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Relevant bibliographies by topics / Curves on surfaces Surfaces Geometry

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Academic literature on the topic 'Curves on surfaces Surfaces Geometry'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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Journal articles on the topic "Curves on surfaces Surfaces Geometry"

1

Do, Norman, Musashi A. Koyama, and Daniel V. Mathews. "Counting curves on surfaces." International Journal of Mathematics 28, no. 02 (2017): 1750012. http://dx.doi.org/10.1142/s0129167x17500124.

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We consider an elementary, and largely unexplored, combinatorial problem in low-dimensional topology: for a compact surface [Formula: see text], with a finite set of points [Formula: see text] fixed on its boundary, how many configurations of disjoint arcs are there on [Formula: see text] whose boundary is [Formula: see text]? We find that this enumerative problem, counting curves on surfaces, has a rich structure. We show that such curve counts obey an effective recursion, in the general spirit of topological recursion, and exhibit quasi-polynomial behavior. This “elementary curve-counting” i

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Perez-Arribas, Francisco L., and Erno Peter-Cosma. "Parametric Generation of Planing Hulls with NURBS Surfaces." Journal of Ship Research 57, no. 04 (2013): 241–61. http://dx.doi.org/10.5957/jsr.2013.57.4.241.

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This article presents a mathematical method for producing hard-chine ship hulls based on a set of numerical parameters that are directly related to the geometric features of the hull and uniquely define a hull form for this type of ship. The term planing hull is used generically to describe the majority of hard-chine boats being built today. This article is focused on unstepped, single-chine hulls. B-spline curves and surfaces were combined with constraints on the significant ship curves to produce the final hull design. The hard-chine hull geometry was modeled by decomposing the surface geome

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Leininger, Christopher J. "Equivalent Curves in Surfaces." Geometriae Dedicata 102, no. 1 (2003): 151–77. http://dx.doi.org/10.1023/b:geom.0000006579.44245.92.

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Ivaschenko, A., and D. Vavanov. "General Analysis of the Shape of Two Similar Second-Order Surfaces’ Intersection Line." Geometry & Graphics 8, no. 4 (2021): 24–34. http://dx.doi.org/10.12737/2308-4898-2021-8-4-24-34.

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The presented paper is devoted to classification questions of fourth-order spatial curves, obtained as a result of intersection of non-degenerate second-order surfaces (quadrics) from the point of view of the forms of the original quadrics generating this curve. At the beginning of the paper is performed a brief historical overview of appearance of well-known and widely used curves ranging from ancient times and ending with the current state in the theory of curves and surfaces. Then a general analysis of the influence of the shape parameters and the relative position of original surfaces on t

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Solomon, Bruce, and Alfred Gray. "Modern Differential Geometry of Curves and Surfaces." American Mathematical Monthly 102, no. 10 (1995): 937. http://dx.doi.org/10.2307/2975282.

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Lazopoulos, Konstantinos A., and Anastasios K. Lazopoulos. "Fractional Differential Geometry of Curves & Surfaces." Progress in Fractional Differentiation and Applications 2, no. 3 (2016): 169–86. http://dx.doi.org/10.18576/pfda/020302.

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Parhusip, Hanna Arini, Hindriyanto Dwi Purnomo, Didit Budi Nugroho, and Istiarsi Saptuti Sri Kawuryan. "Learning geometry through surface creation from the hypocycloid curves expansion with derivative operators for ornaments." Desimal: Jurnal Matematika 4, no. 1 (2021): 1–12. http://dx.doi.org/10.24042/djm.v4i1.7385.

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Geometry is one of the particular problems for students. Therefore, several methods have been developed to attract students to learn geometry. For undergraduate students, learning geometry through surface visualization is introduced. One topic is studying parametric curves called the hypocycloid curve. This paper presents the generalization of the hypocycloid curve. The curve is known in calculus and usually is not studied further. Therefore, the research's novelty is introducing the spherical coordinate to the equation to obtain new surfaces. Initially, two parameters are indicating the radiu

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Munira, Ali, Nur Najmiyah Jaafar, Abdul Aziz Fazilah, and Z. Nooraizedfiza. "Review on Non Uniform Rational B-Spline (NURBS): Concept and Optimization." Advanced Materials Research 903 (February 2014): 338–43. http://dx.doi.org/10.4028/www.scientific.net/amr.903.338.

