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Journal Articles Image Processing On Line Year : 2018

Theory and Practice of Image B-Spline Interpolation


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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hal-01846912 , version 1 (23-07-2018)



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