A Fast and Robust Ellipse-Detection Method Based on Sorted Merging by Gangyi Wang, Guanghui Ren, Zhilu Wu, Yaqin Zhao, Lihui Jiang

“…This method first represents the edge bitmap approximately with a set of line segments and then gradually merges the line segments into elliptical arcs and ellipses. To achieve high accuracy, a sorted merging strategy is proposed: the merging degrees of line segments/elliptical arcs are estimated, and line segments/elliptical arcs are merged in descending order of the merging degrees, which significantly improves the merging accuracy. …”
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Research of Tooth Surface Modification Scheme of Traction Gear Under Multi-condition by Shi Xiaochun, He Weidong, Shan Lijun

“…A new type of three circular arc tooth surface modification scheme with three circular arcs is designed on the basis of the different gear meshing position,load distribution and deformation characteristics of the three different conditions. …”
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Parametric study of the deformation of transversely isotropic discs under diametral compression by Christos F. Markides, Stavros K. Kourkoulis

“…The disc is assumed to be loaded by a parabolic distribution of compressive radial stresses along two finite arcs of its periphery in the absence of any tangential (frictional) stresses. …”
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Assessment of Learners’ Motivation during Interactions with Serious Games: A Study of Some Motivational Strategies in Food-Force by Lotfi Derbali, Claude Frasson

“…We proposed, therefore, the use of physiological sensors, namely, heart rate, skin conductance, and electroencephalogram (EEG), as well as a theoretical model of motivation (Keller’s ARCS model) to evaluate six motivational strategies selected from a serious game called Food-Force. …”
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The Optimal Hydraulic Design of Centrifugal Impeller Using Genetic Algorithm with BVF by Xin Zhou, Yongxue Zhang, Zhongli Ji, Hucan Hou

“…Another 5 impellers with the same parameters were also designed by using single arc, double arcs, triple arcs, logarithmic spiral, and linear-variable angle spiral as blade profiles to make comparisons. …”
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A proof of some Schützenberger-type results for Eulerian paths and circuits on digraphs by Byoung-Song Chwe

“…This paper shows that the number of even Eulerian paths equals the number of odd Eulerian paths when the number of arcs is at least twice the number of vertices of a digraph.…”
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Deadlock Prevention Policy with Behavioral Optimality or Suboptimality Achieved by the Redundancy Identification of Constraints and the Rearrangement of Monitors by Liang Hong, YiFan Hou, JunFeng Jing, AnRong Wang, Dmitry A. Litvin

“…For the possible existence of new siphons generated after the first phase, we add monitors with their output arcs first pointed to source transitions at the second phase to avoid new siphons generating and then rearrange the output arcs step by step on condition that liveness is preserved. …”
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Field‐Aligned Currents Induced by Magnetopause Motions Under Pressure Perturbations by Boyi Wang, Xinyu Xu, Yukitoshi Nishimura, Yen‐Jung Wu, Zhonghua Xu, Primož Kajdic, De‐Sheng Han, Yi Wang, Xueshang Feng

“…Abstract In this work, we identified 65 auroral arcs that stretched out from the equatorward boundary of auroral oval with azimuthal extensions, and investigated their upstream triggering, by utilizing conjunctions between the THEMIS probes and the all‐sky imagers at AGO P1 and South Pole stations. …”
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Alpine, Variscan, eo-Variscan belts: comparison between hot and cold orogens from the examples of French segments by Faure, Michel

“…The oceanic convergence stage was associated with the development of arcs and back-arc basins in the Variscan belt but magmatic arcs are missing in the W. …”
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Size, spines, and primes: the drivers of collar spine numbers among echinostome trematodes by Bronwen Presswell, Priscila M. Salloum, Jerusha Bennett, Katherine E. Buschang, Robert Poulin

“…These trematodes possess a ring of spines around their anterior sucker; in some families, they form 2 arcs on either side of the sucker, with a central gap, whereas in other families, they form a continuous collar with no gap. …”
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Optimization of spline parameters in approximation of multivalued functions by D. A. Karpov, V. I. Struchenkov

“…Here, since the spline elements comprise circular arcs conjugated by line segments, the spline is a single-valued function. …”
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QK Spaces on the Unit Circle by Jizhen Zhou

“…Finally, we obtain a dyadic characterization of functions in QK(∂D) spaces in terms of dyadic arcs on the unit circle.…”
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Workflow Modelling and Analysis Based on the Construction of Task Models by Glória Cravo

“…We describe the structure of a workflow as a graph whose vertices represent tasks and the arcs are associated to workflow transitions in this paper. …”
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Case of Crack Dynamics and Wallner Line in Fracture Analysis by Xiaolu Zhu

“…When the crack encounters a discontinuous surface, a transverse stress wave is generated, thus forming a second set of concentric arcs centered at the wave source. This makes it possible for the shellfish lines to intersect. …”
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Research on NC Milling Process of Worm Gears based on Generating Method by Hongyu Han, Aijing Li, Leijie Wang, Yingliang Yu

“…By distributing the allowable cumulative error of worm gear pitch evenly on several arcs of worm gear pitch circle， the accuracy of worm gear pitch and transmission is greatly improved， and thus the transmission stability is improved. …”
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Controlling a model for bone marrow dynamics in cancer chemotherapy by Urszula Ledzewicz, Heinz Schättler

“…We apply the Maximum Principle, followed by high-order necessaryconditions for optimality of singular arcs and give sufficient conditions for optimality based on the method of characteristics. …”
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Bounding Regions to Plane Steepest Descent Curves of Quasiconvex Families by Marco Longinetti, Paolo Manselli, Adriana Venturi

“…These regions are bounded by arcs of involutes of ∂K and satisfy many inclusions properties. …”
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Study on the Finite Element Analysis Method for Contact Stress of Rolling Bearing by Liu Dong, Yan Ming, Jin Hao, Zou Bin

“…The results show that,the mesh non-matching causes larger error for arcs and cambered surfaces contact problem,the effect of mesh matching is obvious; the mesh matching and compacting can significantly improve the accuracy of analysis for Hertz contact problem; a better analysis precision can be achieved when the mesh matched and non- compacted rolling bearing model is used. …”
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Frequency Variation of the AC Order Parameter Susceptibility of the Metamagnetic Ising Model by Gul Gulpinar

“…In parallel with these characteristics of the order parameter relaxation, Cole-Cole plots (χs′′-χs′) are shown to consist of two arcs in the metamagnetic phase and of a semicircle in the paramagnetic phase.…”
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Arctiin Protects Chondrocytes from Interleukin-1β-Induced Inflammation and Apoptosis by RNA Sequence In vivo and In vitro by Yong-Jia Song, Jia-Min Bao, Zeng-Qiao Zhang, Yun-Xiang Hai, Hao-Nan Wen, Tian-Jun Zhai, Wei Feng, Min Song

“…However, the mechanism by which ARC exerts its protective effects in OA is not fully understood. …”
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