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Journal articles on the topic 'Regular surface'

Author: Grafiati

Published: 4 June 2021

Last updated: 27 July 2025

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1

TUNÇ, Emrah, and Emin ÖZYILMAZ. "THE DARBOUX TRIHEDRONS OF REGULAR CURVES ON A REGULAR SURFACE." International Electronic Journal of Geometry 7, no. 2 (2014): 61–71. http://dx.doi.org/10.36890/iejg.593983.

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2

FIDAN, MEHMET, and AYHAN SARIOĞLUGIL. "GEOMETRY OF THE FOCAL SURFACES OF THE INVERSE SURFACE OF A REGULAR SURFACE IN E3." Journal of Science and Arts 22, no. 3 (2022): 571–92. http://dx.doi.org/10.46939/j.sci.arts-22.3-a05.

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The purpose of this paper, first, is to give a definition of the focal surfaces of the inverse of a given regular surface in E3. Second, some new characteristic properties of the focal surfaces are to express depending on the algebraic invariants of the inverse surface of a given regular surface. In the last part of the study, we gave examples supporting our claims and plotted their graphics with the help of Maple software.

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3

DE LAZZER, A., and D. LANGBEIN. "Liquid surface in regular N-pods." Journal of Fluid Mechanics 358 (March 10, 1998): 203–21. http://dx.doi.org/10.1017/s0022112097008173.

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The shape of liquid surfaces in regular N-pods in the absence of gravity is considered. A liquid volume in the vertex of a regular N-pod wets the adjacent faces if the sum of the liquid's contact angle γ with the faces and half the dihedral angle α between adjacent faces is smaller than π/2. A suggestion for why the surface shape in the wedge approaches its cylindrical shape at infinity exponentially is given. The range of this exponential decrease is related to the curvature of the meniscus and the angles α and γ: The decrement of the decrease generally shows a weak dependence on α+γ, predomi

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4

Романова, В., and V. Romanova. "Visualization of Regular Polyhedrons during Their Formation." Geometry & Graphics 7, no. 1 (2019): 55–67. http://dx.doi.org/10.12737/article_5c91ffd0916d52.90296375.

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In this work the automated formation of surfaces correct to convex polyhedrons of Platon and two regular not convex star-shaped polyhedrons of Kepler-Poinsot by the kinematic method. Researches on realization of a goal were carried out in the environment of AutoCAD with use of the programs developed in the functional Autolisp programming language which is built in AutoCAD. The AutoLisp language and the AutoCAD environment are chosen for achievement of a goal as they allow showing bodies in the movement. The technique of formation of electronic models of the polyhedrons necessary for performanc

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5

Ye, Tie Li, He Li, and Qing Liang Zeng. "Feature-Based Identification and Reconstruction of Regular Curves and Surfaces." Applied Mechanics and Materials 184-185 (June 2012): 206–9. http://dx.doi.org/10.4028/www.scientific.net/amm.184-185.206.

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Based on the preprocessed measuring data, this paper proposes a method for identification and reconstruction of regular curves and surfaces including straight line(segment), circle(arc), four-sided plane and right cylindrical surface. Considering the geometric feature of each kind of regular curve or surface, the paper studies the corresponding algorithm for identifying the curve or surface point set, reconstructs the curve or surface and gives the parameter equation.

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6

Prishlyak, Oleksandr. "Regular Octagons in Hyperbolic Geometry." In the world of mathematics, no. 1 (2) (2024): 88–103. https://doi.org/10.17721/1029-4171.2024/2.10.

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When constructing hyperbolic structures on closed surfaces, one can use hyperbolic geometry (Lobachevsky geometry) on the plane. To do this, the surface must be represented as a 2n-gon on the hyperbolic plane, and a discrete group action, which is a subgroup of the movements of the hyperbolic plane, must be defined, for which the 2n-gon serves as a fundamental domain. If such a surface is a double torus (an oriented surface of genus 2), it can be obtained by gluing opposite sides of an octagon. In fact, the Lobachevsky plane is divided into octagons. The presence of symmetries simplifies calcu

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7

Goulden, I. P., Jin Ho Kwak, and Jaeun Lee. "Distributions of regular branched surface coverings." European Journal of Combinatorics 25, no. 3 (2004): 437–55. http://dx.doi.org/10.1016/j.ejc.2002.11.001.

