Relevant bibliographies by topics / CURVATURE SURFACE

Academic literature on the topic 'CURVATURE SURFACE'

Author: Grafiati
Published: 11 September 2023

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Journal articles on the topic "CURVATURE SURFACE"

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Bartkowiak, Tomasz, and Christopher A. Brown. "Multiscale 3D Curvature Analysis of Processed Surface Textures of Aluminum Alloy 6061 T6." Materials 12, no. 2 (January 14, 2019): 257. http://dx.doi.org/10.3390/ma12020257.

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The objectives of this paper are to demonstrate the viability, and to validate, in part, a multiscale method for calculating curvature tensors on measured surface topographies with two different methods of specifying the scale. The curvature tensors are calculated as functions of scale, i.e., size, and position from a regular, orthogonal array of measured heights. Multiscale characterization of curvature is important because, like slope and area, it changes with the scale of observation, or calculation, on irregular surfaces. Curvatures can be indicative of the topographically dependent behavior of a surface and, in turn, curvatures are influenced by the processing and use of the surface. Curvatures of surface topographies have not been well- characterized yet. Curvature has been used for calculations in contact mechanics and for the evaluation of cutting edges. Manufactured surfaces are studied for further validation of the calculation method because they provide certain expectations for curvatures, which depend on scale and the degree of curvature. To study a range of curvatures on manufactured surfaces, square edges are machined and honed, then rounded progressively by mass finishing; additionally, a set of surfaces was made by turning with different feeds. Topographic measurements are made with a scanning laser confocal microscope. The calculations use vectors, normal to the measured surface, which are calculated first, then the eigenvalue problem is solved for the curvature tensor. Plots of principal curvatures as a function of position and scale are presented. Statistical analyses show expected interactions between curvature and these manufacturing processes.
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Bartkowiak, Tomasz, and Christopher Brown. "Multi-scale curvature tensor analysis of machined surfaces." Archives of Mechanical Technology and Materials 36, no. 1 (December 1, 2016): 44–50. http://dx.doi.org/10.1515/amtm-2016-0009.

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Abstract This paper demonstrates the use of multi-scale curvature analysis, an areal new surface characterization technique for better understanding topographies, for analyzing surfaces created by conventional machining and grinding. Curvature, like slope and area, changes with scale of observation, or calculation, on irregular surfaces, therefore it can be used for multi-scale geometric analysis. Curvatures on a surface should be indicative of topographically dependent behavior of a surface and curvatures are, in turn, influenced by the processing and use of the surface. Curvatures have not been well characterized previously. Curvature has been used for calculations in contact mechanics and for the evaluation of cutting edges. In the current work two parts were machined and then one of them was ground. The surface topographies were measured with a scanning laser confocal microscope. Plots of curvatures as a function of position and scale are presented, and the means and standard deviations of principal curvatures are plotted as a function of scale. Statistical analyses show the relations between curvature and these two manufacturing processes at multiple scales.
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Jenmalm, Per, Antony W. Goodwin, and Roland S. Johansson. "Control of Grasp Stability When Humans Lift Objects With Different Surface Curvatures." Journal of Neurophysiology 79, no. 4 (April 1, 1998): 1643–52. http://dx.doi.org/10.1152/jn.1998.79.4.1643.

