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Journal articles on the topic 'Construction of surfaces'

Author: Grafiati

Published: 4 June 2021

Last updated: 17 February 2022

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1

NAVASCUÉS, M. A., R. N. MOHAPATRA, and M. N. AKHTAR. "CONSTRUCTION OF FRACTAL SURFACES." Fractals 28, no. 02 (March 2020): 2050033. http://dx.doi.org/10.1142/s0218348x20500334.

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The paper approaches the construction of fractal surfaces of interpolation and approximation on the basis of a fractal perturbation of any mapping defined on a rectangle. Conditions for the differentiability of these elements are also provided. The fractal surfaces obtained may be used for the approximation of real-world data. The method proposed does not require any restriction on the type of data. Furthermore, the present approach does not imply the solution of large systems of equations. The paper considers both the continuous and the discontinuous case.

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2

Gompf, Robert E. "Handlebody Construction of Stein Surfaces." Annals of Mathematics 148, no. 2 (September 1998): 619. http://dx.doi.org/10.2307/121005.

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3

Brooks, Robert, and Eran Makover. "Random Construction of Riemann Surfaces." Journal of Differential Geometry 68, no. 1 (September 2004): 121–57. http://dx.doi.org/10.4310/jdg/1102536712.

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4

Liu, Yuchen. "Construction of hyperbolic Horikawa surfaces." Annales de l’institut Fourier 68, no. 2 (2018): 541–61. http://dx.doi.org/10.5802/aif.3169.

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5

Bi, Zhengfa, and Xinming Wu. "Improving fault surface construction with inversion-based methods." GEOPHYSICS 86, no. 1 (January 1, 2021): IM1—IM14. http://dx.doi.org/10.1190/geo2019-0832.1.

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Constructing fault surfaces is a key step for seismic structural interpretation and building structural models. We automatically construct fault surfaces from oriented fault samples scanned from a 3D seismic image. The main challenges of the fault surface construction include the following: Some fault samples are locally missing, the positions and orientations of the fault samples may be noisy, and surfaces may form complicated intersections with each other. We adopt the Poisson equation surface method (PESM) and the point-set surface method (PSSM) to automatically construct complete fault surfaces from fault samples and their corresponding orientations. Our methods can robustly fit the noisy fault samples and reasonably fill holes or missing samples, thus improving fault surface construction. By formulating fault surface construction as an inverse problem, we estimate a scalar function to approximate the fault samples in the least-squares sense. In PESM, we estimate the scalar function by solving a weighted Poisson equation. In PSSM, the scalar function is derived by fitting local algebraic spheres based on moving least-squares approximations. Then, the fault surfaces can be approximated by zero isosurfaces of the resulting scalar function. To handle complicated cases of crossing faults, we first classify the fault samples according to their orientations, and we take each class of samples as input of our inversion-based approaches to independently construct the crossing faults. We determine the ability of our methods in robustly building the complete fault surface using synthetic and real seismic images complicated by noise and complexly intersecting faults.

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6

Yu, Xi Fa, Ci Xiang Li, and Jing Lin. "Curved Surface and Material Design and Construction." Applied Mechanics and Materials 99-100 (September 2011): 162–65. http://dx.doi.org/10.4028/www.scientific.net/amm.99-100.162.

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Abstract: The application of curved surface is more and more popular in various kinds of engineering, for different curved surfaces ,because the form and formation way of their generatrix form are different, the surface properties are also different[1,2],so the relevant materials used must match with them too. As a designer, when he/she designs the curved surface, while in pursuit of the perfect modeling, he/she must take the scientific structure in consideration as well, so as to convenient for construction; As a constructor, he/she must fully understand the curved surface’s character, rasp the mechanism, and then use a scientific and simple technique to achieve a perfect structure modeling.

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7

HASHIMOTO, YOSHITAKE, and KIYOSHI OHBA. "CUTTING AND PASTING OF RIEMANN SURFACES WITH ABELIAN DIFFERENTIALS I." International Journal of Mathematics 10, no. 05 (August 1999): 587–617. http://dx.doi.org/10.1142/s0129167x99000239.