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This paper is to provide literature review of the Non Uniform Rational B-Splines (NURBS) formulation in the curve and surface constructions. NURBS curves and surfaces have a wide application in Computer Aided Geometry Design (CAGD), Computer Aided Design (CAD), image processing and etc. The formulation of NURBS showing that NURBS curves and surfaces requires three important parameters in controlling the curve and also modifying the shape of the curves and surfaces. Yet, curves and surfaces fitting are still the major problems in the geometrical modeling. With this, the researches that have bee

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KUMAR, ABHINAV, and MASATO KUWATA. "ELLIPTIC K3 SURFACES ASSOCIATED WITH THE PRODUCT OF TWO ELLIPTIC CURVES: MORDELL–WEIL LATTICES AND THEIR FIELDS OF DEFINITION." Nagoya Mathematical Journal 228 (November 9, 2016): 124–85. http://dx.doi.org/10.1017/nmj.2016.56.

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To a pair of elliptic curves, one can naturally attach two K3 surfaces: the Kummer surface of their product and a double cover of it, called the Inose surface. They have prominently featured in many interesting constructions in algebraic geometry and number theory. There are several more associated elliptic K3 surfaces, obtained through base change of the Inose surface; these have been previously studied by Masato Kuwata. We give an explicit description of the geometric Mordell–Weil groups of each of these elliptic surfaces in the generic case (when the elliptic curves are non-isogenous). In t

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Сальков, Николай, and Nikolay Sal'kov. "General Principles for Formation of Ruled Surfaces. Part 3." Geometry & Graphics 7, no. 2 (2019): 13–27. http://dx.doi.org/10.12737/article_5d2c170ab37810.30821713.

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We continue to consider the formation of ruled surfaces with a single method of their formation. In the first and second parts have been introduced more than forty options for specifying surfaces. These formations with the help of guide lines and surfaces are considered in a new aspect – as formation in science and production of all of ruled surfaces. In this paper, we consider new options for specifying ruled surfaces. Generalized the task for torso surface. If in textbooks on descriptive geometry torso surface is given as 1∞ straight lines, tangent to the spatial line, the proposed version o

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Dissertations / Theses on the topic "Curves on surfaces Surfaces Geometry"

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Bråmå, Erik. "Strain Energy of Bézier Surfaces." Thesis, Linköpings universitet, Matematik och tillämpad matematik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-145645.

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Bézier curves and surfaces are used to great success in computer-aided design and finite element modelling, among other things, due to their tendency of being mathematically convenient to use. This thesis explores the different properties that make Bézier surfaces the strong tool that it is. This requires a closer look at Bernstein polynomials and the de Castiljau algorithm. To illustrate some of these properties, the strain energy of a Bézier surface is calculated. This demands an understanding of what a surface is, which is why this thesis also covers some elementary theory regarding paramet

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Liu, Yang. "Optimization and differential geometry for geometric modeling." Click to view the E-thesis via HKUTO, 2008. http://sunzi.lib.hku.hk/hkuto/record/B40988077.

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O'Neill, Edward Finbar. "Geometry based constructions for curves and surfaces." Thesis, University of Birmingham, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.251132.

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Duran, James Joseph. "Differential geometry of surfaces and minimal surfaces." CSUSB ScholarWorks, 1997. https://scholarworks.lib.csusb.edu/etd-project/1542.

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Liu, Yang, and 劉洋. "Optimization and differential geometry for geometric modeling." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2008. http://hub.hku.hk/bib/B40988077.

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McKinnon, David N. R. "The multiple view geometry of implicit curves and surfaces /." [St. Lucia, Qld.], 2006. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe19677.pdf.

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Khattab, Ashraf. "Flecnodal and LIE-curves of ruled surfaces." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2005. http://nbn-resolving.de/urn:nbn:de:swb:14-1133965882370-89507.

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If we consider ruled surfaces of the projective 3-space as a one parameter family of lines, then they appear in the well-known KLEIN-model of lines in the projective 3-space as curves of a hyperquadric in the projective 5-space. The osculating spaces of such a curve are represented in the projective 3-space by spaces of linear complexes. Those points of a generator e of the ruled surface, in which the tangent bundles are in the same time complex line bundles in the accompanying osculating line complex of the ruled surface along e, are called the LIE-points of e. The LIE-points fulfil two (real

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Rycroft, Jeanette Erica. "A geometrical investigation into the projections of surfaces and space curves." Thesis, University of Liverpool, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.322492.

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Tramel, Rebecca. "New stability conditions on surfaces and new Castelnuovo-type inequalities for curves on complete-intersection surfaces." Thesis, University of Edinburgh, 2016. http://hdl.handle.net/1842/20990.

