Log in

Relevant bibliographies by topics / Extended cubic uniform B-spline

Contents

Journal articles
Book chapters
Conference papers

Academic literature on the topic 'Extended cubic uniform B-spline'

Author: Grafiati

Published: 3 June 2025

Last updated: 7 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Extended cubic uniform B-spline.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Extended cubic uniform B-spline"

1

XU, Gang. "Extended Cubic Uniform B-spline and α-B-spline". Acta Automatica Sinica 34, № 8 (2009): 980–83. http://dx.doi.org/10.3724/sp.j.1004.2008.00980.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

XU, Gang, та Guo-Zhao WANG. "Extended Cubic Uniform B-spline and α-B-spline". Acta Automatica Sinica 34, № 8 (2008): 980–84. http://dx.doi.org/10.1016/s1874-1029(08)60047-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Mohamad Sukri, Nursyazni, Noor Khairiah Razali, Siti Musliha Nor-Al-Din, Muhammad Afzanurfahmi Che Adnan, Normi Abdul Hadi, and . "Shape Parameter of Extended Uniform Cubic B-Spline in Designing Three Dimensional Objects." International Journal of Engineering & Technology 7, no. 4.42 (2018): 130–33. http://dx.doi.org/10.14419/ijet.v7i4.42.25695.

Full text

Abstract:

In Computer Aided Geometric Design (CAGD), B-spline curves are piecewise polynomial parametric curves that play an important role. CAGD which has been widely used, brings the good impact of computers to industries such as automobile. To meet engineering requirements, Extended Cubic Uniform B-Spline is proposed to be applied in creating new objects. Furthermore, three dimensional objects such as rod, bottle and others can be generated from Extended Cubic Uniform B-Spline curves by using translation technique of sweep surface method. In this research, the three-dimensional objects are formed by transforming Extended Cubic Uniform B-Spline with degree 4 by using translation technique. The advantage of using Extended Cubic Uniform B-Spline is the curve can be modified by changing the value of shape parameter. Various shapes of three dimensional objects can be formed by using different shape parameters. The smoothness of three dimensional objects is analyzed by shape parameter value from Â to . The result shows object with and Â are smooth.Â Â

APA, Harvard, Vancouver, ISO, and other styles

4

Sukri, N. M., S. M. Nor-Al-Din, N. K. Razali, and M. A. A. Mazwin. "Designing Roller Coaster Loop’s By Using Extended Uniform Cubic B-Spline." IOP Conference Series: Materials Science and Engineering 1176, no. 1 (2021): 012039. http://dx.doi.org/10.1088/1757-899x/1176/1/012039.

Full text

Abstract:

Abstract Roller coaster is one of the attractions to the public. The design of roller coaster plays an important role for the smoothness and safety of each roller coaster rail. This research is about designing a smooth roller coaster rail loop using extended cubic uniform B-spline method as one of the alternative in designing a smooth roller coaster rail. Two-dimensional design of roller coaster rail loop is form by using extended cubic uniform B-spline with degree 3, 4 and 5 and shape parameter, λ= 0.5, and 1. Then, three-dimensional cubic B-spline is formed by using sweep surface which is translation method. The loop is analysed by the distance between curve and control polygon. Moreover, the G-felt with the different radius of the loop has been calculated. The value of G-felt for each method used will be compared to the G-felt value of the original roller coaster. The result from this research showed that by using extended cubic B-spline method degree 4, λ = 0.5 is the best way to design roller coaster rail because it has the best G-force value compared to others designs.

APA, Harvard, Vancouver, ISO, and other styles

5

Sukri, N. M., S. M. Nor-Al-Din, N. K. Razali, and M. A. A. Mazwin. "Designing Roller Coaster Loop’s By Using Extended Uniform Cubic B-Spline." IOP Conference Series: Materials Science and Engineering 1176, no. 1 (2021): 012039. http://dx.doi.org/10.1088/1757-899x/1176/1/012039.

