Results 41 to 50 of about 338 (182)

Basis Networks: Learning basis functions for free‐form triangulations

open access: yesComputer 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

Packing measures and dimensions on cartesian products [PDF]

open access: yes, 2013
Packing measures Pg(E) and Hewitt-Stromberg measures vg(E) and their relatives are investigated. It is shown, for instance, that for any metric spaces X, Y and any Hausdorff functions f, g vg (X) • Ph (Y) ≤ Pgh (X x Y).
Zindulka, Ondrej
core   +1 more source

LeafFit: Plant Assets Creation from 3D Gaussian Splatting

open access: yesComputer Graphics Forum, EarlyView.
Abstract We propose LeafFit, a pipeline that converts 3D Gaussian Splatting (3DGS) of individual plants into editable, instanced mesh assets. While 3DGS faithfully captures complex foliage, its high memory footprint and lack of mesh topology make it incompatible with traditional game production workflows. We address this by leveraging the repetition of
Chang Luo, Nobuyuki Umetani
wiley   +1 more source

On packing measures and a theorem of Besicovitch

open access: yes, 2020
Besicovitch showed that if a set is null for the Hausdorff measure associated to a given dimension function, then it is still null for the Hausdorff measure corresponding to a smaller dimension function.
Shmerkin, P, García, I
core   +1 more source

A Simple Grid‐Maps Pipeline: Restructured, Accelerated and Upgraded

open access: yesComputer 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

On the Hausdorff and packing measures of slices of dynamically defined sets [PDF]

open access: yesJournal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2016
Let 1 \le m < n be integers, and let K \subset \mathbb{R}^{n} be a self-similar set satisfying the strong separation condition, and with dim
openaire   +2 more sources

Deep learning assisted high‐resolution microscopy image processing for phase segmentation in functional composite materials

open access: yesJournal of Microscopy, EarlyView.
Abstract In the domain of battery research, the processing of high‐resolution microscopy images is a challenging task, as it involves dealing with complex images and requires a prior understanding of the components involved. The utilisation of deep learning methodologies for image analysis has attracted considerable interest in recent years, with ...
Ganesh Raghavendran   +7 more
wiley   +1 more source

Another example of the mutual singularity of multifractal measures

open access: yes, 2021
We propose an example for which the multifractal Hausdorff and packing measures are mutually ...
Samti, Amal, Douzi, Zied, Selmi, Bilel
core   +1 more source

Structural determinants of re‐entrant drivers in atrial fibrillation: insights from digital twins derived from 3D micrometre‐resolution imaging of human heart

open access: yesThe Journal of Physiology, EarlyView.
Abstract figure legend Digital heart models of human donor atria with cardiac co‐morbidities revealed that regions with AWT variation, aligned myofibres adjacent to disorganised zones and fibrotic borders promoted the localisation and stability of RDs. AWT had a global influence, whereas fibre orientation and fibrosis exerted chamber‐specific regional ...
Anuradha Kulathilaka   +8 more
wiley   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

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