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8

King, Simon A. "Regular flip equivalence of surface triangulations." Topology and its Applications 127, no. 1-2 (2003): 169–73. http://dx.doi.org/10.1016/s0166-8641(02)00058-5.

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9

Bonetti, S., A. D. Bragg, and A. Porporato. "On the theory of drainage area for regular and non-regular points." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2211 (2018): 20170693. http://dx.doi.org/10.1098/rspa.2017.0693.

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The drainage area is an important, non-local property of a landscape, which controls surface and subsurface hydrological fluxes. Its role in numerous ecohydrological and geomorphological applications has given rise to several numerical methods for its computation. However, its theoretical analysis has lagged behind. Only recently, an analytical definition for the specific catchment area was proposed (Gallant & Hutchinson. 2011 Water Resour. Res. 47 , W05535. ( doi:10.1029/2009WR008540 )), with the derivation of a differential equation whose validity is limited to regular points of the wate

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10

Huang, Jianbing, and Chia-Hsiang Menq. "Identification and Characterization of Regular Surfaces from Unorganized Points by Normal Sensitivity Analysis." Journal of Computing and Information Science in Engineering 2, no. 2 (2002): 115–24. http://dx.doi.org/10.1115/1.1509075.

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In this paper, the concept of free motion subspace is introduced and utilized to characterize the special kinematic properties of regular surfaces, including planes, natural quadrics, and regular swept surfaces. Based on the concept, a general approach is developed to automatically identify the surface type and calculate the associated geometric parameters of an unknown surface from unorganized measurement points. In the approach, a normal sensitivity matrix, that characterizes the normal perturbation of surface points under differential motions, is derived. With the normal sensitivity matrix,

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11

Xu, Xiang, Zekang Feng, Nengqi Xiao, Xinze Zhao, and Zuyue Zhang. "Planar Reconstruction of Regular Surfaces’ Three-Dimensional Morphology and Tribology Application." Lubricants 11, no. 9 (2023): 398. http://dx.doi.org/10.3390/lubricants11090398.

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The three-dimensional morphology of frictional sub-surfaces holds significant importance for studying tribological issues. However, the uniformity of the horizontal datum in 3D scanning is limited for curved surfaces, resulting in the inability to obtain accurate contour characterization parameters from the scanning results. This study aims to address this issue by constructing regular surface equations and normalizing the 3D profiler scanning results. By fitting the data, a “plane” surface representative of the surface features is obtained, and the paper demonstrates this approach on the surf

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12

Wu, Shin-Ting, and Lenimar N. Andrade. "Marching along a regular surface/surface intersection with circular steps." Computer Aided Geometric Design 16, no. 4 (1999): 249–68. http://dx.doi.org/10.1016/s0167-8396(98)00048-x.

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13

Özyilmaz, Emin. "The Darboux Trihedrons of Regular Curves on a Regular Time-Like Surface." Mathematical and Computational Applications 19, no. 2 (2014): 172–83. http://dx.doi.org/10.3390/mca19020172.

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14

Romanova, Viktoryna A. "Vizualizing of semi-regular polyhedrons in AutoCAD environment." Structural Mechanics of Engineering Constructions and Buildings 15, no. 6 (2019): 449–57. http://dx.doi.org/10.22363/1815-5235-2019-15-6-449-457.

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The paper examines the automated formation by the kinematic method of the surfaces of Archimedes' semi-regular polyhedra of three forms: truncated tetrahedron, truncated octahedron and truncated icosahedron. To solve this problem, AutoCAD and the built-in programming language AutoLISP were used. Each of these five semi-regular polyhedra of Archimedes has faces of two kinds. In this regard, the surface of a separate polyhedron is considered to consist of two structural forms. Each structural shape is formed in the AutoCAD environment from the compartments of the surfaces of the faces of the pol

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15

Yoon, Dae, and Hyun Lee. "Design and connection of parametric surfaces through given regular curves." Filomat 38, no. 8 (2024): 2721–33. https://doi.org/10.2298/fil2408721y.