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We introduce a method of constructing once punctured Riemann surfaces by cutting the complex plane along "line segments" and pasting by "parallel transformations". The advantage of this construction is to give a good visualization of the deformation of complex structures of Riemann surfaces. In fact, given a positive integer g, there appears a family of once punctured Riemann surfaces of genus g which is complete and effectively parametrized at any point. Our construction naturally gives each of the resulting surfaces what we call a Lagrangian lattice Λ, a certain subgroup of the first homology. Furthermore Λ and the puncture determine an Abelian differential ωΛ of the second kind on the Riemann surface. Using Λ and ωΛ we consider the Kodaira–Spencer maps and some extension of the family to obtain any once punctured Riemann surface with a Lagrangian lattice. In particular we describe the moduli space of once punctured elliptic curves with Lagrangian lattices.

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8

González-Sánchez, Jon, and Irene Polo-Blanco. "Construction algorithms for rational cubic surfaces." Journal of Symbolic Computation 79 (March 2017): 309–26. http://dx.doi.org/10.1016/j.jsc.2016.02.010.

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9

Alzati, Alberto, and Fabio Tonoli. "An explicit construction of ruled surfaces." Journal of Pure and Applied Algebra 213, no. 3 (March 2009): 329–48. http://dx.doi.org/10.1016/j.jpaa.2008.07.003.

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10

Hoppe, Jens, and Vladimir G. Tkachev. "New construction techniques for minimal surfaces." Complex Variables and Elliptic Equations 64, no. 9 (November 8, 2018): 1546–63. http://dx.doi.org/10.1080/17476933.2018.1542688.

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11

Lidin, S., and S. T. Hyde. "A construction algorithm for minimal surfaces." Journal de Physique 48, no. 9 (1987): 1585–90. http://dx.doi.org/10.1051/jphys:019870048090158500.

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12

Majumder, Moumita, Steve Alexandre Ndengue, and Richard Dawes. "Automated construction of potential energy surfaces." Molecular Physics 114, no. 1 (October 26, 2015): 1–18. http://dx.doi.org/10.1080/00268976.2015.1096974.

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13

Haberleitner, Michael, and Bert Jüttler. "Isogeometric segmentation: Construction of cutting surfaces." Computer-Aided Design 90 (September 2017): 135–45. http://dx.doi.org/10.1016/j.cad.2017.05.007.

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14

Miyuki, Koiso, and Bennett Palmer. "Rolling construction for anisotropic Delaunay surfaces." Pacific Journal of Mathematics 234, no. 2 (February 1, 2008): 345–78. http://dx.doi.org/10.2140/pjm.2008.234.345.

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15

Traizet, Martin. "Construction de surfaces minimales en recollant des surfaces de Scherk." Annales de l’institut Fourier 46, no. 5 (1996): 1385–442. http://dx.doi.org/10.5802/aif.1554.

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16

Zhang, G. M., and S. G. Kapoor. "Dynamic Generation of Machined Surfaces, Part 2: Construction of Surface Topography." Journal of Engineering for Industry 113, no. 2 (May 1, 1991): 145–53. http://dx.doi.org/10.1115/1.2899671.

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In Part 1 of these two-part papers, a normal distribution model has been formulated to describe the random excitation system present during machining. Part 2 presents a methodology to dynamically generate the surface topography under the random excitation environment through computer simulation. The proposed methodology uses the tool vibratory motion along with the tool geometrical motion to construct the topography of a machined surface. Both experimental and simulation results confirm that when a small feed is used, the influence of the spiral trajectory of tool geometrical motion on the surface generation decays dramatically and the random excitation system, on the opposite, is strengthened playing a significant role in surface texture generation.

