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Radial B-Splines for Optimal Detection in Images

J. Fageot, V. Uhlmann, A. Depeursinge, Z. Püspöki, D. Sage, M. Unser

Proceedings of the Sixteenth IEEE International Symposium on Biomedical Imaging: From Nano to Macro (ISBI'19), Venice, Italian Republic, April 8-11, 2019, pp. 1849.



We present a two-step pipeline for the detection of patterns of interest in an image. An optimal detector is learned from a single template, and this detector is then used to retrieve the unknown location and orientation of all occurrences of the pattern in the image. Our approach relies on continuous-domain additive image model, where the analysed image is the sum of the template and a background signal with self-similar isotropic power-spectrum. We are then able to compute the optimal filter for the detection tasks, which maximizes the SNR criterion for this image model.


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