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Relevant bibliographies by topics / Open Uniform B-Spline Curve

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Academic literature on the topic 'Open Uniform B-Spline Curve'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

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Journal articles on the topic "Open Uniform B-Spline Curve"

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Luo, Yi Ping, Zhuang De Jiang, B. Li, and Y. G. Wang. "Surface Reconstruction Based on Laser Scan Data." Key Engineering Materials 295-296 (October 2005): 693–98. http://dx.doi.org/10.4028/www.scientific.net/kem.295-296.693.

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The problem of freeform surface reconstruction starting from a cloud of points measured by a laser scanning system is examined. The objective is to fully integrate reverse engineering and laser scanning for rapid product development. The measuring principle and the configuration of the system are investigated. Based on non-uniform rational B-spline (NURBS) curve and surface, the freeform curve, the surface reconstruction method, the step and parameterization algorithms are introduced. The interfaces between initial graphic exchange specification (IGES) and stereo lithography interface specific

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Yang, Lin, Shuai Nan Ren, Zhen Yu Wang, and Peng Zhang. "Research on Spiral Bevel Gear Tooth Surface Reconstruction Based on NURBS." Applied Mechanics and Materials 130-134 (October 2011): 701–5. http://dx.doi.org/10.4028/www.scientific.net/amm.130-134.701.

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The tooth surface shape of spiral bevel gear is complex. In the detection process of errors tooth surface model is constructed based on coordinate data of limited the actual tooth surface sampling points. The model is used to analysis and manufacture of gear to meet the processing requirements. NURBS (non-uniform rational B-Spline) method is the most effective reconstruction method for geometry there are both freedom and analytic curves and surfaces. NURBS method is used to calculate non-uniform knot vector, NURBS control points and B-Spline inverse and reconstruct tooth surface. Reconstructio

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Kačala, Viliam, and Csaba Török. "Optimal Approximation of Biquartic Polynomials by Bicubic Splines." EPJ Web of Conferences 173 (2018): 03012. http://dx.doi.org/10.1051/epjconf/201817303012.

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Recently an unexpected approximation property between polynomials of degree three and four was revealed within the framework of two-part approximation models in 2-norm, Chebyshev norm and Holladay seminorm. Namely, it was proved that if a two-component cubic Hermite spline’s first derivative at the shared knot is computed from the first derivative of a quartic polynomial, then the spline is a clamped spline of classC2and also the best approximant to the polynomial.Although it was known that a 2 × 2 component uniform bicubic Hermite spline is a clamped spline of classC2if the derivatives at the

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Hibler, W. D., and Erland M. Schulson. "On modeling sea-ice fracture and flow in numerical investigations of climate." Annals of Glaciology 25 (1997): 26–32. http://dx.doi.org/10.3189/s0260305500190019.

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Sea ice on the large scale is characterized by leads and ridges that typically have a given orientation. Because of various flaws, we would expect that the ice will form oriented leads and ice-thickness characteristics that control the heat and moisture fluxes into the atmosphere. Prediction of these oriented leads, ridges and slip lines is relevant to understanding the role of ice mechanics in global climate change as they can play a significant role in the ice-thickness distribution.In this paper we develop a model for the dynamical treatment of leads and oriented flaws in large-scale sea-ic

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Li, Jun Cheng, Guo Hua Chen, and Lian Yang. "The Quadratic Trigonometric B-Spline Curve with a Shape Parameter." Advanced Materials Research 468-471 (February 2012): 2463–66. http://dx.doi.org/10.4028/www.scientific.net/amr.468-471.2463.

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A quadratic trigonometric B-spline curve analogous to the standard quadratic uniform B-spline curve, with a shape parameter, is presented in this work. The shape of the proposed curve can be adjusted by altering the value of the shape parameter while the control polygon is kept unchanged. With the shape parameter, the quadratic trigonometric B-spline curve can be closer to given polygon than the standard quadratic uniform B-spline curve. The proposed curve can be used to accurately represent the ellipse.