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17

Bondarenko, Dmitry, Iryna Plakhotnikova, Medeia Saliia, Olga Demina, and Alexander Bondarenko. "Surface active properties of silicate and aluminosilicate surfaces." MATEC Web of Conferences 230 (2018): 03002. http://dx.doi.org/10.1051/matecconf/201823003002.

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Liquid heat-insulation based on hollow microspheres and polymer compounds become more and more popular in the construction industry. This material enjoys indisputable technological advantages easiness of application, low mass, flexibility, good adhesion to different materials. Traditional non-organic heat insulating materials, widely presented on modern construction market, have some disadvantages. Foam concrete and gas silicate have relatively high average density, which enables obtaining items and materials with a fairly low thermal conductivity coefficient. These materials have high saturation coefficient and low values of cold endurance. Inside the mineral-wool plates, which are quite popular on the modern market, the hyperfine fibers transform into dust particles by time, and agglutinative compounds destruct, releasing toxic substances. The aluminosilicate microspheres have a high potential as a commercial product, but their market has just started forming. According to rough calculations, the cost of the product is next lower order to the hollow microspheres, obtained by industrial methods.

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18

RI, SONGIL. "A NEW CONSTRUCTION OF THE FRACTAL INTERPOLATION SURFACE." Fractals 23, no. 04 (December 2015): 1550043. http://dx.doi.org/10.1142/s0218348x15500437.

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In this paper, we introduce a new construction of the fractal interpolation surface (FIS) using an even more general iterated function systems (IFS) which can generate self-affine and non self-affine fractal surfaces. Here we present the general types of fractal surfaces that are based on nonlinear IFSs.

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19

Small, Anthony. "Remarks on a construction of Duistermaat." MATHEMATICA SCANDINAVICA 94, no. 2 (June 1, 2004): 202. http://dx.doi.org/10.7146/math.scand.a-14439.

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A construction of Duistermaat's, in which an auxiliary holomorphic curve in the line bundle $\mathcal O(4)$ on $\mathsf{P}_1$ is associated to a minimal surface in $R^3$, is described in a new way and generalised to minimal surfaces in $R^n$. If the minimal surface is complete and has finite total curvature then the auxiliary curve is algebraic.

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20

Ammad, Muhammad, and Md Yushalify Misro. "Construction of Local Shape Adjustable Surfaces Using Quintic Trigonometric Bézier Curve." Symmetry 12, no. 8 (July 23, 2020): 1205. http://dx.doi.org/10.3390/sym12081205.

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Based on quintic trigonometric Bézier like basis functions, the biquintic Bézier surfaces are modeled with four shape parameters that not only possess the key properties of the traditional Bézier surface but also have exceptional shape adjustment. In order to construct Bézier like curves with shape parameters, we present a class of quintic trigonometric Bézier like basis functions, which is an extension of a traditional Bernstein basis. Then, according to these basis functions, we construct three different types of shape adjustable surfaces such as general surface, swept surface and swung surface. In addition to the application of the proposed method, we also discuss the shape adjustment of surfaces showing with curvature nephogram (with and without fixing the boundaries). However, the modeling examples shows that the suggested approach is efficient and easy to implement.

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21

Çi̇mdi̇ker, Muradi̇ye, and Yasi̇n Ünlütürk. "The construction of the space-like surface of constant breadth." International Journal of Geometric Methods in Modern Physics 16, no. 04 (April 2019): 1950060. http://dx.doi.org/10.1142/s0219887819500609.

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The objective of this study is to define an ovaloid surface on the convex closed space-like surfaces of constant breadth when principal curvatures of these surfaces are continuous, non-vanishing functions, and to obtain some special geometrical properties of this ovaloid surface by using the radius of curvature, diameter of the surface in [Formula: see text].

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22

Pacard, Frank. "Construction de surfaces à courbure moyenne constante." Séminaire de théorie spectrale et géométrie 17 (1999): 139–57. http://dx.doi.org/10.5802/tsg.212.