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Jenmalm, Per, Antony W. Goodwin, and Roland S. Johansson. Control of grasp stability when humans lift objects with different surface curvatures. J. Neurophysiol. 79: 1643–1652, 1998. In previous investigations of the control of grasp stability, humans manipulated test objects with flat grasp surfaces. The surfaces of most objects that we handle in everyday activities, however, are curved. In the present study, we examined the influence of surface curvature on the fingertip forces used when humans lifted and held objects of various weights. Subjects grasped the test object between the thumb and the index finger. The matching pair of grasped surfaces were spherically curved with one of six different curvatures (concave with radius 20 or 40 mm; flat; convex with radius 20, 10, or 5 mm) and the object had one of five different weights ranging from 168 to 705 g. The grip force used by subjects (force along the axis between the 2 grasped surfaces) increased with increasing weight of the object but was modified inconsistently and incompletely by surface curvature. Similarly, the duration and rate of force generation, when the grip and load forces increased isometrically in the load phase before object lift-off, were not influenced by surface curvature. In contrast, surface curvature did affect the minimum grip forces required to prevent frictional slips (the slip force). The slip force was smaller for larger curvatures (both concave and convex) than for flatter surfaces. Therefore the force safety margin against slips (difference between the employed grip force and the slip force) was higher for the higher curvatures. We conclude that surface curvature has little influence on grip force regulation during this type of manipulation; the moderate changes in slip force resulting from changes in curvature are not fully compensated for by changes in grip force.
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Tanaka, Minoru, and Kei Kondo. "The topology of an open manifold with radial curvature bounded from below by a model surface with finite total curvature and examples of model surfaces." Nagoya Mathematical Journal 209 (March 2013): 23–34. http://dx.doi.org/10.1017/s0027763000010679.

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AbstractWe construct distinctive surfaces of revolution with finite total curvature whose Gauss curvatures are not bounded. Such a surface of revolution is employed as a reference surface of comparison theorems in radial curvature geometry. Moreover, we prove that a complete noncompact Riemannian manifold M is homeomorphic to the interior of a compact manifold with boundary if the manifold M is not less curved than a noncompact model surface of revolution and if the total curvature of the model surface is finite and less than 2π. By the first result mentioned above, the second result covers a much wider class of manifolds than that of complete noncompact Riemannian manifolds whose sectional curvatures are bounded from below by a constant.
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Lipnickas, Arūnas, and Vidas Raudonis. "Contour Representation by Clustering Curvatures of the 3D Objects." Solid State Phenomena 147-149 (January 2009): 633–38. http://dx.doi.org/10.4028/www.scientific.net/ssp.147-149.633.

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The purpose of this work is to segment large size triangulated surfaces and the contours extraction of the 3D object by the use of the object curvature value. The curvatures values allow categorizing the type of the local surface of the 3D object. In present work the curvature was estimated for the free-form surfaces obtained by the 3D range scanner. A free-form surface is the surface such that the surface normal is defined and continuous everywhere, except at sharp corners and edges [2, 5]. Two types of distance measurements functions based on Euclidian distance, bounded box and topology of surface were used for the curvature estimation. Clustering technique has been involved to cluster the values of the curvature for 3D object contour representation. The described technique was applied to the 3D objects with free-form surfaces such as the human foot and cube.
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WANG, DAN, YAJUN YIN, JIYE WU, and ZHENG ZHONG. "THE INTERACTION POTENTIAL BETWEEN MICRO/NANO CURVED SURFACE BODY WITH NEGATIVE GAUSS CURVATURE AND AN OUTSIDE PARTICLE." Journal of Mechanics in Medicine and Biology 15, no. 06 (December 2015): 1540055. http://dx.doi.org/10.1142/s0219519415400552.

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Based on the negative exponential pair potential ([Formula: see text]), the interaction potential between curved surface body with negative Gauss curvature and an outside particle is proved to be of curvature-based form, i.e., it can be written as a function of curvatures. Idealized numerical experiments are designed to test the accuracy of the curvature-based potential. Compared with the previous results, it is confirmed that the interaction potential between curved surface body and an outside particle has a unified expression of curvatures regardless of the sign of Gauss curvature. Further, propositions below are confirmed: Highly curved surface body may induce driving forces, curvatures and the gradient of curvatures are the essential factors forming the driving forces.
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Wang, Dan, Zhili Hu, Gang Peng, and Yajun Yin. "Surface Energy of Curved Surface Based on Lennard-Jones Potential." Nanomaterials 11, no. 3 (March 9, 2021): 686. http://dx.doi.org/10.3390/nano11030686.

