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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 specification (STL) with CAD and rapid prototyping manufacturing (RPM) system are discussed. The system is developed based on an open graphics library (OPEN GL) software environment. A practical case is presented to illustrate the effectiveness of the approach.

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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. Reconstructionof spiral bevel gears in using NURBS is achieved and the tooth surface reconstruction is drawn out in Open GL in VC environment. And then reconstruction error on the tooth surface is analyzed. It proves that using the method of NURBS to reconstruct spiral bevel gear tooth surface is correct and feasible.

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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 shared knots are given by the first derivatives of a biquartic polynomial, the optimality of such approximation remained an open question.The goal of this paper is to resolve this problem. Unlike the spline curves, in the case of spline surfaces it is insufficient to suppose that the grid should be uniform and the spline derivatives computed from a biquartic polynomial. We show that the biquartic polynomial coefficients have to satisfy some additional constraints to achieve optimal approximation by bicubic splines.

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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-ice models. Two particular isotropic realizations of this model relevant to climate studies are examined: (a) an isotropic composite with oriented leads in all directions imbedded in thick ice, and (b) a simple "strain hardening" isotropic model where only oriented leads having the potential to open rapidly are allowed. Under applied stress both models yield preferential deformation along a symmetric pair of intersecting leads or ridges with the intersection angles dependent on the confinement stress. The "uniform-orientation" model results in a yield curve that approximates a sine lens, while the "strain hardening" model has a teardrop-like yield curve. How the resulting fracture-based yield curves and non-normal flow rules may be cast in a form usable in numerical investigations of climate is discussed.

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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 example is given to show the effectiveness of this multiresolution fairing method.

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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. Furthermore, its applications in curve design is discussed and an extend application on surface design is also presented. Modeling examples show that the new curve is very valuable for the design of curves and surfaces.

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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 have C0, G3; C1, G3; C1, G7; and C3 continuity for different choice of shape parameters. A quartic trigonometric Bézier curves are also introduced as a special case of the given trigonometric spline curves. A comparison of quartic trigonometric polynomial curve is made with different other curves. In the last, quartic trigonometric spline surfaces with two shape parameters are constructed. They have most properties of the corresponding 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-point interpolatory scheme is generalized to surfaces and the 10-point interpolatory subdivision scheme for surfaces is formulated. The so-called Butterfly Scheme, which was firstly introduced by Dyn, Gregory Levin in 1988, is just a special case of the scheme. By studying the Cross-Differences of Directional Divided Differences, a matrix approach for analysing uniform subdivision algorithms for surfaces is established and the convergence of the 10-point scheme over both uniform and non-uniform triangular networks is studied. Another algorithm, the subdivision algorithm for uniform bi-quartic B-spline surfaces over arbitrary topology is introduced and investigated. This algorithm is a generalization of Doo-Sabin's and Catmull-Clark's algorithms. It produces uniform Bi-quartic B-spline patches over uniform data. By studying the local subdivision matrix, which is a circulant, the tangent plane and curvature properties of the limit surfaces at the so-called Extraordinary Points are studied in detail.

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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 horn is higher than that of the traditional catenoidal and Bézier horn with the same length and end surface diameters.

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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 result is used in the following experiment. In order to show if NURBS interpolator can effectively improve the continuity of laser scanning speed, by using a butterfly-shaped of NURBS curve as example to analyze the path of the motion stage. After sintering, traditional method (G01) with purposed method (G06) for the change rate of linewidth in the corner of the path are compared. At last, a planar spiral inductance for application is demonstrated.

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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 chip, consisting of approximately 752 K transistors, occupies 3.1 mm by 3.1 mm area in the 0.35-μm SPQM CMOS technology. It operates at 100 MHz with two 16-bit data outputs and consumes only 920mW at a supply voltage of 3.3V. The output data rate is two 16-bit words per cycle, which corresponds to a pair of the coordinate values of a point and its normal on a curve/surface.

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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 consisting of m consecutive patches with C2 continuity. The results are in accordance with previous findings for equivalent composite Be´zier surfaces. Test examples are illustrated to demonstrate design methods that fully utilize the DOF’s without leading to over-constrained systems in the solution process. Providing a foundation for systematic implementation of a CAGD system for developable B-spline surfaces, this work has substantial improvements over past studies.

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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 and contact temperature with the wall surface. Experimental results were presented in the forms of local Nusselt numbers versus Rayleigh numbers “Nu=a * (Ra)b”, and surface temperature versus dimensionless height [Ts -T∞= c*(z/h)d]. The constant values for “a”, “b”, “c” and “d” were determined from the best curve-fitting to the power-law relation. The convection heat transfer predictions from the empirical correlations were found to be in consistent with those predictions made by a number of correlations published in the open literature. A simple technique is then proposed to employ two experimental data from the probe to refine empirical correlations as the operational conditions change. A flexible technique to update correlations is of prime significance requirement in thermal design and operation of BIPV modules. The work is in progress to further extend the correlation to predict the combined radiation and convection on inclined PVs and channels.

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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 strain are continuous in the analysis domain thus eliminating the need for smoothing stress/strain results. Compared to conforming mesh, it is easier to generate structured grids that overlap the geometry and the elements in the grid are regular shaped and undistorted. Numerical examples are presented to demonstrate the performance of these B-spline elements. The results are compared with analytical solutions as well as traditional finite element solutions. Convergence studies for several examples show that B-spline elements provide accurate solutions with fewer elements and nodes as compared to traditional finite element method (FEM).

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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 is formulated as a combinatorial optimization problem and solved via simulated annealing. Several example applications are presented which demonstrate the robustness of the technique. The synthesis of both uniform and non-uniform B-spline curves is also demonstrated. An extension of the technique to general sculptured surface model synthesis is briefly described, and a preliminary example of simple surface synthesis presented.

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