Relevant bibliographies by topics / Curvature continuity

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Curvature continuity'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Curvature continuity"

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Pegna, Joseph, and Franz-Erich Wolter. "Geometrical Criteria to Guarantee Curvature Continuity of Blend Surfaces." Journal of Mechanical Design 114, no. 1 (1992): 201–10. http://dx.doi.org/10.1115/1.2916918.

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Computer Aided Geometric Design (CAGD) of surfaces sometimes presents problems that were not envisioned in classical differential geometry. This paper presents mathematical results that pertain to the design of curvature continuous blending surfaces. Curvature continuity across normal continuous surface patches requires that normal curvatures agree along all tangent directions at all points of the common boundary of two patches, called the linkage curve. The Linkage Curve theorem proved here shows that, for the blend to be curvature continuous when it is already normal continuous, it is suffic
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Shi, K. L., J. H. Yong, L. Tang, J. G. Sun, and J. C. Paul. "Polar NURBS Surface with Curvature Continuity." Computer Graphics Forum 32, no. 7 (2013): 363–70. http://dx.doi.org/10.1111/cgf.12244.

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Jones, A. K. "Nonrectangular surface patches with curvature continuity." Computer-Aided Design 20, no. 6 (1988): 325–35. http://dx.doi.org/10.1016/0010-4485(88)90114-5.

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Bertolazzi, Enrico, and Marco Frego. "Interpolating clothoid splines with curvature continuity." Mathematical Methods in the Applied Sciences 41, no. 4 (2017): 1723–37. http://dx.doi.org/10.1002/mma.4700.

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Vaccaro, Marzia Sara, Francesco Marotti de Sciarra, and Raffaele Barretta. "On the regularity of curvature fields in stress-driven nonlocal elastic beams." Acta Mechanica 232, no. 7 (2021): 2595–603. http://dx.doi.org/10.1007/s00707-021-02967-w.

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AbstractElastostatic problems of Bernoulli–Euler nanobeams, involving internal kinematic constraints and discontinuous and/or concentrated force systems, are investigated by the stress-driven nonlocal elasticity model. The field of elastic curvature is output by the convolution integral with a special averaging kernel and a piecewise smooth source field of elastic curvature, pointwise generated by the bending interaction. The total curvature is got by adding nonelastic curvatures due to thermal and/or electromagnetic effects and similar ones. It is shown that fields of elastic curvature, assoc
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Ye, Xiuzi. "The Gaussian and mean curvature criteria for curvature continuity between surfaces." Computer Aided Geometric Design 13, no. 6 (1996): 549–67. http://dx.doi.org/10.1016/0167-8396(95)00044-5.

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Farin, G. "Curvature continuity and offsets for piecewise conics." ACM Transactions on Graphics 8, no. 2 (1989): 89–99. http://dx.doi.org/10.1145/62054.62056.

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Hagen, Hans. "Bezier-curves with curvature and torsion continuity." Rocky Mountain Journal of Mathematics 16, no. 3 (1986): 629–38. http://dx.doi.org/10.1216/rmj-1986-16-3-629.

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Pottman, Helmut. "Locally controllable conic splines with curvature continuity." ACM Transactions on Graphics 10, no. 4 (1991): 366–77. http://dx.doi.org/10.1145/116913.116916.

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Zheng, Jianmin, Guozhao Wang, and Youdong Liang. "Curvature continuity between adjacent rational Bézier patches." Computer Aided Geometric Design 9, no. 5 (1992): 321–35. http://dx.doi.org/10.1016/0167-8396(92)90027-m.

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Dissertations / Theses on the topic "Curvature continuity"

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Chao, Tung-yo. "The numerical modelling of rockbolts in geomechanics by finite element methods." Thesis, Brunel University, 1999. http://bura.brunel.ac.uk/handle/2438/5137.

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In tunnel excavation, the use of rockbolts has long been a popular means of reinforcement in rock masses to prevent the rock opening from caving in. The idea has evolved from the earliest form of rockbolt made of wood to the more up-to-date form of pre-tensioned or grouted steel rockbolts. A major breakthrough in the design of rockbolt models was made by Aydan (1989). This rockbolt element was modelled in coupled form, with one sub-element representing the steel bolt, and the other sub-element the grout. This representation was necessary to model the complex action in the continuous rock mass
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Schiavon, Laurent. "Conditions de monotonie de la courbure pour les courbes et splines d'interpolation." Valenciennes, 2002. https://ged.uphf.fr/nuxeo/site/esupversions/ebd449f2-087e-4588-b4a1-bedcc9b86660.

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Pour une courbe, la courbure est une grandeur géométrique déterminante pour sa forme. Dans de nombreuses applications de la CAO (automobile, aéronautique), les courbes que l'on cherche à modéliser doivent être à courbure monotone, dans le but d'obtenir des formes aérodynamiques et esthétiques. Dans ce travail, nous apportons des solutions via les courbes polynomiales cubiques et rationnelles quadratiques (arcs coniques) quisont controlées par un ensemble de points (et de masses dans le cas rationnel)<br>For a curve, the curvature is a deciding geometric feature for its shape. For some applicat
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Nguyen, Xuan Viet Nhan. "Structure métrique et géométrie des ensembles définissables dans des structures o-minimales." Thesis, Aix-Marseille, 2015. http://www.theses.fr/2015AIXM4742/document.

