Rotation invariance and directional sensitivity: Spherical harmonics versus radiomics features

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Abstract

We define and investigate the Local Rotation Invariance (LRI) and Directional Sensitivity (DS) of radiomics features. Most of the classical features cannot combine the two properties, which are antagonist in simple designs. We propose texture operators based on spherical harmonic wavelets (SHW) invariants and show that they are both LRI and DS. An experimental comparison of SHW and popular radiomics operators for classifying 3D textures reveals the importance of combining the two properties for optimal pattern characterization.

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Depeursinge, A., Fageot, J., Andrearczyk, V., Ward, J. P., & Unser, M. (2018). Rotation invariance and directional sensitivity: Spherical harmonics versus radiomics features. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11046 LNCS, pp. 107–115). Springer Verlag. https://doi.org/10.1007/978-3-030-00919-9_13

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