Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavity by Weaam Alhejaili, Munirah Alotaibi, Abdelraheem M. Aly

“…Two cases of boundary conditions included $ \left({T}_{h}\&{C}_{h}\right) $ on top/bottom walls and $ \left({T}_{c}\&{C}_{c}\right) $ on vertical walls and inner ellipse for C1. The boundary walls of a curvilinear cavity were kept at $ \left({T}_{h}\&{C}_{h}\right) $ and the inner ellipse was maintained at $ \left({T}_{c}\&{C}_{c}\right) $ for C2. …”
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Study on the evolution of the spatial patterns and driving factors of national agricultural cultural heritage in China. by Lifei Xu, Yuyu Liao, Jun Liu

“…During the study period, the X axis of the standard deviation ellipse was always greater than the Y axis, but the difference between the X and Y axes was small, indicating that the spatial distribution direction was northeast-southwest, but the directionality was weak. …”
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Constraints for Jaccard index-based rotational symmetry focus position in binary images by N.A. Lomov, O.S. Seredin, D.V. Liakhov, O.A. Kushnir

“…The smallest circumscribed circle or ellipse and sets of concentric circles and ellipses produced by the principal component analysis were used as the approximating figure. …”
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Updated Methods for Seed Shape Analysis by Emilio Cervantes, José Javier Martín, Ezzeddine Saadaoui

“…The comparison of the seed images to a geometrical figure (circle, cardioid, ellipse, ellipsoid, etc.) provides a precise quantification of shape. …”
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Intelligent Industrial Design System Based on Spatial Digital Technology by Yingbin Jian, Yunpeng Li, Lijie Wang, Shenghuan Dong

“…In addition, this paper studies defect reconstruction methods based on circle, ellipse, and polygon models. Finally, through experimental research, this paper verifies that the intelligent industrial design system based on spatial digital technology has a good effect in industrial design and can effectively improve the intelligence of modern industrial design.…”
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A Color-Image Encryption Scheme Using a 2D Chaotic System and DNA Coding by Haidar Raad Shakir

“…This paper proposes a method of encrypting images with password protection for secure sharing based on deoxyribonucleic acid (DNA) sequence operations and the tangent-delay ellipse reflecting the cavity-map system (TD-ERCS). …”
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Enhancing Artificial Bee Colony Algorithm with Self-Adaptive Searching Strategy and Artificial Immune Network Operators for Global Optimization by Tinggui Chen, Renbin Xiao

“…For example, ABC can easily get trapped in the local optimum when handing in functions that have a narrow curving valley, a high eccentric ellipse, or complex multimodal functions. As a result, we proposed an enhanced ABC algorithm called EABC by introducing self-adaptive searching strategy and artificial immune network operators to improve the exploitation and exploration. …”
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Analysis for Resolution of Bistatic SAR Configuration with Geosynchronous Transmitter and UAV Receiver by Yicheng Jiang, Zhuoqun Wang

“…Due to the extreme platform velocity differences, the ellipse orbital movement of GEOSAR makes this BiSAR configuration not like the conventional spaceborne BiSAR. …”
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Empirically Bounding of Space Booms with Tape Spring Hinges by A.L. Jennings, J. Black, C. Allen

“…Results show the first bounce of deployment is nearly bounded by a four parameter ellipse. The ellipses of similar folds are similar also, suggesting that a model can be developed. …”
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An Efficient Computation of Effective Ground Range Using an Oblate Earth Model by Dalal A. Maturi, Malik Zaka Ullah, Shahid Ahmad, Fayyaz Ahmad

“…Explicit formulas are developed to calculate the coordinates of center of the ellipse as well as major and minor axes which are necessary ingredients for the calculation of effective ground range.…”
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Experimental Studies on the Changes in Resistivity and Its Anisotropy Using Electrical Resistivity Tomography by Tao Zhu, Jian-Guo Zhou, Jin-Qi Hao

“…Then we constructed the residual resistivity images using electrical resistivity tomography (ERT) and plotted the diagrams of apparent resistivity anisotropy coefficient (ARAC) λ∗ and the included angle α between the major axis of apparent resistivity anisotropy ellipse and the axis of load with pressure and effective depth. …”
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Study on Mechanical Effect and Plastic Zone Distribution of Tunnel Surrounding Rock in the Presence of Various Expansion Approaches by Bowen Duan, Jun Yang

