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A direct method to solve optimal knots of B-spline curves: An application for non-uniform B-spline curves fitting. [PDF]
PLoS ONE, 2017 B-spline functions are widely used in many industrial applications such as computer graphic representations, computer aided design, computer aided manufacturing, computer numerical control, etc. Recently, there exist some demands, e.g.
Van Than Dung, Tegoeh Tjahjowidodo
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Approximating uniform rational B-spline curves by polynomial B-spline curves
Journal of Computational and Applied Mathematics, 2013 Approximation of rational B-spline curves by B-spline curves is an important issue in computer aided geometric design. This paper presents a method to approximate a uniform rational B-spline with B-spline curve sequence as follows. We first elevate the degree of the original rational B-spline curve and take the control points of the degree-elevated ...
Huixia Xu, Qianqian Hu
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Quadratic B-spline curve interpolation
Computers and Mathematics With Applications, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fuhua Cheng, B A Barsky
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Planar Pythagorean-Hodograph B-Spline curves [PDF]
Computer Aided Geometric Design, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carolina Vittoria Beccari +2 more
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On Intersections of B-Spline Curves
MathematicsBézier and B-spline curves are foundational tools for curve representation in computer graphics and computer-aided geometric design, with their intersection computation presenting a fundamental challenge in geometric modeling.
Ying-Ying Yu, Xin Li, Ye Ji
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A Proposed Method for Detecting Fake Art by Using B-Spline Curves [PDF]
Engineering and Technology Journal, 2012 This paper presents proposed method for detecting fake art by using B-Spline curves. In this paper B-Spline curve is used with special technique helps to determine the difference between the excellent copy and the real McCoy image. In the proposed method
Abdul Monem S. Rahma +1 more
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Parameterization Method on B‐Spline Curve [PDF]
Mathematical Problems in Engineering, 2012 The use of computer graphics in many areas allows a real object to be transformed into a three‐dimensional computer model (3D) by developing tools to improve the visualization of two‐dimensional (2D) and 3D data from series of data point. The tools involved the representation of 2D and 3D primitive entities and parameterization method using B‐spline ...
Habibollah Haron +4 more
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Parametric Curve Comparison for Modeling Floating Offshore Wind Turbine Substructures
Energies, 2023 The drive for the cost reduction of floating offshore wind turbine (FOWT) systems to the levels of fixed bottom foundation turbine systems can be achieved with creative design and analysis techniques of the platform with free-form curves to save ...
Adebayo Ojo +2 more
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Stretch-Energy-Minimizing B-Spline Interpolation Curves and Their Applications
Mathematics, 2023 In this paper, we propose a new method to construct energy-minimizing cubic B-spline interpolation curves by minimizing the approximated stretch energy. The construction of a B-spline interpolation curve with a minimal approximated stretch energy can be ...
Qian Ni, Chen Xie
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Five-Axis Tool Path Smoothing based on Cubic B-Spline Curves [PDF]
한국정밀공학회지, 2020 In CNC machining, NC data created by CAM software is usually linearly interpolated. This linearly interpolated tool path, however, may degrade the dynamic motion performance of the machine tool and the geometric accuracy in comparison with the reference ...
Keewoong Ahn, Sungchul Jee
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