Relevant bibliographies by topics / Curved surfaces

Academic literature on the topic 'Curved surfaces'

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Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Curved surfaces"

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Libster-Hershko, Ana, Roy Shiloh, and Ady Arie. "Surface plasmon polaritons on curved surfaces." Optica 6, no. 1 (January 18, 2019): 115. http://dx.doi.org/10.1364/optica.6.000115.

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Ando, Naoya. "Parallel curved surfaces." Tsukuba Journal of Mathematics 28, no. 1 (June 2004): 223–43. http://dx.doi.org/10.21099/tkbjm/1496164723.

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Ghomi, Mohammad, and Joel Spruck. "Rigidity of Nonnegatively Curved Surfaces Relative to a Curve." International Mathematics Research Notices 2020, no. 17 (July 17, 2018): 5387–400. http://dx.doi.org/10.1093/imrn/rny167.

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Abstract We prove that any properly oriented $\mathcal{C}^{2,1}$ isometric immersion of a positively curved Riemannian surface $M$ into Euclidean 3-space is uniquely determined, up to a rigid motion, by its values on any curve segment in $M$. A generalization of this result to nonnegatively curved surfaces is presented as well under suitable conditions on their parabolic points. Thus, we obtain a local version of Cohn-Vossen’s rigidity theorem for convex surfaces subject to a Dirichlet condition. The proof employs in part Hormander’s unique continuation principle for elliptic partial differential equations. Our approach also yields a short proof of Cohn-Vossen’s theorem.
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Vogels, Ingrid M. L. C., Astrid M. L. Kappers, and Jan J. Koenderink. "Haptic Aftereffect of Curved Surfaces." Perception 25, no. 1 (January 1996): 109–19. http://dx.doi.org/10.1068/p250109.

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A haptic aftereffect of curved surfaces is demonstrated. Two spherical surfaces were presented sequentially to human subjects. They rested one hand on the first (conditioning) surface. After a fixed conditioning period they transferred their hand to the second (test) surface and judged whether the test surface was convex or concave. In experiment 1 the curvature of the conditioning surface was varied; the subject's judgment of convexity or concavity of the test surface was strongly shifted in the direction opposite to the curvature of the conditioning surface (negative aftereffect). Therefore, subjects judged a flat surface to be concave after being exposed to a convex surface. After a conditioning period of 5 s the shift was about 20% of the curvature of the conditioning surface. In experiment 2 the duration of the conditioning period was varied; the magnitude of the aftereffect could be described by a first-order integrator with a time constant of 2 s. In experiment 3 the time interval between the conditioning period and the touching of the second surface was varied; the magnitude of the aftereffect could be described by an exponential decay with a time constant of 40 s. It is concluded that the haptic aftereffect of curved surfaces is an important effect that occurs almost instantaneously and lasts for an appreciable period.
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Wei, Chenwei, Mengjia Cen, Hsiang-Chen Chui, and Tun Cao. "Surface wave direction control on curved surfaces." Journal of Physics D: Applied Physics 54, no. 7 (December 4, 2020): 074003. http://dx.doi.org/10.1088/1361-6463/abbbb6.

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Yaman, K., M. Jeng, P. Pincus, C. Jeppesen, and C. M. Marques. "Rods near curved surfaces and in curved boxes." Physica A: Statistical Mechanics and its Applications 247, no. 1-4 (December 1997): 159–82. http://dx.doi.org/10.1016/s0378-4371(97)00405-6.

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Bieker, T., and S. Dietrich. "Wetting of curved surfaces." Physica A: Statistical Mechanics and its Applications 252, no. 1-2 (April 1998): 85–137. http://dx.doi.org/10.1016/s0378-4371(97)00618-3.

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Saxena, A., R. Dandoloff, and T. Lookman. "Deformable curved magnetic surfaces." Physica A: Statistical Mechanics and its Applications 261, no. 1-2 (December 1998): 13–25. http://dx.doi.org/10.1016/s0378-4371(98)00378-1.

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Wang, Ying, and Ya-Pu Zhao. "Electrowetting on curved surfaces." Soft Matter 8, no. 9 (2012): 2599. http://dx.doi.org/10.1039/c2sm06878h.