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L'objectif de la thèse est l'étude des propriétés géométriques des ensembles définissables dans les structures o-minimales et de ses applications. Il existe trois principaux résultats présentés dans cette thèse. Le premier est une preuve géométrique de l'existence de stratifications vérifiant les conditions (a) et (b) de Whitney d'ensembles définissables. Ce résultat fut d'abord prouvé par T. L. Loi en 1994 par une autre méthode. Le second est une preuve de l'existence de stratifications de Lipschitz (dans le sens de Mostowski) pour les ensembles définissables dans une structure o-minimale pol
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Antonelli, Michele. "Metodi per la correzione delle superfici di suddivisione di Catmull-Clark intorno ai vertici straordinari." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2011. http://amslaurea.unibo.it/2526/.

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Presentiamo alcune proposte di modifica alle superfici di suddivisione di Catmull-Clark, per garantire la continuità del secondo ordine anche nei vertici straordinari e una buona qualità di forma. La ricerca di questi miglioramenti è motivata dal tentativo di integrazione delle superfici di suddivisione in un sistema di modellazione geometrica in contesto CAD/CAGD, il quale richiede che certi requisiti di regolarità e qualità siano soddisfatti. Illustriamo due approcci differenti per la modifica della superficie limite. Il primo prevede il blending tra la superficie originale e una superficie
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Books on the topic "Curvature continuity"

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United States. National Aeronautics and Space Administration., ed. Curvature continuity in arbitrary bicumic bezier patches: Final report. NASA-Langley Research Center, 1990.

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Curvature continuity of cubic Bezier curves in the solid modeling aerospace research tools design software: Interim report. NASA Langley Research Center, 1990.

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Book chapters on the topic "Curvature continuity"

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Ohtsuka, Takeshi. "Spatial Lipschitz Continuity of Viscosity Solution to Level Set Equation for Evolving Spirals by Eikonal-Curvature Flow." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66764-5_11.

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Elbanhawi Mohamed, Simic Milan, and Jazar Reza. "Continuous-Curvature Bounded Trajectory Planning Using Parametric Splines." In Frontiers in Artificial Intelligence and Applications. IOS Press, 2014. https://doi.org/10.3233/978-1-61499-405-3-513.

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This paper investigates trajectory generation for curvature continuous paths. A car-like wheeled robot platform is considered. Planning is performed using a single B-spline curve that maintains continuity through the path. Constraints such as bounded curvature, velocity, and acceleration limits are considered. We minimize the traversal time while maintaining continuity and obeying the robot's constraints. Simulation experiments were successfully conducted to verify the efficiency and robustness of this approach.
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Snygg, John. "Curved Spaces Embedded in Higher Dimensional Flat Spaces." In Clifford Algebra. Oxford University PressNew York, NY, 1997. http://dx.doi.org/10.1093/oso/9780195098242.003.0004.

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Abstract If you have a cursory knowledge of differential geometry, you may wish to skip this chapter. This chapter is devoted to looking at some aspects of m-dimensional surfaces embedded in n-dimensional pseudo-Euclidean spaces. Much of the chapter is further specialized to 2-dimensional surfaces embedded in E We discuss these surfaces to introduce such notions as curvature, Christoffel symbols, and parallel transport. Also on these surfaces, it is possible to motivate the requirement that a derivative operator be torsion free. Nonetheless, if you have encountered these concepts elsewhere, yo
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Converso, Stefano. "The Fabrication of “The Cloud”." In Advances in Media, Entertainment, and the Arts. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-3993-3.ch018.

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The chapter shows the optimization, rationalization, and design development process of the doubly curved wooden cladding of the main auditorium for the New Congress Center of Rome (mostly known as “the cloud”: “la nuvola”), designed by Massimiliano Fuksas, and completed in 2016. The author has been hired by the subcontractors to perform the design development of the original project and to develop a precise geometry of tessellation and a strategy for fabricating efficiently the wooden panels and the corresponding metal substructure of the cladding surfaces by preparing the geometry for direct
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Ciulla, Carlo. "Equating the Two Intensity-Curvature Terms, Before and After Interpolation, Attempting to Obtain Resilient Interpolation." In Improved Signal and Image Interpolation in Biomedical Applications. IGI Global, 2009. http://dx.doi.org/10.4018/978-1-60566-202-2.ch012.

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As well accepted in literature it should be almost impossible to reconstruct the signal intensity value at time-space location where the sampling instrument has not recorded the signal. This happens because sampling is a discrete process, while instead signals (as those of biological nature among others) are continuous. Indeed this mismatch between nature and humanly invented devices gives immediate explanation as to why interpolation is a signal reconstruction technique that has quite substantial and general relevance. This chapter introduces the novel concept of resilient interpolation for t
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Conference papers on the topic "Curvature continuity"

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Roncolini, Francesca, and Giuseppe Quaranta. "Manned-Unmanned Teaming Applied To HEMS Missions: A Path Planning Approach Based On The Pilot's Workload Assessment." In Vertical Flight Society 80th Annual Forum & Technology Display. The Vertical Flight Society, 2024. http://dx.doi.org/10.4050/f-0080-2024-1213.

