An approximation method for convolution curves of regular curves and ellipses by Young Joon Ahn

“…In this paper, we present a method of $ G^2 $ Hermite interpolation of convolution curves of regular plane curves and ellipses. We show that our approximant is also a $ C^1 $ Hermite interpolation of the convolution curve. …”
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Advanced ellipse overlap computation based on segment area of circles by Minhye Kim, Yongkuk Kim, Giphil Cho

Subjects: “…Ellipse…”
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Statistical Antenna Proximity Effect Modeling with Uncertainty Impedance Ellipses by Pedro Luis Carro, Jesús de Mingo, Paloma García-Dúcar, Antonio Valdovinos

“…Studying some reflection coefficient measurements performed with a vector network analyzer (VNA), a standard framework based on uncertainty ellipses is developed. Finally, the method is applied to some antenna prototypes, showing its advantages and reliability to quantify and compare proximity effects.…”
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A Fast and Robust Ellipse-Detection Method Based on Sorted Merging by Gangyi Wang, Guanghui Ren, Zhilu Wu, Yaqin Zhao, Lihui Jiang

“…A fast and robust ellipse-detection method based on sorted merging is proposed in this paper. …”
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La vitesse du récit : retour sur la genèse de quelques ellipses dans L’Éducation sentimentale by Stéphanie Dord-Crouslé

“…Comme il est impossible de réaliser l’analyse de la vitesse du récit au stade des scénarios, on propose de sélectionner un procédé particulier, l’ellipse, et d’en étudier la genèse en partant du texte définitif d’un unique roman, L’Éducation sentimentale. …”
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Unbiased Diffusion through a Linear Porous Media with Periodic Entropy Barriers: A Tube Formed by Contacting Ellipses by Yoshua Chávez, Marco-Vinicio Vázquez, Leonardo Dagdug

“…The effective one-dimensional reduction is used with distinct forms of a position-dependent diffusion coefficient, D(x), found in literature, to obtain expressions for (I) narrow escape times from a single open-ended tube, (II) its correspondent effective diffusion coefficient, both as functions of the eccentricity of the tube, ε, where ε = 0 returns the system to a spherical vesicle with two open opposite sides, and (III) finally, Lifson-Jackson formula that is used to compute expressions to assess the mean effective diffusion coefficient for a periodic elliptic channel formed by contacting ellipses, also as a function of the eccentricity. Mathematical expressions are presented and contrasted against computational simulations to validate them.…”
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Methodology for integrated analysis of vector- and spectroscopic bioimpedance methods by Bello José Luis García, Lafargue Alcibiades Lara, Ciria Héctor Camué, Luna Taira Batista, Leyva Yohandys Zulueta

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Richard III palimpseste.  Richard III de Verhelst mis en scène par Lagarde : l'ellipse du champ de bataille by Florence March

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Geometric design of two novel rotor profiles for Roots vacuum pumps with elliptical curve by Zhengqing Li, Xiaojun Wang, Xianhu Han, Yuhong Cai

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Spatial and Temporal Analysis of Earthquake Events in Kahramanmaraş on 6 February 2023 by Özer Akyürek

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“Thinking along the margins”: the choreography of trauma in The Body Artist, by Don DeLillo by Sylvie Bauer

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Fall detection via human posture representation and support vector machine by Kaibo Fan, Ping Wang, Yan Hu, Bingjie Dou

“…First, a human body extracted by a background subtraction technique is located by a minimum area-enclosing ellipse. Then, a normalized directional histogram is developed around the center of the ellipse to represent a human posture by multi-directional statistical analysis. …”
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Planar Monopoles with Different Radiator Shapes for UWB Body-Centric Wireless Communications by Y. Y. Sun, S. W. Cheung, T. I. Yuk

“…This paper presents a study on the performances of a group of planar monopoles using radiators of different shapes, such as triangle, rectangle, square, annual ring, circle, horizontal ellipse, vertical ellipse, pentagon, and hexagon, for ultra-wideband (UWB) body-centric wireless communications. …”
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On the coefficient domains of univalent functions by M. M. Elhosh

“…Coefficient domains for functions whose derivative has positive real part in the interior of an ellipse are given in this paper.…”
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Polarization Möbius strip at the tight focus of a generalized Poincaré beam by V.V. Kotlyar, A.A. Kovalev, A.M. Telegin

“…We demonstrate both theoretically and numerically that the initial beam has topological charge –1/2 and, in the center of the focal plane, there is a C-point (a point with circular polarization which makes a C-line along the optical axis) with the singularity index of –1/2 (star), whereas the vector of major axis of the polarization ellipse makes along a certain-radius circle around the optical axis a single-side polarization Möbius stripe of the order –3/2, which has three half-turnovers and one stitching, where two opposite major axis vectors of the polarization ellipse meet.…”
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An Improved Extrapolation Scheme for Truncated CT Data Using 2D Fourier-Based Helgason-Ludwig Consistency Conditions by Yan Xia, Martin Berger, Sebastian Bauer, Shiyang Hu, Andre Aichert, Andreas Maier

“…The forward projection of the optimized ellipse can be used to complete the truncation data. …”
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Reflection of circularly polarized light from a CdS semiconductor crystal near the exciton resonance taking into account spatial dispersion by Valeriy V. Yatsyshen, Irina I. Borodina

“…The use of circularly polarized light carries additional information due to the change in the polarization ellipse upon reflection. Aim. The paper presents the results of calculations of the frequency and angular spectra of the ellipsometric parameters of reflected light for a CdS semiconductor crystal near the exciton resonance, taking into account spatial dispersion. …”
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A method for estimating the polymer gel granule volume by an optical technique by M.G. Tokmachev

“…It is shown that by estimating the outline of an ellipse-shaped granule, the algorithm determines its volume with a relative error of 0.4 %, which corresponds to an error in determining the granule diameter of 1 pixel.…”
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Free In-Plane Vibration of Super-Elliptical Plates by Murat Altekin

“…A large variety of plate shapes ranging from an ellipse to a rectangle were examined. Two cases were considered: (1) a completely free, and (2) a point-supported plate. …”
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Least Squares Problems with Absolute Quadratic Constraints by R. Schöne, T. Hanning

“…We develop a generalized theory following Bookstein's conic-fitting and Fitzgibbon's direct ellipse-specific fitting. Under simple preconditions, it can be shown that a minimum always exists and can be determined by a generalized eigenvalue problem. …”
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