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This study focused on the connections between two parametric surfaces through the given regular curves. Accordingly, we analyzed a C0-continuous connected surface in terms of the marching-scale functions of these surfaces. It should be noted that, in general, differentiability along a common curve for a0 C-continuously connected surface is not guaranteed. To solve this problem, we introduced a1 C-continuous connection and proved its existence for such continuous connections. These connections are improved versions of the1 G-connection of developable surfaces introduced by Paluszny. Moreover, w

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16

Hara, Nobuo. "F-blowups of F-regular surface singularities." Proceedings of the American Mathematical Society 140, no. 7 (2012): 2215–26. http://dx.doi.org/10.1090/s0002-9939-2011-11074-8.

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17

Butashin, A. V., V. M. Kanevsky, A. E. Muslimov, et al. "Sapphire substrates with a regular surface relief." Crystallography Reports 59, no. 5 (2014): 732–35. http://dx.doi.org/10.1134/s1063774514050022.

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18

Stępień, Piotr. "Grinding forces in regular surface texture generation." International Journal of Machine Tools and Manufacture 47, no. 14 (2007): 2098–110. http://dx.doi.org/10.1016/j.ijmachtools.2007.05.004.

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19

Itoh, Jin-ichi, and Tudor Zamfirescu. "Acute Triangulations of the Regular Icosahedral Surface." Discrete and Computational Geometry 31, no. 2 (2004): 197–206. http://dx.doi.org/10.1007/s00454-003-0805-8.

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20

Itoh, Jin-ichi, and Tudor Zamfirescu. "Acute triangulations of the regular dodecahedral surface." European Journal of Combinatorics 28, no. 4 (2007): 1072–86. http://dx.doi.org/10.1016/j.ejc.2006.04.008.

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21

Shu, G., J. Liu, A. S. T. Chiang, and R. W. Thompson. "Transparent Zeolite Films with Regular Surface Patterns." Advanced Materials 18, no. 2 (2006): 185–89. http://dx.doi.org/10.1002/adma.200401980.

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22

Kwak, Jin Ho, Jaeun Lee, and Young-hee Shin. "Balanced regular coverings of a signed graph and regular branched orientable surface coverings over a non-orientable surface." Discrete Mathematics 275, no. 1-3 (2004): 177–93. http://dx.doi.org/10.1016/s0012-365x(03)00105-5.

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23

FUERTES, YOLANDA, and ALEXANDER MEDNYKH. "GENUS 2 SEMI-REGULAR COVERINGS WITH LIFTING SYMMETRIES." Glasgow Mathematical Journal 50, no. 3 (2008): 379–94. http://dx.doi.org/10.1017/s001708950800428x.

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AbstractIn this paper, we obtain algebraic equations for all genus 2 compact Riemann surfaces that admit a semi-regular (or uniform) covering of the Riemann sphere with more than two lifting symmetries. By a lifting symmetry, we mean an automorphism of the target surface which can be lifted to the covering. We restrict ourselves to the genus 2 surfaces in order to make computations easier and to make possible to find their algebraic equations as well. At the same time, the main ingredient (Main Proposition) depends neither on the genus, nor on the order of the group of lifting symmetries. Beca

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24

Stepien, P. "Mechanism of grinding wheel surface reproduction in regular surface texture generation." Surface Engineering 24, no. 3 (2008): 219–25. http://dx.doi.org/10.1179/174329408x282596.

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25

MITSUI, KENTARO. "BIMEROMORPHIC GEOMETRY OF RIGID ANALYTIC SURFACES." International Journal of Mathematics 22, no. 04 (2011): 483–513. http://dx.doi.org/10.1142/s0129167x11006878.

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26

Ouarab, Soukaina. "Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E 3." Abstract and Applied Analysis 2021 (March 31, 2021): 1–8. http://dx.doi.org/10.1155/2021/5526536.

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In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame of a curve in E 3 . It concerns TN-Smarandache ruled surface, TB-Smarandache ruled surface, and NB-Smarandache ruled surface. We investigate theorems that give necessary and sufficient conditions for those special ruled surfaces to be developable and minimal. Furthermore, we present examples with illustrations.

