Kinematic Differential Geometry of a Line Trajectory in Spatial Movement
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
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Physics-Informed Simulation and Time-Series Classification of Ground-Based Infrared Radiant-Intensity Sequences for Space Objects [PDF]
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
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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
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Heat Kernels Estimates for Hermitian Line Bundles on Manifolds of Bounded Geometry
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
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Electron Beams on the Brillouin Zone: A Cohomological Approach via Sheaves of Fourier Algebras
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
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Geometry of two-parametric family of linear line complexes
In this article differential geometry of two-parametric family of linear line complexes in the three-dimensional projective space is considered.
Kazimieras Navickis
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REAL TIME PROCESSING FOR EPIPOLAR RESAMPLING OF LINEAR PUSHBROOM IMAGERY BASED ON THE FAST ALGORITHM FOR BEST SCAN LINE SEARCHING [PDF]
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
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Simplified modeling of EM field coupling to complex cable bundles [PDF]
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
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A direct relation between bending energy and contact angles for capillary bridges
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
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Design of developable surfaces using the given data points
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
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