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Turner, Ari M., Vincenzo Vitelli, and David R. Nelson. "Vortices on curved surfaces." Reviews of Modern Physics 82, no. 2 (April 30, 2010): 1301–48. http://dx.doi.org/10.1103/revmodphys.82.1301.

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Dissertations / Theses on the topic "Curved surfaces"

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Schoenborn, Oliver Lars. "Phase-ordering kinetics on curved surfaces." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0011/NQ35313.pdf.

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Yu, Guoxin 1968. "Optimal development of doubly curved surfaces." Thesis, Massachusetts Institute of Technology, 1999. http://hdl.handle.net/1721.1/9553.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering; and, (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1999.
Includes bibliographical references (p. 98-100).
Surfaces of many engineering structures are commonly fabricated as doubly curved shapes to fulfill functional requirements such as hydrodynamic, aesthetic, or structural. Given a three-dimensional design surface, the first step of the fabrication process is flattening or planar development of this surface into a planar shape so that the manufacturer can not only determine the initial shape of the flat plate but also estimate the strain distribution required to form the shape. In this thesis, we develop an algorithm for optimal development of a general doubly curved surface in the sense that the strain from the surface to its planar development is minimized. A planar development corresponding to minimum stretching or shrinkage is highly desirable for the following reasons: (1) it saves material; (2) it reduces the work needed to form the planar shape to the doubly curved design surface. The development process is modeled by tensile strains isoparametric directions, or along principal curvature directions from the curved surface to its planar development. The distribution of the appropriate minimum strain field is obtained by solving a constrained nonlinear programming problem. Based on the strain distribution and the coefficients of the first fundamental form of the curved surface, another unconstrained nonlinear programming problem is solved to obtain the optimal developed planar shape. Convergence, complexity, and accuracy of the algorithm are studied. Examples show the effectiveness of this algorithm.
by Guoxin Yu.
S.M.
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Streubel, Robert. "Imaging Spin Textures on Curved Magnetic Surfaces." Doctoral thesis, Universitätsbibliothek Chemnitz, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-178266.

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Gegenwärtige Bestrebungen materialwissenschaftlicher Forschung beschäftigen sich unter anderem mit der Überführung zweidimensionaler Elemente elektronischer, optischer, plasmonischer oder magnetischer Funktionalität in den dreidimensionalen (3D) Raum. Dieser Ansatz vermag mittels Krümmung und struktureller Topologie bereits vorhandene Eigenschaften abzuändern beziehungsweise neue Funktionalitäten bereitzustellen. Vor allem Vektoreigenschaften wie die Magnetisierung kondensierter Materie lassen sich aufgrund der Brechung der Inversionssymmetrie in gekrümmten Flächen stark beeinflussen. Neben der Entwicklung diverser Vorgänge zur Herstellung 3D magnetischer Gegenstände sind geeignete Untersuchungsmethoden wie beispielsweise tomografische Abbildungen der Magnetisierung von Nöten, die maßgeblich die physikalischen Eigenschaften bestimmen. Die vorliegende Dissertationsschrift befasst sich mit der Abbildung von magnetischen Domänen in 3D gekrümmten Dünnschichten beruhend auf dem Effekt des zirkularen magnetischen Röntgendichroismus (XMCD). Die in diesem Zusammenhang entwickelte magnetische Röntgentomografie (MXT) basierend auf weicher Röntgenmikroskopie stellt eine zu Elektronenholografie und Neutronentomografie komplementäre Methodik dar, welche großes Anwendungspotential in der elementspezifischen Untersuchung magnetischer gekrümmter Flächen mit örtlicher Auflösung im Nanometerbereich aufweist. Die Schwierigkeit der Interpretation von Abbildungen magnetischer Strukturen in gekrümmten Flächen rührt von der Dreidimensionalität und der Vektoreigenschaft der Magnetisierung her. Die hierzu notwendigen Kenntnisse sind anhand von zwei topologisch verschiedenen Flächen in Form hemisphärischer Kappen und hohler Zylinder erschlossen worden. Die praktische Anwendung von MXT ist abschließend anhand der Rekonstruktion magnetischer Domänen in aufgerollten Dünnschichten mit zylindrischer Form verdeutlicht
One of the foci of modern materials sciences is set on expanding conventional two-dimensional electronic, photonic, plasmonic and magnetic devices into the third dimension. This approach provides means to modify conventional or to launch novel functionalities by tailoring curvature and three-dimensional (3D) shape. The degree of effect is particularly high for vector properties like the magnetization due to an emergent inversion symmetry breaking. Aside from capabilities to design and synthesize 3D magnetic architectures, proper characterization methods, such as magnetic tomographic imaging techniques, need to be developed to obtain a thorough understanding of the system’s response under external stimuli. The main objective of this thesis is to develop a visualization technique that provides nanometer spatial resolution to image the peculiarities of the magnetic domain patterns on extended 3D curved surfaces. The proposed and realized concept of magnetic soft X-ray tomography (MXT), based on the X-ray magnetic circular dichroism (XMCD) effect with soft X-ray microscopies, has the potential to become a powerful tool to investigate element specifically an entirely new class of 3D magnetic objects with virtually any shape and magnetization. Imaging curved surfaces meets the challenge of three-dimensionality and requires a profound understanding of the recorded XMCD contrast. These experiences are gained by visualizing magnetic domain patterns on two distinct 3D curved surfaces, namely magnetic cap structures and rolled-up magnetic nanomembranes with cylindrical shape. The capability of MXT is demonstrated by reconstructing the magnetic domain patterns on 3D curved surfaces resembling hollow cylindrical objects
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Chia, Yan Wah. "Radiation from curved (conical) frequency selective surfaces." Thesis, Loughborough University, 1993. https://dspace.lboro.ac.uk/2134/7200.

