A T1c-guided, three-view fusion pipeline improves downstream tumor segmentation Dice over anisotropic T2w input, but the gain is confounded by cross-contrast information and a questionable smoothing objective.
A counterexample to a conjecture of Larman and Rogers on sets avoiding distance 1
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abstract
For $n \geq 2$ we construct a measurable subset of the unit ball in $\mathbb{R}^n$ that does not contain pairs of points at distance 1 and whose volume is greater than $(1/2)^n$ times the volume of the ball. This disproves a conjecture of Larman and Rogers from 1972.
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2026 1verdicts
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Anatomically Consistent Cross-Contrast Super-Resolution of Anisotropic Brain T2w MRI
A T1c-guided, three-view fusion pipeline improves downstream tumor segmentation Dice over anisotropic T2w input, but the gain is confounded by cross-contrast information and a questionable smoothing objective.