Results 1 to 10 of about 60,378 (240)

Kinematic Differential Geometry of a Line Trajectory in Spatial Movement

open access: yesAxioms, 2023
This paper investigates the kinematic differential geometry of a line trajectory in spatial movement. Specifically, we provide a theoretical expression of inflection line congruence, which is the spatial equivalent of the inflection circle of planar ...
Areej A. Almoneef, Rashad A. Abdel-Baky
doaj   +4 more sources

Physics-Informed Simulation and Time-Series Classification of Ground-Based Infrared Radiant-Intensity Sequences for Space Objects [PDF]

open access: yesSensors
Under ground-based observation geometry, infrared radiant-intensity sequences of space objects are jointly influenced by object micromotion, thermal radiation, time-varying viewing conditions, and atmospheric propagation.
Yubo Wang   +6 more
doaj   +2 more sources

Differential geometry properties of lines of curvature of parametric surfaces and their visualization

open access: yesGraphical Models, 2014
We present algorithms for computing the differential geometry properties of lines of curvature of parametric surfaces. We derive a unit tangent vector, curvature vector, binormal vector, torsion, and algorithms to evaluate their higher-order derivatives of lines of curvature of parametric surfaces. Among these quantities, it is shown that the curvature
Han Kyul Joo   +3 more
openaire   +4 more sources

Heat Kernels Estimates for Hermitian Line Bundles on Manifolds of Bounded Geometry

open access: yesMathematics, 2021
We consider a family of semiclassically scaled second-order elliptic differential operators on high tensor powers of a Hermitian line bundle (possibly, twisted by an auxiliary Hermitian vector bundle of arbitrary rank) on a Riemannian manifold of bounded
Yuri A. Kordyukov
doaj   +3 more sources

Electron Beams on the Brillouin Zone: A Cohomological Approach via Sheaves of Fourier Algebras

open access: yesUniverse, 2023
Topological states of matter can be classified only in terms of global topological invariants. These global topological invariants are encoded in terms of global observable topological phase factors in the state vectors of electrons. In condensed matter,
Elias Zafiris, Albrecht von Müller
doaj   +1 more source

Geometry of two-parametric family of linear line complexes

open access: yesLietuvos Matematikos Rinkinys, 2005
In this article differential geometry of two-parametric family of linear line complexes in the three-dimensional projective space is considered.
Kazimieras Navickis
doaj   +3 more sources

REAL TIME PROCESSING FOR EPIPOLAR RESAMPLING OF LINEAR PUSHBROOM IMAGERY BASED ON THE FAST ALGORITHM FOR BEST SCAN LINE SEARCHING [PDF]

open access: yesThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2013
The epipolar resampling of linear pushbroom imagery is essential for automatic DEM extraction and feature collection. Due to the special imaging geometry of linear array scanners, the epipolar geometry of linear pushbroom imagery is very complex. In this
X. Geng, Q. Xu, S. Xing, C. Lan, Y. Hou
doaj   +1 more source

Simplified modeling of EM field coupling to complex cable bundles [PDF]

open access: yesAdvances in Radio Science, 2010
In this contribution, the procedure "Equivalent Cable Bundle Method" is used for the simplification of large cable bundles, and it is extended to the application on differential signal lines.
B. Schetelig   +5 more
doaj   +1 more source

A direct relation between bending energy and contact angles for capillary bridges

open access: yesComptes Rendus. Mécanique, 2023
The didactic object of these developments on differential geometry of curves and surfaces is to present fine and convenient mathematical strategies, adapted to the study of capillary bridges. The common thread is to be able to calculate accurately in any
Millet, Olivier, Gagneux , Gérard
doaj   +1 more source

Design of developable surfaces using the given data points

open access: yesJournal of Advanced Mechanical Design, Systems, and Manufacturing, 2021
Many products such as ships, buildings, and clothes contain developable surfaces generated by sweeping a straight line along a three-dimensional curve.
Kotaro YOSHIDA   +4 more
doaj   +1 more source

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