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The thesis deals with the analysis of a microwave Frequency Selective Surface (FSS) on a conical dielectric radome illuminated by a feed hom located at the base. Two approaches have been adopted to solve this problem. The first approach is to calculate the element currents under the assumption that the surface is locally flat. Consequently, the element current at that locality can be determined by employing Floquet modal analysis. The local incidence has been modelled from the radiation pattern of the source or the aperture fields of the feed. Three types of feed model were used to account for the field illumination on the radome. The transmitted fields from the curved surface are obtained from the sum of the radiated fields due to the equivalent magnetic and electric current sources distributed in each local unit cell of the conical surface. This method treats the interaction of neighbouring FSS elements only. In the second approach the curvature is taken into account by dividing the each element into segments which conform to the curved surface. An integral formulation is used to take into account the interaction of all the elements. The current source in each FSS element from the formulation is solved using the method of moments (MOM) technique. A linear system of simultaneous equations is obtained from the MOM and has been solved using elimination method and an iterative method which employs conjugate gradients. The performance of both methods has been compared with regard to the speed of computations and the memory storage capability. New formulations using quasi static approximations have been derived to account for thin dielectric backing in the curved aperture FSS analysis. Computer models have been developed to predict the radiation performance of the curved(conical) FSS. Experiments were performed in an anechoic chamber where the FSS cone was mounted on a jig resting on a turntable. The measuring setup contained a sweep oscillator that supplied power to a transmitting feed placed at the base of the cone. Amplitude and phase values of the far field radiation pattern of the cone were measured with the aid of a vector network analyser. Cones with different dimensions and FSS element geometries were constructed and the measured transmission losses and radiation patterns compared with predictions.
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Wang, Qiang. "Atmospheric refraction and propagation over curved surfaces." n.p, 1997. http://ethos.bl.uk/.

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Wang, Qiang. "Atmospheric refraction and propagation over curved surfaces." Thesis, Open University, 1998. http://oro.open.ac.uk/44453/.

