:03 AM
Last modification on : Thursday, April 15, 2021 - 3:31:41 AM
Long-term archiving on: : Wednesday, October 24, 2018 - 12:55:48 PM

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Thibaud Briand, Pascal Monasse. Theory and Practice of Image B-Spline Interpolation. Image Processing On Line, IPOL - Image Processing on Line, 2018, 8, pp.99-141. ⟨10.5201/ipol.2018.221⟩. ⟨hal-01846912⟩

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