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27

Sereda, Vladislav, and Maya Ambrozhevich. "MASK GENERATOR FOR ORTHOGONAL REGULAR MESH." RADIOELECTRONIC AND COMPUTER SYSTEMS, no. 4 (November 27, 2020): 48–56. http://dx.doi.org/10.32620/reks.2020.4.04.

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Existing mesh generators are focused mainly on obtaining non-orthogonal irregular grids designed to describe the curved boundaries of streamlined bodies. However, the thickening of the grid leads to an increase in the calculation time, and the non-conformity of the grid leads to unphysical effects. The software package (SP) developed by the authors for the simulation of gas-thermodynamic processes is oriented toward a much simpler description of the geometry, i. e., uses a different principle of increasing the smoothness of the solution in places with a complex surface structure. This principl

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28

Shephard, G. C. "Regular Polyhedral Clones." Mathematical Gazette 97, no. 540 (2013): 421–29. http://dx.doi.org/10.1017/s0025557200000152.

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For any polyhedron (3-polytope) P in ordinary three-dimensional space let S(P) denote its surface, that is, the union of its (closed) 2-faces. If P1 and P2 are given polyhedra, they are said to be clones of each other if there exists an isometry which maps S(P1) onto S(P2). In practical terms, this means that if one makes a paper model of one of the polyhedra, say P1 then, ignoring the ‘creases’ corresponding to the edges of P1, S(P1) can be changed into S(P2) without any stretching or cutting.

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29

Zuo, Kang. "Regular $2$ stable bundles on an algebraic surface." Duke Mathematical Journal 65, no. 1 (1992): 45–84. http://dx.doi.org/10.1215/s0012-7094-92-06503-3.

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30

Chu, Lei, Pengbo Bo, Yang Liu, and Wenping Wang. "Surface Fairing towards Regular Principal Curvature Line Networks." Computer Graphics Forum 38, no. 7 (2019): 115–25. http://dx.doi.org/10.1111/cgf.13821.

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31

Chu, J. L., and Sanboh Lee. "Diffusion in a regular solid solution." Journal of Materials Research 10, no. 6 (1995): 1354–57. http://dx.doi.org/10.1557/jmr.1995.1354.

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Diffusion in a regular solid solution was investigated. A thin plate of isotropic solid of constant surface molal fraction was considered. The regular solution is described by the parameter α. When α is positive, the attraction between unlike atoms is greater than the attraction between like atoms, and conversely. The depths of penetration and average molal fraction for a given period increase with increasing α. The separation of two curves for given α increase with increasing surface molal fraction. The diffusion coefficient is positive only if α is greater than −1/X(1 - X).

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32

Ouarab, Soukaina. "Corrigendum to “Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E 3 ”." Abstract and Applied Analysis 2022 (July 11, 2022): 1–7. http://dx.doi.org/10.1155/2022/9849574.

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In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame of a curve in E 3 . It concerns TN-Smarandache ruled surface, TB-Smarandache ruled surface, and NB-Smarandache ruled surface. We investigate theorems that give necessary and sufficient conditions for those special ruled surfaces to be developable and minimal. Furthermore, we present examples with illustrations.

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33

Ming Chen, Ming Chen, Xiangdong Liu Xiangdong Liu, Yuehua Liu Yuehua Liu, and Mingwen Zhao Mingwen Zhao. "Characterization of regular periodic surface structure by multi-pulse laser irradiation of a Zinc target." Chinese Optics Letters 10, no. 5 (2012): 051402–51404. http://dx.doi.org/10.3788/col201210.051402.

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34

Abdel-Baky, Rashad A., and Fatemah Mofarreh. "Sweeping surface of center curve on surface in Euclidean 3-space E³." WSEAS TRANSACTIONS ON MATHEMATICS 20 (May 7, 2021): 235–43. http://dx.doi.org/10.37394/23206.2021.20.24.

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For the curve on the regular surface, there is moving frame with this thatis named Darboux frame. Sweeping surfaces through the curve associated with Darboux frame are introduced and their geometrical properties are investigated. Moreover, we obtain the necessary and sufficient conditions of this kind of surfaces to be developable ruled surfaces. Finally, an example to illustrate the application of the results is introduced.