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Li, Ai Min, and Hai Bo Tian. "A Multiresolution Fairing Approach for NURBS Curves." Applied Mechanics and Materials 215-216 (November 2012): 1205–8. http://dx.doi.org/10.4028/www.scientific.net/amm.215-216.1205.

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Curve fairing has an important influence on curve editing and geometric modeling. Though there has been several different kinds of fairing methods, Multiresolution curve fairing has higher efficiency and simpler algorithms. Different from existing multiresolution curve fairing, a new multiresolution approach is presented based on non-uniform semiorthogonal B-spline wavelets, which can be applied for NURBS curve fairing. It has no restriction to B-spline curves’ knot sequence. This method effectively overcomes the limit of uniform or quasi-uniform B-spline wavelets for fairing. A detailed examp

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WU, Sheng, Xin-yu GUO, Bo-xiang XIAO, Sheng-lian LU, and Wei-liang WEN. "Encryption algorithm based on non-uniform B-spline curve." Journal of Computer Applications 31, no. 2 (2011): 517–19. http://dx.doi.org/10.3724/sp.j.1087.2011.00517.

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Wang, Xi, Cui Cui Gao, and Chen Jiang. "Cubic Uniform B-Spline Curve and Surface with Multiple Shape Parameters." Applied Mechanics and Materials 543-547 (March 2014): 1860–63. http://dx.doi.org/10.4028/www.scientific.net/amm.543-547.1860.

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In order to construct B-spline curves with local shape control parameters, a class of polynomial basis functions with two local shape parameters is presented. Properties of the proposed basis functions are analyzed and the corresponding piecewise polynomial curve is constructed with two local shape control parameters accordingly. In particular, the G1 continuous and the shapes of other segments of the curve can remain unchangeably during the manipulation on the shape of each segment on the curve. Numerical examples illustrate that the constructed curve fit to the control polygon very well. Fur

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Li, Ai Min, Wei Guo, Hai Bo Tian, and Fa Rong Kou. "Wavelet-Based Multiresolution NURBS Curve Fairing." Advanced Materials Research 314-316 (August 2011): 1562–65. http://dx.doi.org/10.4028/www.scientific.net/amr.314-316.1562.

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A multiresolution approach is presented for NURBS curve fairing based on nonuniform semiorthogonal B-spline wavelets built. This method provides greater flexibility and applicability than uniform B-spline wavelets for multiresolution curve fairing. An example is presented to validate effectiveness of this multiresolution fairing method. Furthermore, the algorithm can be easily applied to NURBS curves in three dimensions as well as in two.

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DUBE, MRIDULA, and REENU SHARMA. "PIECEWISE QUARTIC TRIGONOMETRIC POLYNOMIAL B-SPLINE CURVES WITH TWO SHAPE PARAMETERS." International Journal of Image and Graphics 12, no. 04 (2012): 1250028. http://dx.doi.org/10.1142/s0219467812500283.

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Analogous to the quartic B-splines curve, a piecewise quartic trigonometric polynomial B-spline curve with two shape parameters is presented in this paper. Each curve segment is generated by three consecutive control points. The given curve posses many properties of the B-spline curve. These curves are closer to the control polygon than the different other curves considered in this paper, for different values of shape parameters for each curve. With the increase of the value of shape parameters, the curve approach to the control polygon. For nonuniform and uniform knot vector the given curves

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Dissertations / Theses on the topic "Open Uniform B-Spline Curve"

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Ramaswami, Hemant. "A Novel Method for Accurate Evaluation of Size for Cylindrical Components." University of Cincinnati / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1267548284.

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Qu, Ruibin. "Recursive subdivision algorithms for curve and surface design." Thesis, Brunel University, 1990. http://bura.brunel.ac.uk/handle/2438/5447.