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This thesis presents theoretical and experimental investigations of atmospheric refraction and diffraction of sound over curved surfaces. The main contributions of this work are as follows: The development of an alternative method for calculating the influence of wind on sound propagation in the presence of a ground of finite impedance. The development of numerical models to calculate sound propagation due to monopole and dipole sources over cylindrical or spherical convex and concave surfaces of finite impedance. Laboratory measurements of sound propagation over curved surfaces and comparisons with the proposed theoretical and numerical models. The exploration of the theory for surface wave contributions in an upward refracting atmosphere in the light of obtained experimental data and observation of the surface waves above a convex surface. Experimental and theoretical investigations of the effectiveness of a barrier in the presence of sound speed gradients.
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Chelliah, Joel Eelaraj. "Parallel Methods for Projection on Strongly Curved Surfaces." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for datateknikk og informasjonsvitenskap, 2011. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-14979.

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Using the parallel architecture of the graphics processing unit for general purpose programming has become increasingly common in the recent years. The process of creating a mathematically correct transformation of a scene for curved stereoscopic projection is a very expensive task, which would greatly benefit from a massively parallel solution implemented on the GPU.In this thesis, we first investigate two different methods for obtaining a mathematically correct transformation of images intended for stereoscopic projection on strongly curved surfaces. One method revolves around transforming a pre-rendered image, pixel by pixel, while the other method applies the transformation to the projection of the vertices in the scene before they are rendered as an image. We then develop massively parallel solutions for both these methods on the GPU, striving to a reach a real-time rate for the stereoscopic projection of the transformed images.We test both methods for different problem areas, and compare the results to map their strengths and weaknesses. From the obtained results, we conclude that they are both useful in different areas. The vertex transformation performs poorly when the number of vertices in the scene is very high, but for a moderate number of vertices it achieves excellent results, even for exceptionally large image resolutions. The pixel transformation is far less affected by the number of vertices in the scene; however its performance declines rapidly as we increase the size of the image. Both methods were able to execute in real-time for relevant problem sizes.
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Waddell, Rachel C. "Radar cross section synthesis of doubly curved surfaces." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1995. http://handle.dtic.mil/100.2/ADA305445.

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Skau, Karl Isak. "Polymer adsorption on curved surfaces : mean field theories /." [S. l.] : [s. n.], 2003. http://catalogue.bnf.fr/ark:/12148/cb39299054x.

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Nutter, Jamie Ian. "The stability of boundary layers on curved surfaces and surfaces involving abrupt changes." Thesis, Imperial College London, 2015. http://hdl.handle.net/10044/1/26907.

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This thesis is concerned with the effect that boundary-layer instabilities have on laminar- turbulent transition over a commercial aircraft wing. We consider the effect that changing the structure of a wing's surface may have on these instabilities. This thesis is separated into two parts, each concerning a different instability. Firstly our focus is on Tollmien-Schlichting waves; we investigate how abrupt changes may affect boundary-layer transition. The abrupt changes considered are junctions between rigid and porous surfaces. A local scattering problem is formulated; the abrupt changes cause waves to scatter in a subsonic boundary layer. The mechanism is described mathematically by using a triple-deck formalism, while the analysis across the junctions is based in a Wiener- Hopf factorisation. The impact of the wall junctions is characterised by a transmission coefficient, defined as the ratio of the amplitudes of the transmitted and incident waves. From our analysis we determine the effectiveness of porous strips in delaying transition. In the second part of this thesis we concentrate on a curved wing. Over curved sur- faces Görtler vortices may be generated; our focus is on long-wavelength Görtler vortices and the effect of changing curvature. The flow is described using a three-tiered system that balances the displacement and centrifugal forces. Two different problems concerning Görtler vortices are investigated, firstly we consider the effect of slowly varying curvature. Using a WKB approximation we derive multi-scale systems of equations, allowing us to find leading-order analytic solutions. The second problem concerning curved surfaces considers the effect of long-wavelength Görtler vortex-wave interaction. We use vortex-wave interaction theory to describe the evo- lution of this nonlinear interaction over a concave surface, where the curvature is modified in the streamwise direction. Analytical solutions are found for the vortex-induced shear stress and the wave pressure amplitude, using these solutions we solve for the remaining variables numerically.
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Books on the topic "Curved surfaces"

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Gauss, Carl Friedrich. General investigations of curved surfaces. Mineola, N.Y: Dover Publications, 2005.

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Zyda, Michael J. Parametric representation and polygonal decomposition of curved surfaces. Monterey, California: Naval Postgraduate School, 1986.

