Results 31 to 40 of about 75,869 (97)
Advanced Intelligent Systems, Volume 7, Issue 12, December 2025.Herein, a deep reinforcement learning‐based multi‐UAV formation control approach is proposed. By optimizing the utilization of historical data through correcting of offline samples, the past experience is better leveraged and learning performance is improved.
Zhongkai Chen +4 more
wiley +1 more source
Synchronization of the frenet-serret linear system with a chaotic nonlinear system by feedback of states [PDF]
, 2005 "A synchronization procedure of the generalized type in the sense of Rulkov et al [Phys. Rev. E 51, 980 (1995)] is used to impose a nonlinear Malasoma chaotic motion on the Frenet-Serret system of vectors in the differential geometry of space curves ...
Solís Perales, Gualberto Celestino +2 more
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A Comparison of Skeletal Muscle Diffusion Tensor Imaging Tractography Seeding Methods
NMR in Biomedicine, Volume 38, Issue 12, December 2025.Diffusion‐tensor imaging (DTI) fiber tracking can be used to quantify skeletal muscle architecture, allowing studies of muscle structure‐function relationships. However, the options for defining the seed points (starting points for integrating the first eigenvector of the diffusion tensor) to form the fiber tracts have not been evaluated.
Bruce M. Damon +3 more
wiley +1 more source
TIME-LIKE AND SPACE-LIKE CURVES IN FRENET-SERRET FORMALISMS.
, 1985 The Frenet-Serret formalism for both time-like and space-like curves is studied. The Frenet-Serret vectors and the Frenet-Serret coefficients in both three and four dimensions are expressed in terms of "world" quantities.
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Multivariate Normal Distribution Method for a Virtual Cerebral Arterial Population
International Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 11, November 2025.A simple multivariate normal distribution (MVND) method for generating a population of distributed virtual arteries with multiple geometric features was developed. The distribution of geometric features in virtual arteries represents the distribution in real arteries. ABSTRACT Recently, the concept of a virtual population (Vpop) has attracted attention
Kazuyoshi Jin +6 more
wiley +1 more source
NMR in Biomedicine, Volume 38, Issue 9, September 2025.Diffusion Tensor Imaging tractography of skeletal muscle architecture is limited by the presence of noise in diffusion‐weighted images, leading to inaccuracies in muscle fiber direction and fiber‐tract curvature estimation. We evaluated the use of anisotropic image smoothing, threshold PCA denoising, and first eigenvector field smoothing to improve ...
Roberto A. Pineda Guzman +3 more
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 126, Issue 14, 30 July 2025.ABSTRACT Existing methods for constructing splines and Bézier curves on a Lie group G$$ G $$ involve repeated products of exponentials deduced from local geodesics, w.r.t. a Riemannian metric, or rely on general polynomials. Moreover, each of these local curves is supposed to start at the identity of G$$ G $$.
Andreas Müller
wiley +1 more source
Serret-Frenet Frame and Curvatures of Bézier Curves
, 2018 The aim of this study is to view the role of Bézier curves in both the Euclidean plane E 2 and Euclidean space E 3 with the help of the fundamental algorithm which is commonly used in Computer Science and Applied Mathematics and without ...
Esra Erkan +3 more
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Journal of Advances in Modeling Earth Systems, Volume 17, Issue 7, July 2025.Abstract Planetary flows are shaped by interactions at scales much smaller than the flows themselves, with mesoscale and sub–mesoscale eddies playing key roles in mixing, particle transport and tracer dispersion. To capture these effects, we introduce a stochastic formulation of the primitive equations within the Location Uncertainty (LU) framework ...
Francesco L. Tucciarone +3 more
wiley +1 more source
On the dimension of orthogonal projections of self‐similar measures
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract Let ν$\nu$ be a self‐similar measure on Rd$\mathbb {R}^d$, d⩾2$d\geqslant 2$, and let π$\pi$ be an orthogonal projection onto a k$k$‐dimensional subspace. We formulate a criterion on the action of the group generated by the orthogonal parts of the iterated function system on π$\pi$, and show that it ensures that the dimension of πν$\pi \nu$ is
Amir Algom, Pablo Shmerkin
wiley +1 more source