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Let X be a smooth complex projective variety. In 2002, [Bri07] defined a notion of stability for the objects in Db(X), the bounded derived category of coherent sheaves on X, which generalized the notion of slope stability for vector bundles on curves. There are many nice connections between stability conditions on X and the geometry of the variety. In 2012, [BMT14] gave a conjectural stability condition for threefolds. In the case that X is a complete intersection threefold, the existence of this stability condition would imply a Castelnuovo-type inequality for curves on X. I give a new Castel

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Chiek, Veasna. "Geodesic on surfaces of constant Gaussian curvature." CSUSB ScholarWorks, 2006. https://scholarworks.lib.csusb.edu/etd-project/3045.

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The goal of the thesis is to study geodesics on surfaces of constant Gaussian curvature. The first three sections of the thesis is dedicated to the definitions and theorems necessary to study surfaces of constant Gaussian curvature. The fourth section contains examples of geodesics on these types of surfaces and discusses their properties. The thesis incorporates the use of Maple, a mathematics software package, in some of its calculations and graphs. The thesis' conclusion is that the Gaussian curvature is a surface invariant and the geodesics of these surfaces will be the so-called best path

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Books on the topic "Curves on surfaces Surfaces Geometry"

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Montiel, Sebastián. Curves and surfaces. American Mathematical Society, 2005.

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Curves and surfaces. 2nd ed. American Mathematical Society, 2009.

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Abate, Marco. Curves and Surfaces. Springer Milan, 2012.

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Differential geometry: Curves - surfaces - manifolds. 2nd ed. American Mathematical Society, 2005.

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Kühnel, Wolfgang. Differential geometry: Curves, surfaces, manifolds. American Mathematical Society, 2015.

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Kuhnel, Wolfgang. Differential geometry: Curves - surfaces - manifolds. 2nd ed. American Mathematical Society, 2006.

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Marcel, Berger. Differential geometry: Manifolds, curves, and surfaces. Springer-Verlag, 1988.

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Lovett, Stephen (Stephen T.), ed. Differential geometry of curves and surfaces. CRC Press, 2016.

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Stephen, Lovett, ed. Differential geometry of curves and surfaces. A.K. Peters, 2010.

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Banchoff, Thomas. Differential geometry of curves and surfaces. A.K. Peters, 2010.

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Book chapters on the topic "Curves on surfaces Surfaces Geometry"

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Tapp, Kristopher. "Surfaces." In Differential Geometry of Curves and Surfaces. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-39799-3_3.

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Bommes, David, Henrik Zimmer, and Leif Kobbelt. "Practical Mixed-Integer Optimization for Geometry Processing." In Curves and Surfaces. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27413-8_12.

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Girard, Patrick R., Patrick Clarysse, Romaric Pujol, Liang Wang, and Philippe Delachartre. "Differential Geometry Revisited by Biquaternion Clifford Algebra." In Curves and Surfaces. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22804-4_17.

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Radzevich, Stephen P. "“Plücker Conoid”: More Characteristic Curves." In Geometry of Surfaces. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-22184-3_6.

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Ait-Haddou, Rachid, and Taishin Nomura. "Complex Bézier Curves and the Geometry of Polynomials." In Curves and Surfaces. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27413-8_3.

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Großmann, David, and Bert Jüttler. "Volumetric Geometry Reconstruction of Turbine Blades for Aircraft Engines." In Curves and Surfaces. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27413-8_18.

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Möbius, Jan, and Leif Kobbelt. "OpenFlipper: An Open Source Geometry Processing and Rendering Framework." In Curves and Surfaces. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27413-8_31.

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Rovenski, Vladimir. "Geometry of Surfaces." In Modeling of Curves and Surfaces with MATLAB®. Springer New York, 2010. http://dx.doi.org/10.1007/978-0-387-71278-9_7.

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Dahl, Heidi E. I. "Isotropic Möbius Geometry and i-M Circles on Singular Isotropic Cyclides." In Curves and Surfaces. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22804-4_12.

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Tapp, Kristopher. "Curves." In Differential Geometry of Curves and Surfaces. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-39799-3_1.

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Conference papers on the topic "Curves on surfaces Surfaces Geometry"

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ARSLAN, KADRI, and CIHAN ÖZGÜR. "CURVES AND SURFACES OF AW(k) TYPE." In Geometry and Topology of Submanifolds IX. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789812817976_0003.

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Gálvez, J. A., A. Martínez, and F. Milán. "Contact Holomorphic Curves and Flat Surfaces." In Differential Geometry in Honor of Professor S S Chern. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792051_0004.

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Izumiya, Shyuichi, Donghe Pei, and Masatomo Takahashi. "Curves and surfaces in hyperbolic space." In Geometric Singularity Theory. Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc65-0-8.

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ANDO, Naoya. "COMPLEX CURVES AND ISOTROPIC MINIMAL SURFACES IN HYPERKÄHLER 4-MANIFOLDS." In 6th International Colloquium on Differential Geometry and its Related Fields. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789811206696_0004.

