naamiinepal / xrayto3D-benchmark

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Weighted Spectral Distance(WESD) #13

Open msrepo opened 1 year ago

msrepo commented 1 year ago

Description

WESD between two binary segmentations is pose-invariant. This could be useful as a metric for retrieval-based methods. Current Implementation of Image-Space metrics such as DSC, ASD, HD are pose-sensitive.

Literature

Anatomy-Aware Inference of the 3D Standing Spine Posture from 2D Radiographs WESD - Weighted Spectral Distance for Measuring Shape Dissimilarity Discriminative Segmentation-based Evaluation through Shape Dissimilarity Martin Reuter et al. Laplace-Beltrami spectra as "Shape-DNA" of surfaces and solids Computer-Aided Design 38(4):342-366, 2006 Discrete Laplace-Beltrami Operators for Shape Analysis and Segmentation

Reference

laplace-beltrami operation implementation [Numerical Methods for Partial Differential Equations, Ames,Chapter 2] Arnoldi's Method for eigenvalues of sparse matrix

Tasks

Include specific tasks in the order they need to be done in. Include links to specific lines of code where the task should happen at.