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23

Colding, T. H., and C. de Lellis. "The min-max construction of minimal surfaces." Surveys in Differential Geometry 8, no. 1 (2003): 75–107. http://dx.doi.org/10.4310/sdg.2003.v8.n1.a3.

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24

Schlichenmaier, Martin. "Sugawara construction for higher genus Riemann surfaces." Reports on Mathematical Physics 43, no. 1-2 (February 1999): 323–39. http://dx.doi.org/10.1016/s0034-4877(99)80041-x.

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25

Dloussky, G. "Une construction elementaire des surfaces d'Inoue-Hirzebruch." Mathematische Annalen 280, no. 4 (December 1988): 663–82. http://dx.doi.org/10.1007/bf01450083.

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26

Khmarova, L. I., and E. A. Usmanova. "Second order surfaces in architecture and construction." IOP Conference Series: Materials Science and Engineering 451 (December 14, 2018): 012118. http://dx.doi.org/10.1088/1742-6596/451/1/012118.

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27

Khmarova, L. I., and E. A. Usmanova. "Second order surfaces in architecture and construction." IOP Conference Series: Materials Science and Engineering 451 (December 14, 2018): 012118. http://dx.doi.org/10.1088/1757-899x/451/1/012118.

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28

Huysmans, T., J. Sijbers, and V. Brigitte. "Automatic Construction of Correspondences for Tubular Surfaces." IEEE Transactions on Pattern Analysis and Machine Intelligence 32, no. 4 (April 2010): 636–51. http://dx.doi.org/10.1109/tpami.2009.93.

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29

Korotkiy, V. A., and E. A. Usmanova. "Regular linear surfaces in architecture and construction." Journal of Physics: Conference Series 1441 (January 2020): 012065. http://dx.doi.org/10.1088/1742-6596/1441/1/012065.

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30

Lyul’ka, V. A., I. E. Mikhailov, and B. N. Tyumnev. "On the construction of interpolation mesh surfaces." Computational Mathematics and Mathematical Physics 47, no. 1 (January 2007): 9–13. http://dx.doi.org/10.1134/s0965542507010022.

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31

Çanakcı, Zeynep, O. Oğulcan Tuncer, İsmai̇l Gök, and Yusuf Yaylı. "The construction of circular surfaces with quaternions." Asian-European Journal of Mathematics 12, no. 07 (November 18, 2019): 1950091. http://dx.doi.org/10.1142/s1793557119500918.

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In this paper, we obtain equations of circular surfaces by using unit quaternions and express these surfaces in terms of homothetic motions. Furthermore, we introduce new roller coaster surfaces constructed by the spherical indicatrices of a spatial curve in Euclidean [Formula: see text]-space. Then, we express parametric equations of roller coaster surfaces by means of unit quaternions and orthogonal matrices corresponding to these quaternions. Moreover, we present some illustrated examples.

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32

Westgaard, Geir, and Horst Nowacki. "Construction of Fair Surfaces Over Irregular Meshes." Journal of Computing and Information Science in Engineering 1, no. 4 (October 1, 2001): 376–84. http://dx.doi.org/10.1115/1.1433484.

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This paper describes the process of constructing a fair, open or closed C1 surface over a given irregular curve mesh. The input to the surface construction consists of point and/or curve data which are individually marked to be interpolated or approximated and are arranged according to an arbitrary irregular curve mesh topology (Fig. 1). The surface constructed from these data will minimize flexibly chosen fairness criteria. The set of available fairness criteria is able to measure surface characteristics related to curvature, variation of curvature, and higher order surface derivatives based on integral functionals of quadratic form derived from the second, third and higher order parametric derivatives of the surface. The choice is based on the desired shape character. The construction of the surface begins with a midpoint refinement decomposition of the irregular mesh into aggregates of patch complexes in which the only remaining type of building block is the quadrilateral Be´zier patch of degrees 4 by 4. The fairing process may be applied regionally or to the entire surface. The fair surface is built up either in a single global step or iteratively in a three stage local process, successively accounting for vertex, edge curve and patch interior continuity and fairness requirements. This surface fairing process will be illustrated by two main examples, a benchmark test performed on a topological cube, resulting in many varieties of fair shapes for a closed body, and a practical application to a ship hull surface for a modern container ship, which is subdivided into several local fairing regions with suitable transition pieces. The examples will demonstrate the capability of the fairing approach of contending with irregular mesh topologies, dealing with multiple regions, applying global and local fairing processes and will illustrate the influence of the choice of criteria upon the character of the resulting shapes.