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Marty, Alain. Pascalian forms: Essay on curved shapes. 2nd ed. Paris: Espérou, 2006.

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Asperl, Andreas. Architectural Geometry. Edited by Daril Bentley. Exton, PA: Bentley Institute Press, 2007.

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

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Abate, Marco, and Francesca Tovena. Curves and Surfaces. Milano: Springer Milan, 2012. http://dx.doi.org/10.1007/978-88-470-1941-6.

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Boissonnat, Jean-Daniel, Albert Cohen, Olivier Gibaru, Christian Gout, Tom Lyche, Marie-Laurence Mazure, and Larry L. Schumaker, eds. Curves and Surfaces. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22804-4.

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Boissonnat, Jean-Daniel, Patrick Chenin, Albert Cohen, Christian Gout, Tom Lyche, Marie-Laurence Mazure, and Larry Schumaker, eds. Curves and Surfaces. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27413-8.

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Curves and surfaces. 2nd ed. Providence, R.I: American Mathematical Society, 2009.

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Montiel, Sebastián. Curves and surfaces. Providence, R.I: American Mathematical Society, 2005.

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Book chapters on the topic "Curved surfaces"

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Campion, Gianni. "Texturing Curved Surfaces." In Springer Series on Touch and Haptic Systems, 113–28. London: Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-576-7_7.

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Han, Qing, and Jia-Xing Hong. "Complete negatively curved surfaces." In Isometric Embedding of Riemannian Manifolds in Euclidean Spaces, 191–224. Providence, Rhode Island: American Mathematical Society, 2006. http://dx.doi.org/10.1090/surv/130/10.

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Attebery, Craig. "Reflections on Curved Surfaces." In The Complete Guide To Perspective Drawing, 305–12. New York : Routledge, 2018.: Routledge, 2018. http://dx.doi.org/10.4324/9781315443560-31.

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Surrel, Y., and F. Pierron. "Deflectometry on Curved Surfaces." In Conference Proceedings of the Society for Experimental Mechanics Series, 217–21. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97481-1_29.

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Shafer, Steven A. "Shadow Geometry for Curved Surfaces." In Shadows and Silhouettes in Computer Vision, 67–82. Boston, MA: Springer US, 1985. http://dx.doi.org/10.1007/978-1-4757-1845-4_7.

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Mölder, S., E. Timofeev, and G. Emanuel. "Shock Detachment from Curved Surfaces." In 28th International Symposium on Shock Waves, 593–98. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25685-1_90.

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van Wijk, Jarke J. "Rendering Lines on Curved Surfaces." In Visualization in Scientific Computing, 113–20. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-77902-2_11.

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Schäfer, Stephan. "Hierarchical Radiosity On Curved Surfaces." In Eurographics, 187–92. Vienna: Springer Vienna, 1997. http://dx.doi.org/10.1007/978-3-7091-6858-5_17.

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Mould, Richard A. "Differential Geometry II: Curved Surfaces." In Basic Relativity, 298–311. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-4326-7_11.

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Kadane, Joseph B., and Parthasarathy Bagchi. "LaPlace Approximation for Curved Surfaces." In Bayesian Analysis in Statistics and Econometrics, 1–12. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4612-2944-5_1.

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Conference papers on the topic "Curved surfaces"

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Ishimaru, A. "Leaky surface waves on curved surfaces." In IEEE Antennas and Propagation Society International Symposium 1992 Digest. IEEE, 1992. http://dx.doi.org/10.1109/aps.1992.221686.

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Roudaut, Anne, Henning Pohl, and Patrick Baudisch. "Touch input on curved surfaces." In the 2011 annual conference. New York, New York, USA: ACM Press, 2011. http://dx.doi.org/10.1145/1978942.1979094.

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Voelker, Simon, Christine Sutter, Lei Wang, and Jan Borchers. "Understanding flicking on curved surfaces." In the 2012 ACM annual conference. New York, New York, USA: ACM Press, 2012. http://dx.doi.org/10.1145/2207676.2207703.