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Although various phenomena have confirmed that surface geometry has an impact on surface energy at micro/nano scales, determining the surface energy on micro/nano curved surfaces remains a challenge. In this paper, based on Lennard-Jones (L-J) pair potential, we study the geometrical effect on surface energy with the homogenization hypothesis. The surface energy is expressed as a function of local principle curvatures. The accuracy of curvature-based surface energy is confirmed by comparing surface energy on flat surface with experimental results. Furthermore, the surface energy for spherical geometry is investigated and verified by the numerical experiment with errors within 5%. The results show that (i) the surface energy will decrease on a convex surface and increase on a concave surface with the increasing of scales, and tend to the value on flat surface; (ii) the effect of curvatures will be obvious and exceed 5% when spherical radius becomes smaller than 5 nm; (iii) the surface energy varies with curvatures on sinusoidal surfaces, and the normalized surface energy relates with the ratio of wave height to wavelength. The curvature-based surface energy offers new insights into the geometrical and scales effect at micro/nano scales, which provides a theoretical direction for designing NEMS/MEMS.
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Kong, Ling Ye, Qiu Sheng Yan, Jun Hui Song, and Ya Nan Song. "Research on Uniform Surface Roughness in Grinding of Revolving Curved Surface." Key Engineering Materials 416 (September 2009): 113–17. http://dx.doi.org/10.4028/www.scientific.net/kem.416.113.

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When grinding the revolving curved surface with Arc Envelope Grinding Method, the different curvatures in the convex and concave surfaces make a great difference in the surface roughness. In order to solve this problem, the relationship among envelope height, feeding rate, rotational speed and curvature of workpiece was analyzed based on equal-envelope-height grinding method. The results presented that, low feeding rate of grinding wheel and high rotational speed of workpiece were helpful to obtain smaller envelope height. And the smaller the radius of workpiece curvature, the more different the surface roughness. Besides, it was an effective method to solve this problem by changing feeding rate. The feeding rate should be changed directly proportionally to radius of workpiece curvature. Then, the experimental results indicate that, the fluctuation ratio of surface roughness with variable feeding rate is reduced to 4.896% from 26.17% with constant feeding rate. It proves the validity of hypothesis.
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Abdel-Baky, Rashad A., Nadia Alluhaibi, Akram Ali, and Fatemah Mofarreh. "A study on timelike circular surfaces in Minkowski 3-space." International Journal of Geometric Methods in Modern Physics 17, no. 06 (May 2020): 2050074. http://dx.doi.org/10.1142/s0219887820500747.

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This paper studies a smooth one-parameter family of standard Lorentzian circles with fixed radius. Such a surface is called a timelike circular surface with constant radius. We call each circle a generating circle. A new type of timelike circular surfaces was identified and coined as the timelike tangent circular surface. The new timelike tangent circular surface has the property of all generating circles being lines of curvature and its Gaussian and mean curvatures being independent of the geodesic curvature of the spherical indicatrix.
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Milin Šipuš, Željka, and Blaženka Divjak. "Surfaces of Constant Curvature in the Pseudo-Galilean Space." International Journal of Mathematics and Mathematical Sciences 2012 (2012): 1–28. http://dx.doi.org/10.1155/2012/375264.

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We develop the local theory of surfaces immersed in the pseudo-Galilean space, a special type of Cayley-Klein spaces. We define principal, Gaussian, and mean curvatures. By this, the general setting for study of surfaces of constant curvature in the pseudo-Galilean space is provided. We describe surfaces of revolution of constant curvature. We introduce special local coordinates for surfaces of constant curvature, so-called the Tchebyshev coordinates, and show that the angle between parametric curves satisfies the Klein-Gordon partial differential equation. We determine the Tchebyshev coordinates for surfaces of revolution and construct a surface with constant curvature from a particular solution of the Klein-Gordon equation.
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Dissertations / Theses on the topic "CURVATURE SURFACE"

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Robinson, Sebastian Thomas. "Curvature-based surface fairing." Thesis, University of Bath, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.488895.

