Abstract
Gaussian derivatives are often used as differential operators to analyze the structure in images. In this paper, we will analyze the accuracy and computational cost of the most common implementations for differentiation and interpolation of Gaussian-blurred multi-dimensional data. We show that – for the computation of multiple Gaussian derivatives – the method based on B-splines obtains a higher accuracy than the truncated Gaussian at equal computational cost.
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Bouma, H., Vilanova, A., Bescós, J.O., ter Haar Romeny, B.M., Gerritsen, F.A. (2007). Fast and Accurate Gaussian Derivatives Based on B-Splines. In: Sgallari, F., Murli, A., Paragios, N. (eds) Scale Space and Variational Methods in Computer Vision. SSVM 2007. Lecture Notes in Computer Science, vol 4485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72823-8_35
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DOI: https://doi.org/10.1007/978-3-540-72823-8_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72822-1
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