Tootfinder

From Lines to Shapes: Geometric-Constrained Segmentation of X-Ray Collimators via Hough Transform
Benjamin El-Zein, Dominik Eckert, Andreas Fieselmann, Christopher Syben, Ludwig Ritschl, Steffen Kappler, Sebastian Stober
https://arxiv.org/abs/2509.04437

From Lines to Shapes: Geometric-Constrained Segmentation of X-Ray Collimators via Hough Transform
Collimation in X-ray imaging restricts exposure to the region-of-interest (ROI) and minimizes the radiation dose applied to the patient. The detection of collimator shadows is an essential image-based preprocessing step in digital radiography posing a challenge when edges get obscured by scattered X-ray radiation. Regardless, the prior knowledge that collimation forms polygonal-shaped shadows is evident. For this reason, we introduce a deep learning-based segmentation that is inherently constra…

🧺 Woven baskets aren’t just aesthetically pleasing – materials science research finds they’re sturdier and more resilient than stiff containers
https://theconversation.com/woven-bask

Woven baskets aren’t just aesthetically pleasing – materials science research finds they’re sturdier and more resilient than stiff containers
3D woven baskets are geometrically sophisticated, with some incredible properties that engineers can use to design materials and technology.

The Non-commutative Spaces of Higher-Order Networks of Bach's Solo Violin Compositions: Dimension, Curvature, and Distance through the Spectral Triplet
Sara Najem, Dima Mrad
https://arxiv.org/abs/2509.04311

The Non-commutative Spaces of Higher-Order Networks of Bach's Solo Violin Compositions: Dimension, Curvature, and Distance through the Spectral Triplet
Our work is concerned with simplicial complexes that describe higher-order interactions in real complex systems. This description allows to go beyond the pairwise node-to-node representation that simple networks provide and to capture a hierarchy of interactions of different orders. The prime contribution of this work is the introduction of geometric measures for these simplicial complexes. We do so by noting the non-commutativity of the algebra associated with their matrix representations and …

Rotating Isospectral Drums
Anton Lebedev
https://arxiv.org/abs/2510.02397 https://arxiv.org/pdf/2510.02397

Rotating Isospectral Drums
In this thesis I demonstrate that isospectral domains, that is domains of differing geometric shapes that possess identical spectra, do not remain isospectral when subject to uniform rotation. One thus *can* hear the shape of a rotating drum. It is shown that the spectra diverge as $\propto\left(\fracω{c}\right)^2$ similarly to a square but different from a circle, whose degenerate eigenfrequencies split $\propto \left(\fracω{c}\right)$. The latter two cases are studied analytically and used …

Yamaguti algebras and noncrossing partitions
Fr\'ed\'eric Chapoton (IRMA), Vladimir Dotsenko (IRMA)
https://arxiv.org/abs/2510.03148 https://arxiv.…

Yamaguti algebras and noncrossing partitions
Recently, Das defined a new type of algebras, the Yamaguti algebras, which are supposed to serve as envelopes of Lie-Yamaguti algebras appearing naturally in differential geometry. We show that the nonsymmetric operad of Yamaguti algebras admit a simple combinatorial description via noncrossing partitions without singleton blocks.

Replaced article(s) found for math.GT. https://arxiv.org/list/math.GT/new
[1/1]:
- Nu-invariants of extra-twisted connected sums
Sebastian Goette, Johannes Nordstr\"om, Don Zagier

Replaced article(s) found for math.DG. https://arxiv.org/list/math.DG/new
[1/1]:
- A conformal Hopf-Rinow theorem for semi-Riemannian spacetimes
Annegret Burtscher

Modular Zilber-Pink for geometrically generic varieties
Vahagn Aslanyan, Sebastian Eterovi\'c, Guy Fowler
https://arxiv.org/abs/2509.03160 https://arxi…

Modular Zilber-Pink for geometrically generic varieties
We prove that the modular Zilber--Pink conjecture (in Pink's formulation in terms of unlikely intersections) holds for all subvarieties $V$ of $ \mathrm{Y}(1)^n$ for which no projection to any $\dim V + 2$ coordinates is defined over the algebraic numbers.

Geometric Spatio-Spectral Total Variation for Hyperspectral Image Denoising and Destriping
Shingo Takemoto, Shunsuke Ono
https://arxiv.org/abs/2510.00562 https://

Geometric Spatio-Spectral Total Variation for Hyperspectral Image Denoising and Destriping
This article proposes a novel regularization method, named Geometric Spatio-Spectral Total Variation (GeoSSTV), for hyperspectral (HS) image denoising and destriping. HS images are inevitably affected by various types of noise due to the measurement equipment and environment. Total Variation (TV)-based regularization methods that model the spatio-spectral piecewise smoothness inherent in HS images are promising approaches for HS image denoising and destriping. However, existing TV-based methods…

Tidal Love numbers and quasi-normal modes of the ECO in a Dark Matter halo
Kabir Chakravarti, Chiranjeeb Singha
https://arxiv.org/abs/2509.03556 https://ar…

Tidal Love numbers and quasi-normal modes of the ECO in a Dark Matter halo
It is well-known that exotic compact objects (ECOs) are a class of objects categorised as Black Hole (BH) mimickers. ECOs have been shown to possess signatures distinguishing them from BHs. However, in our universe, no object exists in complete isolation. Consequently, any compact object, whether a BH or an ECO, must reside within some environment that inevitably influences the surrounding spacetime geometry due to back-reaction. In this paper, we investigate a scenario where an ECO is embedded…