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In the computer aided engineering environment, exceptionally smooth but irregular surfaces are often required, such as car bonnets. It is often a lengthy process to design these surfaces to the degree of smoothness and aesthetic beauty that is required by the designer. Smoothing these surfaces is known as fairing and a variety of techniques exist to tackle the problem in different ways. A new method of surface fairing is proposed and demonstrated in this thesis. Many conventional fairing methods use an agreeable curvature plot across the surface as proof of fairness, the method documented here takes the more holistic approach of constructing the improved surface from an agreeable curvature plot.
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Karkanis, Tasso. "Curvature dependent implicit surface tiling." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape7/PQDD_0003/MQ45948.pdf.

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Nunnery, Grady A. "The influence of surface curvature on polymer behavior at inorganic surfaces." Diss., Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/33929.

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Nanoscale surfaces were examined in order to determine the influence of surface curvature on polymer behavior at polymer-ceramic interfaces, as well as the influence of nanoparticles in cellulosic media. Poly(methyl methacrylate) and block copolymers thereof were adsorbed onto porous alumina substrates of various pore sizes in order to determine how polymer and copolymer adsorption behavior at nanoscale surfaces differs from adsorption onto flat surfaces. It was determined that chain density on concave surfaces dramatically decreases as curvature increases in much the same way that it does on convex surfaces (e.g. on the surface of nanoparticles), and physical models are provided to explain this similarity. Diblock copolymer adsorption is observed to vary dramatically with solvent quality and block asymmetry and can be correlated with the surface curvature very similarly to the adsorptive behavior of homopolymers on those same surfaces. The addition of nanoparticles to cellulosic media was investigated as a means to significantly modify the properties of cellulosic composites with minimal additions of nanoparticles. Although cellulose is among the most abundant polymers on earth, its primary uses are limited to bulk commodity goods, such as paper and textiles. This work demonstrates a simple means to control cellulosic fluid viscosity, thereby increasing the versatility of these biopolymers in additional applications with higher value-added potential. The formation of iron-cellulosic nanocomposites by the in-situ thermolysis of metal carbonyls to form metallic nanoparticles was performed and was analyzed by viscometry among other techniques. It was determined that the nanocomposites that were formed exhibited significantly increased viscosity, up to the point of gelation. Additionally, an introduction to the expansive field of nanocomposites is provided, including how and why composite properties change abruptly as filler size approaches the nanoscale. An extensive background on this diverse field as it relates to the current work is provided with an emphasis on cellulosic nanocomposites and the dependence of curvature on polymer-surface interactions. A detailed account of the experimental work relevant to this work is provided, including materials and characterization methods. Future work is proposed for both cellulosic nanocomposites as well as for curvature-dependent polymer adsorption. Finally, conclusions are drawn from the entire work and its implications to the greater field of nanocomposites.
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McCoy, James A. (James Alexander) 1976. "The surface area preserving mean curvature flow." Monash University, Dept. of Mathematics, 2002. http://arrow.monash.edu.au/hdl/1959.1/8291.

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Sinha, Bhaskar. "Surface mesh generation using curvature-based refinement." Master's thesis, Mississippi State : Mississippi State University, 2002. http://library.msstate.edu/etd/show.asp?etd=etd-09252002-141359.

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Simon, Lentz, and Felix Erksell. "Deriving the shape of the surface from its Gaussian curvature." Thesis, KTH, Skolan för teknikvetenskap (SCI), 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-254698.

