Results 71 to 80 of about 3,079 (209)
Hausdorff Dimension and mean porosity [PDF]
Mathematische Annalen, 1997 Let \(E \subset R^n\) be a compact set and assume that there exists \(c \in (0, 1/2)\) such that for every \(x \in E\) and all \(r \in (0, d(E)/2),\) the ball \(B^n(x,r)\) contains a ball of radius \(cr\) not meeting \(E \). Then no point of \(E\) can be a point of density and hence \(E \) has \(n\)-dimensional Lebesgue measure equal to \(0\). In fact,
Koskela, Pekka, Rohde, Steffen
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One‐Class Autoencoders for Porcelain Art Attribution: The Case of William Billingsley
Archaeometry, EarlyView.ABSTRACT This comprehensive study explores the application of advanced machine learning techniques, specifically one‐class autoencoders, for the authentication and attribution of English porcelain artworks. Focusing primarily on the works of William Billingsley (1758–1828), one of England's most celebrated porcelain decorators, we demonstrate how ...
Hassan Ugail +3 more
wiley +1 more source
SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
Computer Graphics Forum, EarlyView.We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier +5 more
wiley +1 more source
Hausdorff Dimension in Stochastic Dispersion
Journal of Statistical Physics, 2002 26 ...
Dolgopyat, D., Kaloshin, V., Koralov, L.
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Basis Networks: Learning basis functions for free‐form triangulations
Computer Graphics Forum, EarlyView.Abstract We present a framework for learning compactly supported basis functions that define tangent continuous surfaces based on coarse irregular triangle meshes. The basis functions are represented as MLPs. Smoothness of the basis functions is achieved by using the values of Loop basis functions as the parameterization of the surface.
T. Djuren, M. Alexa
wiley +1 more source
Survey on differential estimators for 3d point clouds
Computer Graphics Forum, EarlyView.Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger +4 more
wiley +1 more source
Establishing Shape Correspondences: A Survey
Computer Graphics Forum, EarlyView.Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley +1 more source
Hausdorff Dimension of Centered Sets
Real Analysis Exchange, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Simple Grid‐Maps Pipeline: Restructured, Accelerated and Upgraded
Computer Graphics Forum, EarlyView.Abstract Grid maps – spatially arranged small multiples – are a powerful tool to show complex geospatial data. Meulemans et al. (2020) introduced a pipeline for computing high‐quality grid maps that are shaped roughly according to their containing geographic outlines.
W. Meulemans
wiley +1 more source
Singular dimension of spaces of real functions
Le Matematiche, 2007 Let X be a space of measurable real functions defined on a fixed open set Ω ⊆ R^N . It is natural to define the singular dimension of X as the supremum of Hausdorff dimension of singular sets of all functions in X.We say that f ∈ X is a maximally ...
Darko Žubrinić
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