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In this thesis, the author studies recursIve subdivision algorithms for curves and surfaces. Several subdivision algorithms are constructed and investigated. Some graphic examples are also presented. Inspired by the Chaikin's algorithm and the Catmull-Clark's algorithm, some non-uniform schemes, the non-uniform corner cutting scheme and the recursive subdivision algorithm for non-uniform B-spline curves, are constructed and analysed. The adapted parametrization is introduced to analyse these non-uniform algorithms. In order to solve the surface interpolation problem, the Dyn-Gregory-Levin's 4-

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Chan, Po Chuan, and 詹博鈞. "Design and analysis of a open-uniform nonrational B-spline horn." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/842x9x.

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碩士<br>國立中興大學<br>精密工程學系所<br>101<br>A new horn for high displacement amplification is developed. The profile of the horn is a open uniform nonrational B-Spline curve. The ultrasonic actuation of the horn exploits the first longitudinal displacement mode of the horn. The horn is designed by an optimization scheme. Prototypes of the horns are manufactured by a numerical control machining process. Performances of the proposed horn were evaluated by experiments. Experimental results of the fabricated horn confirm the effectiveness of the design method. The displacement amplification of the proposed

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Lin, Yang-Jie, and 林揚傑. "Non-Uniform Rational B-spline Curve Interpolator Apply to Selective Laser Sintering Electrical Circuits." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/c88nsm.

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碩士<br>國立交通大學<br>機械工程系所<br>105<br>In this thesis, we developed a selective laser sintering (SLS) system with NURBS curve interpolator, and sintering the silver nanoparticles ink on a flexible substrate. Take advantage of laser for reducing thermal damage of substrate, which allow us to use lower laser power to sinter the silver nanoparticles ink. To ensure that sintered silver nanoparticles can be used for conductive line, the experiment are designed for laser power in the range of 100 ~250 mW and the scanning speed in the range of 2~5 mm/s. The best electrical conductivity of the experiment re

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Lin, Dong-Ying, and 林東瑩. "The Design and Implementation of a Non-Uniform Rational B-Spline Curve and Surface Chip." Thesis, 2000. http://ndltd.ncl.edu.tw/handle/29069599169491932475.

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碩士<br>國立臺灣科技大學<br>電子工程系<br>88<br>B-Splines and Non-Uniform Rational B-Splines (NURBS) have become the essential modeling primitives in computer graphics and geometric modeling applications. In this thesis, we propose a modified NURBS algorithm incorporated with two useful properties, sum up to one and dynamic denominator. This novel algorithm provides less order and fewer division operations than the traditional algorithm reported in the literature. Based on this algorithm, a unified architecture for the computation of various types of B-Spline curves and surfaces is presented. The resultant c

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Book chapters on the topic "Open Uniform B-Spline Curve"

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Hu, Liangchen, Huahao Shou, and Shiaofen Fang. "Progressive Iterative Approximation of SOR for Non-uniform Cubic B-spline Curve and Surface Interpolation." In Simulation Tools and Techniques. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72792-5_29.

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Conference papers on the topic "Open Uniform B-Spline Curve"

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Xumin, Liu, and Xu Weixiang. "Uniform B-Spline Curve and Surface with Shape Parameters." In 2008 International Conference on Computer Science and Software Engineering. IEEE, 2008. http://dx.doi.org/10.1109/csse.2008.354.

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Chu, Chih-Hsing, and Jang-Ting Chen. "Geometric Design of Uniform Developable B-Spline Surfaces." In ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/detc2004-57257.