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A global statement about a compact surface with constant Gaussian curvature is derived by elementary differential geometry methods. Surfaces and curves embedded in three-dimensional Euclidian space are introduced, as well as several key properties such as the tangent plane, the first and second fundamental form, and the Weingarten map. Furthermore, intrinsic and extrinsic properties of surfaces are analyzed, and the Gaussian curvature, originally derived as an extrinsic property, is proven to be an intrinsic property in Gauss Theorema Egregium. Lastly, through the aid of umbilical points on a surface, the statement that a compact, connected surface with constant Gaussian curvature is a sphere is proven.
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Al-Barwani, Hamdi. "Propagation of fronts with gradient and curvature dependent velocities." Thesis, Loughborough University, 1996. https://dspace.lboro.ac.uk/2134/10341.

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The thesis considers and examines methods of surface propagation, where the normal velocity of the surface depends on the local curvature and the gradient of the surface. Such fronts occur in many different physical situations from the growth of crystals to the spreading of flames. A number of different methods are considered to find solutions to these physical problems. First the motion is modelled by partial differential equations and numerical methods are developed for solving these equations. The numerical methods involve characteristic, finite differences and transformation of the equations. Stability of the solutions is also briefly considered. Secondly the fronts are modelled by using a cellular approach which subdivides space into regions of small cells. The fronts are assumed to propagate through the region according to stochastic rules. Monte-Carlo simulations are carried out using this approach. Results of the simulations are carried out in two-dimensions and three-dimensions for a number of interesting physical examples.
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Monnoyer, F. "The effect of surface curvature on three-dimensional, laminar boundary layers." Doctoral thesis, Universite Libre de Bruxelles, 1985. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/213617.

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Ferreira, Thiago Lucas da Silva, and 92-99320-5663. "Superfícies de translação Weingarten lineares nos espaços euclidiano e Lorentz-Minkowski." Universidade Federal do Amazonas, 2016. https://tede.ufam.edu.br/handle/tede/6458.

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In this dissertation we will present a demonstration that a linear Weingarten translation surface in Euclidean space and Lorentz-Minkowski space should have constant mean curvature or constant Gaussian curvature. The work is based on the article "Translation surfaces of linear Weingarten type" Antonio Bueno and Rafael López.
Nesta dissertação apresentaremos uma demonstração de que uma superfície de translação Weingarten linear no espaço euclidiano e no espaço Lorentz- Minkowski deve ter curvatura média constante ou curvatura de Gauss constante. O trabalho é baseado no artigo "Translation surfaces of linear Weingarten type"de Antonio Bueno e Rafael López.
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Welch, Stephen William. "C¹,α regularity for boundaries with prescribed mean curvature." Diss., University of Iowa, 2012. https://ir.uiowa.edu/etd/3551.

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In this study we provide a new proof of C¹,α boundary regularity for finite perimeter sets with flat boundary which are local minimizers of a variational mean curvature formula. Our proof is provided for curvature term H∈LΩ. The proof is a generalization of Cafarelli and C#243;rdoba's method, and combines techniques from geometric measure theory and the theory of viscosity solutions which have been developed in the last 50 years. We rely on the delicate interplay between the global nature of sets which are variational minimizers of a given functional, and the pointwise local nature of comparison surfaces which satisfy certain PDE. As a heuristic, in our proof we can consider the curvature as an error term which is estimated and controlled at each point of the calculation.
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Books on the topic "CURVATURE SURFACE"

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Karkanis, Tasso. Curvature dependent implicit surface tiling. Ottawa: National Library of Canada, 1999.

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Center, Langley Research, ed. Long-wavelength asymptotics of unstable crossflow modes, including the effect of surface curvature. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.

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Wang, Hong. Ultrasonic characterization of the root radius of curvature in a surface breaking defect. Ottawa: National Library of Canada, 1994.

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Lucio, Maestrello, and Institute for Computer Applications in Science and Engineering, eds. Stability and control of compressible flows over a surface with concave-convex curvature. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1986.

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Center, Langley Research, ed. Long-wavelength asymptotics of unstable crossflow modes, including the effect of surface curvature. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.

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Choudhari, Meelan. Long-wavelength asymptotics of unstable crossflow modes, including the effect of surface curvature. Hampton, Va: Langley Research Center, 1994.

