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Geometric Calculus Applications to Medical Imaging: Status and Perspectives

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Systems, Patterns and Data Engineering with Geometric Calculi

Part of the book series: SEMA SIMAI Springer Series ((ICIAM2019SSSS,volume 13))

Abstract

Medical imaging data coming from different acquisition modalities requires automatic tools to extract useful information and support clinicians in the formulation of accurate diagnoses. Geometric Calculus (GC) offers a powerful mathematical and computational model for the development of effective medical imaging algorithms. The practical use of GC-based methods in medical imaging requires fast and efficient implementations to meet real-time processing constraints as well as accuracy and robustness requirements. The purpose of this article is to present the state of the art of the GC-based techniques for medical image analysis and processing. The use of GC-based paradigms in Radiomics and Deep Learning, i.e. a comprehensive quantification of tumor phenotypes by applying a large number of quantitative image features and its classification, is also outlined.

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  1. Department of Biomedicine, Neuroscience and Advanced Diagnostics, University of Palermo, Via del Vespro, 129, 90127, Palermo, Italy

    Silvia Franchini & Salvatore Vitabile

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  1. Silvia Franchini
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  2. Salvatore Vitabile
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Correspondence to Silvia Franchini .

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  1. Department of Mathematics, Universitat Politècnica de Catalunya, Barcelona, Spain

    Sebastià Xambó-Descamps

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Franchini, S., Vitabile, S. (2021). Geometric Calculus Applications to Medical Imaging: Status and Perspectives. In: Xambó-Descamps, S. (eds) Systems, Patterns and Data Engineering with Geometric Calculi. SEMA SIMAI Springer Series(), vol 13. Springer, Cham. https://doi.org/10.1007/978-3-030-74486-1_3

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