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33

Charifson, Paul S., Richard G. Hiskey, and Lee G. Pedersen. "Construction and molecular modeling of phospholipid surfaces." Journal of Computational Chemistry 11, no. 10 (November 1990): 1181–86. http://dx.doi.org/10.1002/jcc.540111010.

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34

Zhao, Nailiang. "Construction and application of fractal interpolation surfaces." Visual Computer 12, no. 3 (March 1996): 132–46. http://dx.doi.org/10.1007/bf01725101.

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35

Couvreur, Alain. "Construction of rational surfaces yielding good codes." Finite Fields and Their Applications 17, no. 5 (September 2011): 424–41. http://dx.doi.org/10.1016/j.ffa.2011.02.007.

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36

Zhao, Nailiang. "Construction and application of fractal interpolation surfaces." Visual Computer 12, no. 3 (March 1, 1996): 132–46. http://dx.doi.org/10.1007/s003710050053.

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37

Bao, Zhiqiang. "Construction of covering maps between orientable surfaces." Science in China Series A: Mathematics 43, no. 6 (June 2000): 616–22. http://dx.doi.org/10.1007/bf02908773.

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38

Andersson, E., R. Andersson, M. Boman, T. Elmroth, B. Dahlberg, and B. Johansson. "Automatic construction of surfaces with prescribed shape." Computer-Aided Design 20, no. 6 (July 1988): 317–24. http://dx.doi.org/10.1016/0010-4485(88)90113-3.

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39

Li, Huizeng, An Li, Zhipeng Zhao, Mingzhu Li, and Yanlin Song. "Heterogeneous Wettability Surfaces: Principle, Construction, and Applications." Small Structures 1, no. 2 (September 13, 2020): 2000028. http://dx.doi.org/10.1002/sstr.202000028.

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40

Karstensen, A. D., A. C. Fairlie-Clarke, and I. E. Winkle. "A Conceptual Design Study of the Construction of Hydrodynamic Control Surfaces." Journal of Ship Production 10, no. 04 (November 1, 1994): 258–73. http://dx.doi.org/10.5957/jsp.1994.10.4.258.

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Hydrodynamic control surfaces are traditionally built as steel fabrications. While this gives a very strong structure, it is rather heavy and costly, it is difficult to achieve smooth surfaces, and the steel is susceptible to erosion, corrosion and marine fouling. This paper describes a conceptual design study aimed at creating a competitive advantage for the manufacturers of control surfaces by using modern materials in a composite structure. The conceptual design process, as applied here, starts by specifying the design requirements for the construction of control surfaces and listing a set of criteria against which the concept designs can be evaluated. A total of six concept designs are described and evaluated in comparison with a traditional steel fabrication, and one concept is selected for further development. This comprises a light steel frame structure with thin steel inner face plates enclosing an inner core that is filled with polyurethane foam. The surface shape is also formed with polyurethane foam poured between the face plates and a surface mold plate. Finally, the surface is sprayed with a polyurethane elastomer coating.

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41

Koźniewski, Edwin, and Anna Borowska. "Hyperboloid offset surface in the architecture and construction industry." Open Engineering 9, no. 1 (August 12, 2019): 404–13. http://dx.doi.org/10.1515/eng-2019-0051.

