The Weighted Euler Characteristic Transform for Image Shape Classification
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The weighted Euler characteristic transform (WECT) is a new tool for extracting shape information from data equipped with a weight function. Image data may benefit from the WECT where the intensity of the pixels are used to define the weight function. In this work, an empirical assessment of the WECT's ability to distinguish shapes on images with different pixel intensity distributions is considered, along with visualization techniques to improve the intuition and understanding of what is captured by the WECT. Additionally, the expected weighted Euler characteristic and the expected WECT are derived.
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Cited by 2 Pith papers
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Tensor Computation of Euler Characteristic Functions and Transforms
A GPU-optimized tensor method computes WECT and ECF for arbitrary-dimensional simplicial and cubical complexes with reported speedups over prior approaches and ships as the pyECT Python package.
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