Full text

Abstract:

Abstract Roller coaster is one of the attractions to the public. The design of roller coaster plays an important role for the smoothness and safety of each roller coaster rail. This research is about designing a smooth roller coaster rail loop using extended cubic uniform B-spline method as one of the alternative in designing a smooth roller coaster rail. Two-dimensional design of roller coaster rail loop is form by using extended cubic uniform B-spline with degree 3, 4 and 5 and shape parameter, λ= 0.5, and 1. Then, three-dimensional cubic B-spline is formed by using sweep surface which is translation method. The loop is analysed by the distance between curve and control polygon. Moreover, the G-felt with the different radius of the loop has been calculated. The value of G-felt for each method used will be compared to the G-felt value of the original roller coaster. The result from this research showed that by using extended cubic B-spline method degree 4, λ = 0.5 is the best way to design roller coaster rail because it has the best G-force value compared to others designs.

APA, Harvard, Vancouver, ISO, and other styles

6

Mohamad Sukri, Nursyazni Binti. "Comparison of Cubic Trigonometric Polynomial B-Spline and Extended Uniform Cubic B-Spline in Designing Three-Dimensional Bottle." International Journal of Advanced Trends in Computer Science and Engineering 8, no. 1.5 (2019): 117–21. http://dx.doi.org/10.30534/ijatcse/2019/2381.52019.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Tuo, Ming-Xiu, Gui-Cang Zhang, and Kai Wang. "A New Quasi Cubic Rational System with Two Parameters." Symmetry 12, no. 7 (2020): 1070. http://dx.doi.org/10.3390/sym12071070.

Full text

Abstract:

The purpose of this article is to develop a new system for the construction of curves and surfaces. Making the new system not only has excellent properties of the orthodox Bézier and the B-spline method but also has practical properties such as variation diminishing and local shape adjustability. First, a new set of the quasi-cubic rational (QCR) system with two parameters is given, which is verified on an optimal normalized totally positive system (B-system). The related QCR Bézier curve is defined, and the de Casteljau-type algorithm are given. Next, a group of non-uniform QCR B-spline system is shown based on the linear combination of the proposed QCR system, the relative properties of the B-spline system are analyzed. Then, the definition and properties of non-uniform QCR B-spline curves are discussed in detail. Finally, the proposed QCR system is extended to the triangular domain, which is called the quasi-cubic rational Bernstein-Bézier (QCR-BB) system, and its related definition and properties of patches are given at length. The experimental image obtained by using MATLAB shows that the newly constructed system has excellent properties such as symmetry, totally positive, and C 2 continuity, and its corresponding curve has the properties of local shape adjustability and C 2 continuity. These extended systems in the extended triangular domain have symmetry, linear independence, etc. Hence, the methods in this article are suitable for the modeling design of complex curves and surfaces.

APA, Harvard, Vancouver, ISO, and other styles

8

Yi, Yeqing, Zixuan Tang, and Chengzhi Liu. "Progressive Iterative Approximation for Extended B-Spline Interpolation Surfaces." Mathematical Problems in Engineering 2021 (April 26, 2021): 1–10. http://dx.doi.org/10.1155/2021/5556771.

Full text

Abstract:

In order to improve the computational efficiency of data interpolation, we study the progressive iterative approximation (PIA) for tensor product extended cubic uniform B-spline surfaces. By solving the optimal shape parameters, we can minimize the spectral radius of PIA’s iteration matrix, and hence the convergence rate of PIA is accelerated. Stated numerical examples show that the optimal shape parameters make the PIA have the fastest convergence rate.

APA, Harvard, Vancouver, ISO, and other styles

9

Khuri, Suheil A., and Ali M. Sayfy. "NUMERICAL SOLUTION OF A CLASS OF NONLINEAR SYSTEM OF SECOND-ORDER BOUNDARY-VALUE PROBLEMS: A FOURTH-ORDER CUBIC SPLINE APPROACH." Mathematical Modelling and Analysis 20, no. 5 (2015): 681–700. http://dx.doi.org/10.3846/13926292.2015.1091793.

Full text

Abstract:

A cubic B-spline collocation approach is described and presented for the numerical solution of an extended system of linear and nonlinear second-order boundary-value problems. The system, whether regular or singularly perturbed, is tackled using a spline collocation approach constructed over uniform or non-uniform meshes. The rate of convergence is discussed theoretically and verified numerically to be of fourth-order. The efficiency and applicability of the technique are demonstrated by applying the scheme to a number of linear and nonlinear examples. The numerical solutions are contrasted with both analytical and other existing numerical solutions that exist in the literature. The numerical results demonstrate that this method is superior as it yields more accurate solutions.

