Results 41 to 50 of about 65,475 (209)

Moduli spaces of toric manifolds [PDF]

, 2013
We construct a distance on the moduli space of symplectic toric manifolds of dimension four. Then we study some basic topological properties of this space, in particular, path-connectedness, compactness, and completeness. The construction of the distance
A. R. Pires, E Lerman, E Čech, GC Shephard, J Coffey, J-C Hausmann, J-C Hausmann, JJ Duistermaat, JJ Duistermaat, M Atiyah, M Harada, M Kapovich, M Krein, MH Stone, R Lang, S. Sabatini, T Delzant, T. S. Ratiu, V Guillemin, V Guillemin, Vũ Ngọc, Y Karshon, Á Pelayo, Á Pelayo, Á Pelayo, Á Pelayo, Á. Pelayo   +26 more
core   +2 more sources

The Quantum Gromov-Hausdorff Propinquity [PDF]

, 2013
We introduce the quantum Gromov-Hausdorff propinquity, a new distance between quantum compact metric spaces, which extends the Gromov-Hausdorff distance to noncommutative geometry and strengthens Rieffel's quantum Gromov-Hausdorff distance and Rieffel's ...
Latremoliere, Frederic
core   +2 more sources

Quantized Gromov–Hausdorff distance

Journal of Functional Analysis, 2006
A quantized metric space is a matrix order unit space equipped with an operator space version of Rieffel's Lip-norm. We develop for quantized metric spaces an operator space version of quantum Gromov-Hausdorff distance. We show that two quantized metric spaces are completely isometric if and only if their quantized Gromov-Hausdorff distance is zero. We
openaire   +2 more sources

BMPCQA: Bioinspired Metaverse Point Cloud Quality Assessment Based on Large Multimodal Models

Advanced Intelligent Systems, EarlyView.
This study presents a bioinspired metaverse point cloud quality assessment metric, which simulates the human visual evaluation process to perform the point cloud quality assessment task. It first extracts rendering projection video features, normal image features, and point cloud patch features, which are then fed into a large multimodal model to ...
Huiyu Duan, Kang Fu, Sijing Wu, Yunhao Li, Zicheng Zhang, Qiang Hu, Xiongkuo Min, Guangtao Zhai   +7 more
wiley   +1 more source

Similarity Analysis between Contour Lines by Remotely Piloted Aircraft and Topography Using Hausdorff Distance: Application on Contour Planting

Remote Sensing, 2022
Contour planting minimizes soil degradation, making agricultural production more sustainable. Currently, geotechnologies can provide more precise and fast data from relief than rudimentary data acquisition for agricultural management. Thus, the objective
Alexandre Araujo Ribeiro Freire, Mauro Antonio Homem Antunes, Murilo Machado de Barros, Wagner Dias de Souza, Wesley de Sousa da Silva, Thaís Machado de Souza   +5 more
doaj   +1 more source

A multivariate Gnedenko law of large numbers

, 2013
We show that the convex hull of a large i.i.d. sample from an absolutely continuous log-concave distribution approximates a predetermined convex body in the logarithmic Hausdorff distance and in the Banach-Mazur distance.
Fresen, Daniel
core   +1 more source

Realizing in-house algorithm-driven free fibula flap set up within 24 hours: a pilot study evaluating accuracy with open-source tools

Frontiers in Surgery, 2023
ObjectiveThis study aims to critically evaluate the effectiveness and accuracy of a time safing and cost-efficient open-source algorithm for in-house planning of mandibular reconstructions using the free osteocutaneous fibula graft.
Andreas Vollmer, Babak Saravi, Babak Saravi, Niko Breitenbuecher, Urs Mueller-Richter, Anton Straub, Luka Šimić, Alexander Kübler, Michael Vollmer, Sebastian Gubik, Julian Volland, Stefan Hartmann, Roman C. Brands   +12 more
doaj   +1 more source

Isoperimetric inequalities in Euclidean convex bodies [PDF]

, 2013
In this paper we consider the problem of minimizing the relative perimeter under a volume constraint in the interior of a convex body, i.e., a compact convex set in Euclidean space with interior points.
Ritoré, Manuel, Vernadakis, Efstratios
core  

Spectral stability of higher order uniformly elliptic operators

, 2009
We prove estimates for the variation of the eigenvalues of uniformly elliptic operators with homogeneous Dirichlet or Neumann boundary conditions upon variation of the open set on which an operator is defined.
Burenkov, Victor I., Lamberti, Pier Domenico   +1 more
core   +1 more source

Approximating the Directed Hausdorff Distance

CoRR
The Hausdorff distance is a metric commonly used to compute the set similarity of geometric sets. For sets containing a total of $n$ points, the exact distance can be computed naïvely in $O(n^2)$ time. In this paper, we show how to preprocess point sets individually so that the Hausdorff distance of any pair can then be approximated in linear time ...
Oliver A. Chubet, Parth Parikh, Donald R. Sheehy, Siddharth S. Sheth   +3 more
openaire   +2 more sources