“…With the rise of the lateral pressure coefficient, the distribution pattern of the plastic zone changes from X-type to butterfly-type and then to ellipse-type.…”
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A Method of Arrival Angle Optimization in Single-Station Positioning Based on Statistical Features by Ting Li, Tongxin Liu, Xuehai Yang, Guobin Yang, Chunhua Jiang, Chongzhe Lao

“…By utilizing the extraction of the main peak area of the probability density distribution of the measured angle, as well as the two-dimensional Gaussian fitting and confidence ellipse bounding, the angle measurement results affected by colored noise interference and the noise points with large deviations can be sequentially filtered out. …”
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Ecological Vulnerability Assessment Integrating the Spatial Analysis Technology with Algorithms: A Case of the Wood-Grass Ecotone of Northeast China by Zhi Qiao, Xi Yang, Jun Liu, Xinliang Xu

“…Through the standard deviational ellipse, the variation of ecological vulnerability can be spatially explicated. …”
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DEM Simulation of Biaxial Compression Experiments of Inherently Anisotropic Granular Materials and the Boundary Effects by Zhao-Xia Tong, Lian-Wei Zhang, Min Zhou

“…To verify the DEM models, two series of biaxial compression tests on ellipse-shaped steel rods are used. The comparisons on the stress-strain relationship, strength, and deformation pattern of experiments and simulations indicate that the DEM models are able to capture the key macro- and micromechanical behavior of inherently anisotropic granular materials with high fidelity. …”
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Experimental Study of Multiple Physical Parameters Monitoring during Uniaxial Loading Process of Sandstone by Yongchuan Zhao, Tianhong Yang, Wenhao Shi

“…Because of the top and bottom constraints, the horizontal displacement field shows axis symmetrical distribution of double half-ellipse like a drum. During the yielding phase and the rupture moment, the average temperature rises obviously because of the heat from the friction of the rupture surface, and the temperature field also appears the phenomenon of differentiation; in the meantime, a large amount of AE events occur and the proportion of high energy events increases; further, the deformation field is significantly gathered near the ruptured position. …”
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High-Precision Heading Determination Based on the Sun for Mars Rover by Yinhu Zhan, Shaojie Chen, Donghan He

“…The sun sensor and inclinometer alignment model are then described in detail to maintain a high-precision horizon datum, and a strict sun image centroid-extraction algorithm combining subpixel edge detection with circle or ellipse fitting is presented. A prototype comprising a sun sensor, electronic inclinometer, and chip-scale atomic clock is developed for testing the algorithms, models, and methods presented in this paper. …”
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New Cubic Trigonometric Bezier-Like Functions with Shape Parameter: Curvature and Its Spiral Segment by Abdul Majeed, Muhammad Abbas, Amna Abdul Sittar, Mohsin Kamran, Saba Tahseen, Homan Emadifar

“…The proposed CT-Bézier curve can be used to represent ellipse. Using proposed basis functions, we have constructed the spiral segment which is very useful to construct fair curves and desirable to design trajectories of mobile robots, highway, and railway routes’ designing.…”
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Experimental Study on the Deterioration Rules of Anchoring Performance of Rock Mass under Different Joints Distribution by Wantao Ding, Minglei Hou, Lei Chen, Keqi Liu, Rui Chen, Yang Wang, Mingbin Wang

“…The results showed that the pitting corrosion is the main form of the anchor bar corrosion of an anchoring rock mass with different joints, and the shape of the etch pit is reverse semi-ellipse. With the increase of pitting ratio, the ultimate bond strength and the corresponding slide distance decrease gradually. …”
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Mémoire et Denkraum. Réflexions épistémologiques sur la Kulturwissenschaftliche Bibliothek Warburg by Maud Hagelstein

“…Véritable laboratoire pratique où le savoir était mis à l’épreuve, la salle de lecture en ellipse de la bibliothèque constituait comme une « arène » où les chercheurs mettaient à profit les livres et leur agencement si particulier.…”
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