APA, Harvard, Vancouver, ISO, and other styles

10

Gelu, Fasika Wondimu, and Gemechis File Duressa. "A Uniformly Convergent Collocation Method for Singularly Perturbed Delay Parabolic Reaction-Diffusion Problem." Abstract and Applied Analysis 2021 (March 12, 2021): 1–11. http://dx.doi.org/10.1155/2021/8835595.

Full text

Abstract:

In this article, a numerical solution is proposed for singularly perturbed delay parabolic reaction-diffusion problem with mixed-type boundary conditions. The problem is discretized by the implicit Euler method on uniform mesh in time and extended cubic B-spline collocation method on a Shishkin mesh in space. The parameter-uniform convergence of the method is given, and it is shown to be ε -uniformly convergent of O Δ t + N − 2 ln 2 N , where Δ t and N denote the step size in time and number of mesh intervals in space, respectively. The proposed method gives accurate results by choosing suitable value of the free parameter λ . Some numerical results are carried out to support the theory.

APA, Harvard, Vancouver, ISO, and other styles

More sources

Book chapters on the topic "Extended cubic uniform B-spline"

1

Shackleford, James A., Qi Yang, Ana M. Lourenço, Nadya Shusharina, Nagarajan Kandasamy, and Gregory C. Sharp. "Analytic Regularization of Uniform Cubic B-spline Deformation Fields." In Medical Image Computing and Computer-Assisted Intervention – MICCAI 2012. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33418-4_16.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

He, Yali, Wang Zhao, Shujing Zhao, and Jincai Chang. "Smooth Connection of Cubic T-B Spline and Uniform Rational B Spline Curves in Industrial Design." In Lecture Notes in Electrical Engineering. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4856-2_100.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Shukla, J. P., B. K. Singh, C. Cattani, and M. Gupta. "Novel Cubic B-spline Based DQM for Studying Convection–Diffusion Type Equations in Extended Temporal Domains." In Advance Numerical Techniques to Solve Linear and Nonlinear Differential Equations. River Publishers, 2023. http://dx.doi.org/10.1201/9781032630298-2.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Xu, Xin, and Guiping Qian. "A Face Keypoint Detection Framework Based on the Hybrid Model of PFLD_GhostOne and B-Spline Curve." In Advances in Transdisciplinary Engineering. IOS Press, 2024. http://dx.doi.org/10.3233/atde240124.

Full text

Abstract:

This paper addresses the limitations of existing face keypoint detection algorithms when applied to cinematic and television contexts. In response to the challenges posed by occlusion and heavy makeup, which often lead to inaccurate face keypoint detection, we have developed a film and television face dataset comprising over 10,000 images. This paper introduces a hybrid model detection framework that combines PFLD_GhostOne and B-Spline curve for enhanced accuracy. In our methodology, we extract face contour coordinates from both the PFLD_GhostOne and dlib68-point face keypoint detection models, and establish a more precise skin contour by computing the distance between corresponding points via uniform cubic B-Spline curve interpolation fitting. Experimental results indicate that this approach provides robust detection accuracy for face keypoints in cinematic and television content, whilst maintaining efficient algorithmic speed.

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Extended cubic uniform B-spline"

1

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

2

Matiu-Iovan, Liliana, and Flaviu Mihai Frigura-Iliasa. "Algorithms of cubic B-spline interpolation extended for m>2." In 2012 8th International Symposium on Communication Systems, Networks & Digital Signal Processing (CSNDSP 2012). IEEE, 2012. http://dx.doi.org/10.1109/csndsp.2012.6292798.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Akram, Tayyaba, Muhammad Abbas, and Ahmad Izani Ismail. "Numerical solution of fractional cable equation via extended cubic B-spline." In THE 4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5121041.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Yang, Huixian, WenLong Yue, Yabin He, Huixian Huang, and Haixia Xia. "The Deduction of Coefficient Matrix for Cubic Non-Uniform B-Spline Curves." In 2009 First International Workshop on Education Technology and Computer Science. IEEE, 2009. http://dx.doi.org/10.1109/etcs.2009.396.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Akram, Tayyaba, Muhammad Abbas, and Ahmad Izani Ismail. "An extended cubic B-spline collocation scheme for time fractional sub-diffusion equation." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH2018): Innovative Technologies for Mathematics & Mathematics for Technological Innovation. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5136449.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Hepson, Ozlem Ersoy. "An extended cubic B–spline finite element method for solving generalized Burgers–Fisher equation." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5044170.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Burla, Ravi K., and Ashok V. Kumar. "T-Spline Based Local Refinement for Mesh Independent Analysis." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-34500.