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Stewart, Luke A., Graham D. Marshall, Judith M. Dawes, Michael J. Withford, and Adel Rahmani. "Self-assembly around curved surfaces." In Microelectronics, MEMS, and Nanotechnology, edited by Wieslaw Z. Krolikowski, Costas M. Soukoulis, Ping Koy Lam, Timothy J. Davis, Shanhui Fan, and Yuri S. Kivshar. SPIE, 2007. http://dx.doi.org/10.1117/12.769338.

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Xie, Qianyan, and Donald G. Fesko. "Characterization of curved plastic surfaces." In SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, edited by John C. Stover. SPIE, 1993. http://dx.doi.org/10.1117/12.162648.

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Burckel, D. B., P. Davids, I. Brener, G. A. Ten Eyck, A. R. Ellis, J. R. Wendt, B. S. Passmore, E. A. Shaner, and M. B. Sinclair. "Metamaterial resonators on curved surfaces." In SPIE NanoScience + Engineering, edited by Mikhail A. Noginov, Nikolay I. Zheludev, Allan D. Boardman, and Nader Engheta. SPIE, 2009. http://dx.doi.org/10.1117/12.826903.

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Pottmann, Helmut, Alexander Schiftner, Pengbo Bo, Heinz Schmiedhofer, Wenping Wang, Niccolo Baldassini, and Johannes Wallner. "Freeform surfaces from single curved panels." In ACM SIGGRAPH 2008 papers. New York, New York, USA: ACM Press, 2008. http://dx.doi.org/10.1145/1399504.1360675.

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Böntgen, Tammo, Marc Neufert, and Lars Jensen. "Complex IBS coatings on curved surfaces." In Optical Interference Coatings. Washington, D.C.: OSA, 2019. http://dx.doi.org/10.1364/oic.2019.wd.5.

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Rynne, B. P. "Time domain scattering from curved surfaces." In International Symposium on Antennas and Propagation Society, Merging Technologies for the 90's. IEEE, 1990. http://dx.doi.org/10.1109/aps.1990.115042.

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Vercammen, Martijn L. "Sound concentration caused by curved surfaces." In ICA 2013 Montreal. ASA, 2013. http://dx.doi.org/10.1121/1.4800250.

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Reports on the topic "Curved surfaces"

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Sipus, Zvonimir, Marko Bosiljevac, and Sinisa Skokic. Analysis of Curved Frequency Selective Surfaces. Fort Belvoir, VA: Defense Technical Information Center, May 2008. http://dx.doi.org/10.21236/ada503267.

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Sygula, Andrzej. Polynuclear Aromatic Hydrocarbons with Curved Surfaces: Buckyballs. Office of Scientific and Technical Information (OSTI), August 2016. http://dx.doi.org/10.2172/1335963.

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Wygnanski, Israel J. The Control of Separation from Curved Surfaces and Blunt Trailing Edges. Fort Belvoir, VA: Defense Technical Information Center, July 2002. http://dx.doi.org/10.21236/ada405659.

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Radideau, Peter W. Final Technical Report [Polynuclear aromatic hydrocarbons with curved surfaces: Models and precursors for fullerenes]. Office of Scientific and Technical Information (OSTI), February 2001. http://dx.doi.org/10.2172/810270.

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El-Genk, M. S., and A. G. Glebov. Effect of subcooling and wall thickness on pool boiling from downward-facing curved surfaces in water. Office of Scientific and Technical Information (OSTI), September 1995. http://dx.doi.org/10.2172/107000.

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Marston, Philip L. Scattering and Radiation of High Frequency Sound in Water by Elastic Objects, Particle Suspensions, and Curved Surfaces. Fort Belvoir, VA: Defense Technical Information Center, July 1994. http://dx.doi.org/10.21236/ada283093.

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Harris, John G. Coupled Elastic Surface Wave in Curved Structures. Fort Belvoir, VA: Defense Technical Information Center, February 2000. http://dx.doi.org/10.21236/ada374339.

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8

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

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9

Cheung, F. B., K. H. Haddad, and Y. C. Liu. Critical heat flux (CHF) phenomenon on a downward facing curved surface. Office of Scientific and Technical Information (OSTI), June 1997. http://dx.doi.org/10.2172/491560.

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10

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

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