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This paper studies geometric design of uniform developable B-spline surfaces from two boundary curves. The developability constraints are geometrically derived from the de Boor algorithm and expressed as a set of equations that must be fulfilled by the B-spline control points. These equations help characterize the number of degrees of freedom (DOF’s) for the surface design. For a cubic B-spline surface with a first boundary curve freely chosen, five more DOF’s are available for a second boundary curve when both curves contain four control points. There remain (7-2m) DOF’s for a cubic surface c

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Madadnia, Jafar. "Design of a Mobile Probe to Predict Convection Heat Transfer on Building Integrated Photovoltaic (BIPV) at University of Technology Sydney (UTS)." In ASME 2015 9th International Conference on Energy Sustainability collocated with the ASME 2015 Power Conference, the ASME 2015 13th International Conference on Fuel Cell Science, Engineering and Technology, and the ASME 2015 Nuclear Forum. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/es2015-49764.

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In the absence of a simple technique to predict convection heat transfer on building integrated photovoltaic (BIPV) surfaces, a mobile probe with two thermocouples was designed. Thermal boundary layers on vertical flat surfaces of a photovoltaic (PV) and a metallic plate were traversed. The plate consisted of twelve heaters where heat flux and surface temperature were controlled and measured. Uniform heat flux condition was developed on the heaters to closely simulate non-uniform temperature distribution on vertical PV modules. The two thermocouples on the probe measured local air temperature

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Kumar, Ashok V., and Ravi K. Burla. "Finite Element Analysis Using Uniform B-Spline Basis." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-49696.

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Implicit boundary finite element method uses structured grids for analysis instead of a conforming finite element mesh. The geometry of the structure is represented independently using curve / surface equations. These equations are used to apply boundary conditions even though there may not be nodes available on the boundary. In this paper, this method is applied for analysis using uniform B-spline basis defined over structured grids. Solutions can be constructed that are C1 or C2 continuous throughout the analysis domain using B-spline basis functions. Therefore, the computed stress and strai

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Liu, Xumin, Yong Guan, Weixiang Xu, and Yuanyuan Shang. "The Effect of Shape Parameters on Hyperbolic Polynomial Uniform B-Spline Curve Model." In 2009 International Conference on Information Engineering and Computer Science. IEEE, 2009. http://dx.doi.org/10.1109/iciecs.2009.5363538.

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Shuxun, Wang, Ye Zhenglin, and Chen Zuoping. "Design of three-order cubic non-uniform B-spline curve with multi-parameters." In 2010 2nd International Conference on Signal Processing Systems (ICSPS). IEEE, 2010. http://dx.doi.org/10.1109/icsps.2010.5555550.

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Jin, Zi-min, Yu-xiu Yan, Jue-min Mu, and Li-fang Liao. "Fitting the Sectional Curve for 3D Human Body Based on Non-uniform B-spline." In 2010 Third International Conference on Information and Computing Science (ICIC). IEEE, 2010. http://dx.doi.org/10.1109/icic.2010.145.

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Jianbao, Li, Zhang Tie, Sun Baojing, and Tong Xin. "Application of non-uniform B-spline curve fitting based on genetic algorithm in high meteorological detection." In 2011 23rd Chinese Control and Decision Conference (CCDC). IEEE, 2011. http://dx.doi.org/10.1109/ccdc.2011.5968546.

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Ma, Xiaohu, Xiaoli Wang, and Shihua Yong. "Automatic Outline Generation of Jiaguwen Based on Curve Fitting of Uniform B-Spline with Shape Parameter." In 2009 First International Conference on Information Science and Engineering. IEEE, 2009. http://dx.doi.org/10.1109/icise.2009.355.

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Malhotra, Alok, James H. Oliver, and Weizhen Tu. "Synthesis of Spatially and Intrinsically Constrained Curves Using Simulated Annealing." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0080.

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Abstract A general technique is presented for automatic generation of B-spline curves in a spatially constrained environment, subject to specified intrinsic shape properties. Spatial constraints are characterized by a distance metric relating points on the curve to polyhedral models of obstacles which the curve should avoid. The shape of the curve is governed by constraints based on intrinsic curve properties such as parametric variation and curvature. To simultaneously address the independent goals of global obstacle avoidance and local control of intrinsic shape properties, curve synthesis i

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