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This paper presents a path planning concept based on the Manned-Unmanned Teaming (MUM-T) between the helicopter and a drone. The drone flies ahead of the helicopter to detect possible unexpected obstacles in the mission area and sends the data to the helicopter. The path of the helicopter is automatically replanned to avoid the meteorological and physical obstacles detected by the drone. The path planning is based on the Rapidly-exploring Random Tree (RRT) and the Bidirectional Rapidly-exploring Random Tree (BiRRT) algorithms. The reference trajectory is planned by means of the RRT algorithm a
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You, L. H., X. Y. You, and Jian J. Zhang. "Curvature Continuity Solid Blending." In 2010 International Conference on Computational Intelligence and Software Engineering (CiSE). IEEE, 2010. http://dx.doi.org/10.1109/cise.2010.5677186.

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Song, Yin, and Chunwei Gu. "Effects of Curvature Continuity of Compressor Blade Profiles on Their Performances." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-25804.

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Curvature discontinuity may exist in the surface, especially at the leading edge, of a compressor blade. The importance of curvature continuity or discontinuity has been realized, but its definite influences and mechanisms still need research. In this paper, an optimization method is proposed to design continuous-curvature blade profiles from datum blades, and a Reynolds-Averaged Navier-Stokes (RANS) solver with a transition model is used to examine the flowfields and performances of different blade profiles. Large eddy simulations of several cases are also presented to validate the RANS resul
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Szeliski, Richard, David Tonnessen, and Demetri Terzopoulos. "Curvature and continuity control in particle-based surface models." In SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, edited by Baba C. Vemuri. SPIE, 1993. http://dx.doi.org/10.1117/12.146623.

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Ye, Xiuzi, and Horst Nowacki. "Optimal Tangent-Plane and Curvature Continuous Modification of Curves at a Common Nodepoint." 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/detc1995-0007.

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Abstract Curvature continuity of curves at nodepoints is required in modeling tangent-plane and curvature continuous n-sided surfaces and surfaces over arbitrary curve meshes. This paper provides methods for optimal modification of curves at a common nodepoint, to make them tangent-plane and curvature continuous at the nodepoint. These methods can also be used to optimally estimate the intrinsic measures such as the Gaussian and mean curvatures of surfaces with discrete line and curve mesh representations such as triangular meshes.
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You, X. Y., F. Tian, and W. Tang. "A unified approach to blending of constant and varying parametric surfaces with curvature continuity." In Computer Graphics International 2018. ACM Press, 2018. http://dx.doi.org/10.1145/3208159.3208172.

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Wang, Dan, R. Gobithaasan, Tadatoshi Sekina, Shin Usuki, and Kenjiro Miura. "Interpolation of Point Sequences with Extremum of Curvature by Log-aesthetic Curves with G2 continuity." In CAD'20. CAD Solutions LLC, 2020. http://dx.doi.org/10.14733/cadconfp.2020.313-317.

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Banzhaf, Holger, Nijanthan Berinpanathan, Dennis Nienhuser, and J. Marius Zollner. "From G2 to G3 Continuity: Continuous Curvature Rate Steering Functions for Sampling-Based Nonholonomic Motion Planning." In 2018 IEEE Intelligent Vehicles Symposium (IV). IEEE, 2018. http://dx.doi.org/10.1109/ivs.2018.8500653.

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da Silveira, Lauro Massao Yamada, and Clo´vis de Arruda Martins. "A Numerical Method to Solve the Static Problem of a Catenary Riser." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51390.

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The static configuration of a catenary riser can be obtained, with a good approximation, by a perfectly flexible cable model. However, such a model cannot deal with all the boundary conditions, as for an ideal cable there is no continuity of curvature at the touchdown point, at the top and at the points where there is change in the submerged weight. At the touchdown region, for instance, the cable model overestimates the maximum curvature. For real risers, the bending stiffness effect is relevant only at small boundary layers around the points where the cable model cannot represent well the cu
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Wang, Ke, Yaping Ju, and Chuhua Zhang. "Effects of Curvature Radius of Volute Profile on Aerodynamic Performance of Squirrel Cage Fan." In ASME-JSME-KSME 2019 8th Joint Fluids Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/ajkfluids2019-5078.

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Abstract Volute profile exerts great influences on flow losses and aerodynamic performance of squirrel cage fan. In practical, equilateral- or inequilateral-element method is usually applied to design the volute profile for convenient manufacture. This kind of volute profile consists of several arc segments, however, is discontinuous for curvature radius at the junctions of adjacent arc segments. To overcome this issue, we propose a new volute profiling method to guarantee the continuity of curvature radius along the whole volute profile. By means of three-dimensional computation fluid dynamic
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