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1966-, Pérez Joaquín, ed. A survey on classical minimal surface theory. Providence, Rhode Island: American Mathematical Society, 2012.

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Surfaces with constant mean curvature. Providence, R.I: American Mathematical Society, 2003.

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López, Rafael. Constant Mean Curvature Surfaces with Boundary. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-39626-7.

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Nitsche, Johannes C. C. Cyclic surfaces of constant mean curvature. Göttingen: Vandenhoeck& Ruprecht, 1990.

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Book chapters on the topic "CURVATURE SURFACE"

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Casey, James. "Surface Measurements." In Exploring Curvature, 154–87. Wiesbaden: Vieweg+Teubner Verlag, 1996. http://dx.doi.org/10.1007/978-3-322-80274-3_12.

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Casey, James. "Intrinsic Geometry of a Surface." In Exploring Curvature, 188–92. Wiesbaden: Vieweg+Teubner Verlag, 1996. http://dx.doi.org/10.1007/978-3-322-80274-3_13.

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Besl, Paul J. "Surface Curvature Characteristics." In Surfaces in Range Image Understanding, 63–115. New York, NY: Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4612-3906-2_3.

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Casey, James. "Parallel Transport of a Vector on a Surface." In Exploring Curvature, 250–63. Wiesbaden: Vieweg+Teubner Verlag, 1996. http://dx.doi.org/10.1007/978-3-322-80274-3_19.

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Xianfeng Gu, David, and Emil Saucan. "Discrete Surface Curvature Flows." In Classical and Discrete Differential Geometry, 477–96. Boca Raton: CRC Press, 2023. http://dx.doi.org/10.1201/9781003350576-20.

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Tapp, Kristopher. "The Curvature of a Surface." In Differential Geometry of Curves and Surfaces, 193–245. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-39799-3_4.

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Tamanini, I. "Interfaces of Prescribed Mean Curvature." In Variational Methods for Free Surface Interfaces, 91–97. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4656-5_10.

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Wilson, Richard C., and Edwin R. Hancock. "Refining surface curvature with relaxation labeling." In Image Analysis and Processing, 150–57. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-63507-6_196.

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Rugis, John, and Reinhard Klette. "A Scale Invariant Surface Curvature Estimator." In Advances in Image and Video Technology, 138–47. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11949534_14.

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Fu, Yongqing, Hejun Du, and Sam Zhang. "Curvature Method as a Tool to Evaluate Shape Memory Effects for Tinicu Thin Films." In Surface Engineering, 305–14. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118788325.ch30.

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Conference papers on the topic "CURVATURE SURFACE"

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Rugis, John. "Projecting surface curvature maps." In ACM SIGGRAPH 2006 Research posters. New York, New York, USA: ACM Press, 2006. http://dx.doi.org/10.1145/1179622.1179817.

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Fan and Wolff. "Surface curvature from integrability." In Proceedings of IEEE Conference on Computer Vision and Pattern Recognition. IEEE Comput. Soc. Press, 1994. http://dx.doi.org/10.1109/cvpr.1994.323876.

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Obata, K. J., S. Saito, and K. Takahashi. "Expansion of capillary force range by probe-tip curvature." In CONTACT/SURFACE 2007. Southampton, UK: WIT Press, 2007. http://dx.doi.org/10.2495/secm070311.

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Palmer, Bennett, Oscar J. Garay, Eduardo García-Río, and Ramón Vázquez-Lorenzo. "Variational Problems which are Quadratic in the Surface Curvatures." In CURVATURE AND VARIATIONAL MODELING IN PHYSICS AND BIOPHYSICS. AIP, 2008. http://dx.doi.org/10.1063/1.2918094.

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Mesmoudi, Mohammed Mostefa, Emanuele Danovaro, Leila De Floriani, and Umberto Port. "Surface Segmentation through Concentrated Curvature." In 2007 14th International Conference on Image Analysis and Processing - ICIAP 2007. IEEE, 2007. http://dx.doi.org/10.1109/iciap.2007.4362854.