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35

Vladimirov, Aleksandr, and Yury Tsygankov. "PROSPECTS FOR THE USE OF INTELLIGENCE SYSTEMS TO ENSURE THE QUALITY OF THE SURFACE LAYER OF MACHINE PARTS." Transport engineering 2025, no. 4 (2025): 4–11. https://doi.org/10.30987/2782-5957-2025-4-4-11.

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The study objective is to find the possibility of using intelligence systems together with vibration turning technology to ensure the quality of the surface layer and improve the performance properties of products in industries such as automotive, aircraft, space technology, mining and metallurgical engineering, etc. The task to which the paper is devoted is to ensure the operational properties of machine parts by vibration turning. To a greater extent, the operational properties depend on the quality parameters of the surface layer, which determine the wear resistance, fatigue strength and ot

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36

Chen, Xun. "Corrective Abrasive Polishing Processes for Freeform Surface." Key Engineering Materials 404 (January 2009): 103–12. http://dx.doi.org/10.4028/www.scientific.net/kem.404.103.

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Traditionally, abrasive finishing process only focused on producing excellent surface finish on regular form shapes. Ever increasing demands in freeform features in aerospace, energy and medicine applications require abrasive finishing technology not only provides excellent surface finish but also is capable to correct the errors on freeform surfaces. The paper presents current development of corrective polishing technology for freeform surfaces.

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37

Kroustalli, A., and D. Deligianni. "Carbon Nanotube Surface Regular Topography Improves Cell Response, Depending on Cell Passage." Bone and Tissue Regeneration Insights 7 (January 2016): BTRI.S30485. http://dx.doi.org/10.4137/btri.s30485.

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Through mediation of integrin clustering, nanoscale surface structure of carbon nanotubes (CNTs) directly affects cell binding and subsequent behavior. The influence of morphological structures on proliferation, differentiation, and organization of focal adhesions and cytoskeleton of human mesenchymal stem cells (hMSCs) was studied. The following two surface morphologies were fabricated and examined: a random network multiwalled carbon nanotubes film (RNCNT) and a vertically aligned multiwalled carbon nanotube (VACNT) film. hMSCs adhered and spread earlier on both CNT surfaces than on control.

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38

Estudillo, Francisco J. M., and Alfonso Romero. "Generalized maximal surfaces in Lorentz–Minkowski space L3." Mathematical Proceedings of the Cambridge Philosophical Society 111, no. 3 (1992): 515–24. http://dx.doi.org/10.1017/s0305004100075587.

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In this paper we carry out a systematic study of generalized maximal surfaces in Lorentz–Minkowski space L3, with emphasis on their branch points. Roughly speaking, such a surface is given by a conformal mapping from a Riemann surface S in L3. In the last years, several authors [1, 2, 5, 6] have dealt with regular maximal surfaces in L3, i.e. with isometric immersions, with zero mean curvature, of Riemannian 2-manifolds M in L3. So, the term ‘regular’ means free of branch points. As in the minimal case, a conformal structure is naturally induced on M, which becomes a Riemann surface S. The cor

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39

Li, Xiao Bing, and Ying Liu. "Contact Angle Model and Wettability of Regular Microsurfaces." Advanced Materials Research 199-200 (February 2011): 678–82. http://dx.doi.org/10.4028/www.scientific.net/amr.199-200.678.

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Wettability of solid surfaces is one of very important properties, which is governed by both the interface energy and the microstructures. In the paper, four microstructure surfaces were designed such as square concave, column concave, square convex and column convex. The contact angle and wettability of solid surfaces with regular microstructures were discussed for five contact angle models such as Young, Wenzel, Cassie, Cassie-Baxter and Wenzel-Cassie models. Then, the impacts of interfacial energy and microstructures to wettability were analyzed. The study shows that the character of hydrop

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40

Dehghanpour, Hamid Reza, Parviz Parvin, Seyedeh Zahra Mortazavi, Ali Reyhani, Amin Chegenizadeh, and Mohammadreza Aghaei. "Analysis of Surface Texturing of Silicon with Surface Regular Microstructure Using C Method." Energies 15, no. 20 (2022): 7540. http://dx.doi.org/10.3390/en15207540.