Full text

Abstract:

Structured background mesh with regular shaped uniform elements is easy to generate automatically. Analysis using such a mesh is possible with an independent CAD model representing the geometry by using Implicit Boundary Method. This avoids mesh generation difficulties and enables new types of elements that use B-spline approximations instead of the traditional Lagrange interpolations. But the background mesh should ideally have higher resolution in areas where the solution has large gradients. In this paper, T-spline basis functions are used to locally refine a structured mesh. T-splines allow construction of elements with T-junctions maintaining the continuity of the field variable across element boundaries and hence ensure that compatibility conditions are satisfied. T-spline elements are constructed for linear and cubic basis. Essential boundary conditions are applied using implicit boundary method, which allows boundary conditions to be imposed even when there are no nodes on the boundary. T-spline elements are shown to represent constant and linear solution exactly. The mesh refinement technique is evaluated using two dimensional elasticity problem involving stress concentration.

APA, Harvard, Vancouver, ISO, and other styles

9

Turner, Cameron J., and Richard H. Crawford. "Modeling Design Spaces With Discontinuous Variables Using NURBs HyPerModels." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99643.

Full text

Abstract:

The vast majority of metamodeling demonstrations focuses on problems composed of continuous variables. However, important engineering design problems often include one or more discontinuous variables that require special attention. Previous work demonstrated the ability of Non-Uniform Rational B-spline HyPerModels to represent highly nonlinear functions composed of continuous variables. With minor modifications those capabilities can be extended to include functions defined by combinations of discontinuous input and output variables of different types, including discrete integer variables, feasibility variables and membership functions. Examples are used to demonstrate these modeling capabilities including applications developed from real engineering design problems such as the optimal positioning of a construction site crane and the optimal lay-up of a composite material I-beam.

APA, Harvard, Vancouver, ISO, and other styles

10

Li, Jun, Bin Li, Liming Song, and Zhenping Feng. "Multidisciplinary Optimization Design of Long Blade Turbine Stage Based on Parallel Self-Adaptive Multi-Objective Differential Evolution Algorithm." In ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/gt2016-56180.

Full text

Abstract:

An automated multidisciplinary optimization system for multi-objective design of the long blade turbine stage for steam turbines is developed in this paper. The Self-adaptive Multi-objective Differential Evolution (SMODE) algorithm, cubic non-uniform B-Spline curves based on surface modeling technology for three-dimensional turbine blade parameterization method, aerodynamic and mechanical performance of long blade turbine stage evaluation approach are coupled in the presented multidisciplinary optimization system. The aerodynamic performance of long blade turbine stage design candidates is evaluated using three-dimensional Reynolds-Averaged Navier-Stokes (RANS) solutions. The mechanical performance of the designed long rotor blade is analyzed using Finite Element Analysis (FEA) method based on the software ANSYS. Multi-objective design of long blade turbine stage is conducted using the developed multidisciplinary optimization methodology for the maximization of specific power and minimization of maximum Von Mises Stress with constraints on mass flow rate. The design variables are specified by the stator and rotor blade parameterization method. The Pareto solutions of the multidisciplinary optimization design for the long blade turbine stage are obtained. The aerodynamic and strength performance of obtained Pareto solutions improves obviously by comparison of the referenced design. The dynamic frequency with pre-stress of the referenced and optimized long rotor blade is also calculated in order to avoid resonance. The availability of the presented multidisciplinary optimization system for multi-objective design of long blade turbine stage for steam turbines is also demonstrated.

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!