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Amalraj, D. J., Kumar Eswaran, and N. Sundararajan. "Determination of the curvature of surfaces and surface profiles." In SC - DL tentative, edited by Leonard A. Ferrari and Rui J. P. de Figueiredo. SPIE, 1990. http://dx.doi.org/10.1117/12.19764.

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Olsson, C., and Y. Boykov. "Curvature-based regularization for surface approximation." In 2012 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2012. http://dx.doi.org/10.1109/cvpr.2012.6247849.

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Patil, Sameer, Thomas Baum, Chow Yin Lai, and Kelvin J. Nicholson. "Surface curvature correction in microwave tomography." In 2018 Australian Microwave Symposium (AMS). IEEE, 2018. http://dx.doi.org/10.1109/ausms.2018.8346959.

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Li*, Yaoguo. "Understanding curvature analyses in gravity gradiometry." In Near-Surface Asia Pacific Conference, Waikoloa, Hawaii, 7-10 July 2015. Society of Exploration Geophysicists, Australian Society of Exploration Geophysicists, Chinese Geophysical Society, Korean Society of Earth and Exploration Geophysicists, and Society of Exploration Geophysicists of Japan, 2015. http://dx.doi.org/10.1190/nsapc2015-053.

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Wildes, Richard P. "Three-dimensional surface curvature from binocular stereodisparity." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.mjj7.

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Consider a binocular stereosystem that observes a curved surface patch. Owing to the geometry of the situation, markings on the surface (e.g., texture) will be imaged differently to the two views. An analysis of certain aspects of this situation is presented. More specifically, the analysis concentrates on the relationships between a surface's 3-D curvature and the differentially projected images of its surface markings. The analysis is based on: (i) following surface features as they are subjected to disparate projection, and (ii) establishing the relationships between the resulting disparity and surface curvature.
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Reports on the topic "CURVATURE SURFACE"

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Hallett, J. B. L51525 Sizing of Girth Weld Defects Using Focused Ultrasonic Beams. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), January 1987. http://dx.doi.org/10.55274/r0010202.

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This project was produced to evaluate the performance of focused beams in sizing and positioning defects in pipeline girth welds. The sound beams from standard flat transducers were focused using acoustic lenses. Two types of plastics, having different sound velocities are used in the design of these lenses. One is used for the lens and the other for the wedge. The profile of the lens/wedge boundary was designed to focus the sound at a selected depth. The design takes into account the beam angle, beam diameter, focal point and working range required. The effects of test surface curvature were also incorporated into the design. This project was conducted in three phases using sample welds containing real defects, such as root cracks, slag and lack of sidewall fusion. In Phase III the individual defect size predictions were compared to the actual defects found during destructive examination. Only the readings where the signal sources could be positively identified as defects by breaking open or sectioning were included. All measurements were made to the nearest 0.5 mm (0.02 inches).
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Levay, Peter. Chaotic Scattering on Noncompact Surfaces of Constant Negative Curvature. GIQ, 2012. http://dx.doi.org/10.7546/giq-1-2000-145-157.

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Brander, David, and Wayne Rossman. Constant Mean Curvature Surfaces in Euclidean and Minkowski Three-Spaces. GIQ, 2012. http://dx.doi.org/10.7546/giq-10-2009-133-142.

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Quintino, Aurea. Constant Mean Curvature Surfaces at the Intersection of Integrable Geometries. GIQ, 2012. http://dx.doi.org/10.7546/giq-12-2011-305-319.

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Brander, David, and Wayne Rossman. Constant Mean Curvature Surfaces in Euclidean and Minkowski 3-spaces. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-12-2008-15-26.

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Montes, Rodrigo Ristow. A Remark on Compact Minimal Surfaces in S5 With Non-Negative Gaussian Curvature. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-11-2008-41-48.

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