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AbstractIn this paper the issue of approximation of the hyperboloid offset surface off(S(t, v); d) at distance d by the hyperboloid surface S1(ϕ, v) is considered. The problem of determining various surfaces approximating the hyperboloid offset surface off (S(t, v); d) is important due to the applications of the hyperboloid as a mathematical model for miscellaneous objects in the architecture and construction industry. The paper presents the method of determining the angles and coordinates of points of various surfaces approximating the hyperboloid of revolution. A two-sheet hyperboloid offset surface can be used for modelling double-layer domes. A one-sheet hyperboloid offset surface was used to model the reinforced structure of the cooling tower.

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42

Hicks, R. Gary, Ian J. Dussek, and Charles Seim. "Asphalt Surfaces on Steel Bridge Decks." Transportation Research Record: Journal of the Transportation Research Board 1740, no. 1 (January 2000): 135–42. http://dx.doi.org/10.3141/1740-17.

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A variety of materials have been used for wearing surfaces on steel bridge decks. The requirements for these paving materials are identified, the various asphalt-based materials that have been used are described, a description of the construction process is provided, and the expected field performance and maintenance requirements for the most common materials used are discussed. The selection of the wearing surface should be based on life-cycle costs, not just initial construction costs. Life-cycle-cost calculations must include consideration of initial construction costs, expected life, maintenance and rehabilitation costs, and user delay costs associated with the removal and replacement of failed surfaces. The reliability, durability, and skid resistance of the wearing surface are very important to prolongation of the life of the surfacing and minimization of delays to users caused by frequent replacements.

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43

Su, Qimou, Ni Xiao, and Curt Randall. "A construction of volatility surfaces for futures markets." Journal of Energy Markets 8, no. 1 (March 2015): 37–57. http://dx.doi.org/10.21314/jem.2015.131.

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44

KOVALOVA, G., A. KALININ, T. KALININA, and O. NIKITENKO. "APPROXIMATE CONSTRUCTION OF GEODESIC LINES ON ROTATION SURFACES." Applied Questions of Mathematical Modeling 3, no. 2-2 (2020): 156–64. http://dx.doi.org/10.32782/kntu2618-0340/2020.3.2-2.15.

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45

Ferapontov, E. V. "Surfaces with flat normal bundle: an explicit construction." Differential Geometry and its Applications 14, no. 1 (January 2001): 15–37. http://dx.doi.org/10.1016/s0926-2245(00)00042-5.

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46

Belkhatir, Bachir, and Ahmed Zidna. "Construction of flexible blending parametric surfaces via curves." Mathematics and Computers in Simulation 79, no. 12 (August 2009): 3599–608. http://dx.doi.org/10.1016/j.matcom.2009.04.015.

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47

Liu, Yu. "Construction of Point Set Surfaces through Quadric Polynomials." Applied Mechanics and Materials 565 (June 2014): 253–59. http://dx.doi.org/10.4028/www.scientific.net/amm.565.253.

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This paper constructs PSSs (Point Set Surfaces) by combining locally fitted quadric polynomials. First, an energy function is defined as the weighted sum of distances from a point to these quadric polynomials. Then, a vector field is constructed by the weighted sum of normal vectors at input points. Finally, points on a PSS are obtained by finding local minima of the energy function along the vector field. Experiments demonstrate that high quality PSSs can be obtained from the method presented for input point clouds sampled from various shapes.

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48

Wu, Yan, and Chun-Gang Zhu. "Construction of triharmonic Bézier surfaces from boundary conditions." Journal of Computational and Applied Mathematics 377 (October 2020): 112906. http://dx.doi.org/10.1016/j.cam.2020.112906.

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49

Akrout, Hugo, and Bjoern Muetzel. "Construction of hyperbolic Riemann surfaces with large systoles." Journal of Geometry 107, no. 1 (August 20, 2015): 187–205. http://dx.doi.org/10.1007/s00022-015-0288-9.

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50

Sánchez-Reyes, J. "On the construction of minimal surfaces from geodesics." Applied Mathematical Modelling 40, no. 2 (January 2016): 1676–82. http://dx.doi.org/10.1016/j.apm.2015.07.011.

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