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Tensorial Orientation Scores

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Computer Analysis of Images and Patterns (CAIP 2015)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 9257))

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Abstract

Orientation scores [7, 10] are representations of images built using filters that only select on orientation (and not on the magnitude of the frequency). Importantly, they allow (easy) reconstruction, making them ideal for use in a filtering pipeline. Traditionally a specific set of orientations has to be chosen, and the response is determined for those orientations. This work introduces an alternative, where a tensorial representation is built that approximates an idealized orientation score in a well-defined way. It is shown that the filter’s output can be usefully interpreted in terms of tensor decompositions. Tensorial orientation scores can be considered to fit in a family of filtering schemes that includes not just traditional orientation scores, but also monomial filters [16] and curvelets [3].

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Authors and Affiliations

  1. Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, P.O. Box 407, 9700 AK, Groningen, The Netherlands

    Jasper J. van de Gronde

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  1. Jasper J. van de Gronde
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Correspondence to Jasper J. van de Gronde .

Editor information

Editors and Affiliations

  1. University of Malta, Msida, Malta

    George Azzopardi

  2. University of Groningen, Groningen, The Netherlands

    Nicolai Petkov

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van de Gronde, J.J. (2015). Tensorial Orientation Scores. In: Azzopardi, G., Petkov, N. (eds) Computer Analysis of Images and Patterns. CAIP 2015. Lecture Notes in Computer Science(), vol 9257. Springer, Cham. https://doi.org/10.1007/978-3-319-23117-4_67

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  • DOI: https://doi.org/10.1007/978-3-319-23117-4_67

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23116-7

  • Online ISBN: 978-3-319-23117-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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