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NAKAGAWA, Yasuhiro, та Hidekazu SATO. "PERIODIC SURFACES OF REVOLUTION in ℝ3 AND CLOSED PLANE CURVES". У 6th International Colloquium on Differential Geometry and its Related Fields. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789811206696_0013.

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Tang, Xiaojing, and Gady Agam. "Curve-based local surface geometry estimation in polyhedral surfaces." In Electronic Imaging 2004, edited by Longin Jan Latecki, David M. Mount, and Angela Y. Wu. SPIE, 2004. http://dx.doi.org/10.1117/12.532423.

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MARTINA, L., T. A. KOZHAMKULOV, KUR MYRZAKUL, and R. MYRZAKULOV. "INTEGRABLE HEISENBERG FERROMAGNETS AND SOLITON GEOMETRY OF CURVES AND SURFACES." In Proceedings of the Workshop. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704467_0035.

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Ge, Q. J., and Donglai Kang. "Geometric Design of Smooth Composite Ruled Surface Strips Using Dual Spherical Geometry." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0086.

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Abstract This paper deals with geometric construction of smooth composite ruled surface strips. Oriented lines that constitute the rulings of the ruled surfaces are represented by unit vectors with three components over the ring of dual numbers. The problem of designing a smooth ruled surface is studied as that of designing a one-real-parametric curve on the unit dual sphere. Geometric conditions for piecing two ruled surfaces smoothly are developed using differential geometry of curves on the dual sphere. A coordinate-frame invariant method for line segmentation is also presented. Finally, a

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Liu, Jun, Yunbao Huang, Qifu Wang, and Liping Chen. "Feature Parameters Extraction of Blending Surfaces for CAD Geometry Models Compression." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-49956.

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In this paper, a CAD model compression approach is presented by representing blending surfaces with their spine curves and variation functions of blending radiuses. The core idea of this approach is to recognize blending surfaces from all B-spline surfaces in a CAD geometry model by analyzing their principle curvature curves, and then extracting their feature parameters i.e. spine curves and variation functions of blending radiuses. Experiments demonstrate that the geometry models including blending surfaces are greatly compressed, which benefits much to cooperative development of complex prod

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Chen, Sugen, and Benyue Su. "Geometric modeling with quasi-Hermite curves and surfaces." In 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics (CAD/Graphics). IEEE, 2009. http://dx.doi.org/10.1109/cadcg.2009.5246886.

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Reports on the topic "Curves on surfaces Surfaces Geometry"

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DeRose, Tony D., and Brian A. Barsky. An Intuitive Approach to Geometric Continuity for Parametric Curves and Surfaces. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada169654.

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Hoffmann, Christop M. Conversion Methods between Parametric and Implicit Curves and Surfaces. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada228715.

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Munteanu, Marian I., and Ana I. Nistor. New Results on the Geometry of the Translation Surfaces. GIQ, 2012. http://dx.doi.org/10.7546/giq-11-2010-157-169.

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Munteanu, Marian I. New Results on the Geometry of the Translation Surfaces. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-18-2010-49-62.

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Ludu, Andrei. Differential Geometry of Moving Surfaces and its Relation to Solitons. GIQ, 2012. http://dx.doi.org/10.7546/giq-12-2011-43-69.

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Kublik, Catherine, and Richard Tsai. Integration Over Curves and Surfaces Defined by the Closest Point Mapping. Defense Technical Information Center, 2015. http://dx.doi.org/10.21236/ada623636.

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Angenent, Sigurd. Parabolic Equations for Curves on Surfaces. 2. Intersections, Blow Up and Generalized Solutions. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada212890.

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Yan, Yujie, and Jerome F. Hajjar. Automated Damage Assessment and Structural Modeling of Bridges with Visual Sensing Technology. Northeastern University, 2021. http://dx.doi.org/10.17760/d20410114.

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Recent advances in visual sensing technology have gained much attention in the field of bridge inspection and management. Coupled with advanced robotic systems, state-of-the-art visual sensors can be used to obtain accurate documentation of bridges without the need for any special equipment or traffic closure. The captured visual sensor data can be post-processed to gather meaningful information for the bridge structures and hence to support bridge inspection and management. However, state-of-the-practice data postprocessing approaches require substantial manual operations, which can be time-c

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Srivastava, Anuj. A Statistical Theory for Shape Analysis of Curves and Surfaces with Applications in Image Analysis, Biometrics, Bioinformatics and Medical Diagnostics. Defense Technical Information Center, 2010. http://dx.doi.org/10.21236/ada532601.

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