Extremal Interpolation of Convex Scattered Data in $$\mathbb {R}^3$$ R 3 Using Tensor Product Bézier Surfaces

Large-Scale Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-319-26520-9_49 ◽

2015 ◽

pp. 435-442

Author(s):

Krassimira Vlachkova

Keyword(s):

Tensor Product ◽

Scattered Data ◽

Bézier Surfaces ◽

Bezier Surfaces

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Extremal Scattered Data Interpolation in $$\mathbb {R}^3$$ Using Triangular Bézier Surfaces

Numerical Methods and Applications - Lecture Notes in Computer Science ◽

10.1007/978-3-319-15585-2_34 ◽

2015 ◽

pp. 304-311

Author(s):

Krassimira Vlachkova

Keyword(s):

Scattered Data ◽

Data Interpolation ◽

Scattered Data Interpolation ◽

Bézier Surfaces ◽

Bezier Surfaces

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The degree reduction of tensor product rational Bézier surfaces

2008 9th International Conference on Computer-Aided Industrial Design and Conceptual Design ◽

10.1109/caidcd.2008.4730655 ◽

2008 ◽

Cited By ~ 1

Author(s):

Mao Shi ◽

Zhenglin Ye ◽

Baosheng Kang

Keyword(s):

Tensor Product ◽

Degree Reduction ◽

Bézier Surfaces ◽

Bezier Surfaces

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Approximating tensor product Bézier surfaces with tangent plane continuity

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.03.007 ◽

2009 ◽

Vol 231 (1) ◽

pp. 412-422 ◽

Cited By ~ 3

Author(s):

Lizheng Lu

Keyword(s):

Tensor Product ◽

Tangent Plane ◽

Bézier Surfaces ◽

Bezier Surfaces

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Point and tangent computation of tensor product rational Bézier surfaces

Computer Aided Geometric Design ◽

10.1016/0167-8396(94)00029-r ◽

1995 ◽

Vol 12 (1) ◽

pp. 103-106 ◽

Cited By ~ 10

Author(s):

Thomas W. Sederberg

Keyword(s):

Tensor Product ◽

Bézier Surfaces ◽

Bezier Surfaces

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Continuity conditions for tensor product Q-Bézier surfaces of degree ($$m,\, n$$m,n)

Computational and Applied Mathematics ◽

10.1007/s40314-017-0568-0 ◽

2018 ◽

Vol 37 (4) ◽

pp. 4237-4258 ◽

Cited By ~ 4

Author(s):

Gang Hu ◽

Cuicui Bo ◽

Xinqiang Qin

Keyword(s):

Tensor Product ◽

Bézier Surfaces ◽

Bezier Surfaces

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A multipoint tool positioning method for five-axis machining in the region of two intersecting tensor product Bézier surfaces

International Journal of Machine Tools and Manufacture ◽

10.1016/j.ijmachtools.2019.04.007 ◽

2019 ◽

Vol 142 ◽

pp. 42-53 ◽

Cited By ~ 2

Author(s):

Sandeep Kumar Sharma ◽

Ravinder Kumar Duvedi ◽

Sanjeev Bedi ◽

Stephen Mann

Keyword(s):

Tensor Product ◽

Tool Positioning ◽

Bézier Surfaces ◽

Positioning Method ◽

Bezier Surfaces ◽

Five Axis

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Certain Algorithms for Modeling Uncertain Data Using Fuzzy Tensor Product Bézier Surfaces

Mathematics ◽

10.3390/math6030042 ◽

2018 ◽

Vol 6 (3) ◽

pp. 42 ◽

Cited By ~ 1

Author(s):

◽

Keyword(s):

Tensor Product ◽

Uncertain Data ◽

Bézier Surfaces ◽

Bezier Surfaces

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On the convergence of approximating tensor-product rational Bézier surfaces using tensor-product Bézier surfaces

Journal of Approximation Theory ◽

10.1016/j.jat.2014.03.010 ◽

2014 ◽

Vol 182 ◽

pp. 68-82

Author(s):

Huixia Xu ◽

Renfang Wang ◽

Zhenyu Shu ◽

Aimin Xu

Keyword(s):

Tensor Product ◽

Bézier Surfaces ◽

Bezier Surfaces

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Multi-degree reduction of tensor product Bézier surfaces with general boundary constraints

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.11.011 ◽

2011 ◽

Vol 217 (9) ◽

pp. 4596-4611 ◽

Cited By ~ 8

Author(s):

Stanisław Lewanowicz ◽

Paweł Woźny

Keyword(s):

Tensor Product ◽

General Boundary ◽

Degree Reduction ◽

Boundary Constraints ◽

Bézier Surfaces ◽

Bezier Surfaces

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Tensor product Bézier surfaces on triangle Bézier surfaces

Computer Aided Geometric Design ◽

10.1016/s0167-8396(02)00145-0 ◽

2002 ◽

Vol 19 (8) ◽

pp. 625-643 ◽

Cited By ~ 6

Author(s):

Dieter Lasser

Keyword(s):

Tensor Product ◽

Bézier Surfaces ◽

Bezier Surfaces

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