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Silicon, as the most abundant element in the earth’s crust and the most common material used in electronic and optical equipment, has attracted the attention of many individuals to change the properties of this material, improving its electronic and optical properties. One of these efforts relies on the reduction of surface reflection by making use of different methods. However, among them, the use of lasers in creating surface microstructures has been of special importance because there is no need for masks and other additional materials. In this work, a theoretical method is utilized to anal

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41

Dzyura, Volodymyr, Petro Maruschak, Volodymyr Semehen, Volodymyr Holovko, and Vasyl Fediv. "Justification of the Parameters of Regular Microreliefs Formed on Flat Surfaces." Central Ukrainian Scientific Bulletin. Technical Sciences 1, no. 8(39) (2023): 37–47. http://dx.doi.org/10.32515/2664-262x.2023.8(39).1.37-47.

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The task of the article is to establish the influence of the technological parameters of the process of forming regular microrelief formed on flat surfaces on the relative area of vibration rolling and, accordingly, the operational properties of this surface. The technological features of the formation of a regular microrelief of the 1st type on flat surfaces by the method of vibration rolling with a vibrating head with ball rollers are considered. An analytical dependence was obtained for determining the path that the vibratory run-in will take in a quarter of a spindle revolution under the g

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42

Makhovskaya, Yu Yu. "Adhesive Interaction of Elastic Bodies with Regular Surface Relief." Mechanics of Solids 55, no. 7 (2020): 1105–14. http://dx.doi.org/10.3103/s0025654420070134.

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43

KITAGAWA, Ryuji, and Toshihiko MATSUDA. "Surface microtopographs of regular interstratification of mica and smectite." Journal of the Mineralogical Society of Japan 17 (1986): 103–8. http://dx.doi.org/10.2465/gkk1952.17.special_103.

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44

LI, Jiangxiong. "PDGI-based regular swept surface extraction from point cloud." Chinese Journal of Mechanical Engineering (English Edition) 19, no. 03 (2006): 322. http://dx.doi.org/10.3901/cjme.2006.03.322.

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45

Romanova, Viktoryna A. "Visualizing surface formation of semi-regular polyhedra of Archimedes." Structural Mechanics of Engineering Constructions and Buildings 16, no. 4 (2020): 279–89. http://dx.doi.org/10.22363/1815-5235-2020-16-4-279-289.

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The most common method of forming semi-control polyhedra consists in cutting off angles and ribs of regular polyhedra by planes. The aim of the work - to consider the automated formation of a number of surfaces of semi-regular Archimedean polyhedra based on the dodecahedron. These include the truncated dodecahedron, the icosododecahedron, the romboicosododecahedron and the truncated icosododecahedron. The formation of surfaces is carried out by the kinematic method in AutoCAD using programs compiled in the AutoLISP language. Methods. The methodology for the formation of these polyhedra provide

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46

Lei, Na, Xiaopeng Zheng, Hang Si, Zhongxuan Luo, and Xianfeng Gu. "Generalized Regular Quadrilateral Mesh Generation based on Surface Foliation." Procedia Engineering 203 (2017): 336–48. http://dx.doi.org/10.1016/j.proeng.2017.09.818.

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47

Krainyukova, N. V., M. A. Strzhemechny, and A. P. Brodyanskii. "Phase transitions at a SrTiO3 surface with regular steps." Czechoslovak Journal of Physics 46, S5 (1996): 2685–86. http://dx.doi.org/10.1007/bf02570329.

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48

Hussain, Maria, Malik Zawwar Hussain, and Muhammad Sarfraz. "Shape-Preserving Rational Interpolation Scheme for Regular Surface Data." International Journal of Applied and Computational Mathematics 2, no. 4 (2015): 713–47. http://dx.doi.org/10.1007/s40819-015-0117-8.

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49

Marigo, A., and A. Bicchi. "Rolling bodies with regular surface: controllability theory and applications." IEEE Transactions on Automatic Control 45, no. 9 (2000): 1586–99. http://dx.doi.org/10.1109/9.880610.

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50

Sugawara, Ayae, Takeshi Ishii, and Takashi Kato. "Self-Organized Calcium Carbonate with Regular Surface-Relief Structures." Angewandte Chemie International Edition 42, no. 43 (2003): 5299–303. http://dx.doi.org/10.1002/anie.200351541.

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