Fast and accurate Gaussian derivatives based on B-splines

Authors:
Henri Bouma;Anna Vilanova;Javier Oliván Bescós;Bart M. Ter Haar Romeny;Frans A. Gerritsen
Affiliations:
Biomedical Image Analysis, Technische Universiteit Eindhoven, The Netherlands;Biomedical Image Analysis, Technische Universiteit Eindhoven, The Netherlands;Advanced Development, Healthcare Informatics, Philips Medical Systems, Best, The Netherlands;Biomedical Image Analysis, Technische Universiteit Eindhoven, The Netherlands;Biomedical Image Analysis, Technische Universiteit Eindhoven, The Netherlands and Advanced Development, Healthcare Informatics, Philips Medical Systems, Best, The Netherlands
Venue:
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Year:
2007

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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.