Results 51 to 60 of about 8,300 (176)
Visibility and Intersection Density for Boolean Models in Hyperbolic Space
ABSTRACT For Poisson particle processes in hyperbolic space we introduce and study concepts analogous to the intersection density and the mean visible volume, which were originally considered in the analysis of Boolean models in Euclidean space. In particular, we determine a necessary and sufficient condition for the finiteness of the mean visible ...
Tillmann Bühler +2 more
wiley +1 more source
ABSTRACT This study addresses the need to understand human engagement with empathic Generative Artificial Intelligence (GenAI) digital companions (DC), as these systems increasingly fulfil social and emotional roles in daily life. Motivated by the rapid adoption of DC technologies and their potential to reshape human–AI relationships, the study applies
Aitor Ezker‐Galech +3 more
wiley +1 more source
This research proposes a physics‐informed generative machine learning framework to design SHA800, a crack‐free γ′‐strengthened nickel‐based superalloy for laser powder bed fusion, achieving a 43% γ′ volume fraction and 587 HV0.2 hardness. ABSTRACT Fabricating γ′‐strengthened nickel‐based superalloys via laser powder bed fusion (LPBF) faces significant ...
Kai Guo +11 more
wiley +1 more source
Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley +1 more source
ABSTRACT Purpose To accelerate MRI further, rapid B0 field modulations can be applied during oversampled readout to capture additional physical information, as in Wave‐CAIPI/FRONSAC/local B0 coils modulation techniques. These methods, however, turn the Fourier readout into a non‐Fourier‐encoded dimension that cannot be reconstructed by FFT, posing ...
Rui Tian, Klaus Scheffler
wiley +1 more source
ABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2$$ {D}_2 $$) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations).
Sune Nørhøj Jespersen +1 more
wiley +1 more source
ABSTRACT Purpose To present a novel, nonlinear subspace modeling and joint k–q‐space reconstruction technique for high‐resolution, multi‐band, multi‐shell diffusion‐weighted imaging (DWI). Methods High b‐value (> 1000 s/mm2), high resolution DWI has the drawback of generally low signal‐to‐noise ratios (SNRs).
Julius Glaser +4 more
wiley +1 more source
ABSTRACT Purpose Magnetic Resonance Fingerprinting (MRF) enables rapid quantitative imaging, but high‐resolution 3D reconstructions remain computationally expensive due to the NUFFTs required at every iteration, and the commonly used Locally Low Rank (LLR) regularization becomes ineffective at high acceleration.
Yonatan Urman +4 more
wiley +1 more source
ABSTRACT Purpose To develop a balanced SSFP (bSSFP) sequence for pulmonary 129Xe dissolved‐phase imaging based on a previously described double‐echo sequence facilitating separation into red blood cell and membrane signals, to test its feasibility and compare its SNR performance and imaging results to an analogous FLASH sequence.
Agilo L. Kern +4 more
wiley +1 more source
ABSTRACT Purpose To develop a unified image reconstruction framework that bridges real‐time and gated cardiac MRI, including quantitative MRI. Methods We introduce generative multitasking, which learns subject‐ and dataset‐specific implicit neural temporal bases from sequence timings and an interpretable latent space for cardiac and respiratory motion.
Xinguo Fang, Anthony G. Christodoulou
wiley +1 more source

