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| A. Abbas, Hongwei Lin, A. Nasri, S. Okaniwa, Y. Kineri, T. Maekawa, "Uniform B-Spline Curve Interpolation with Prescribed Tangent and Curvature Vectors," IEEE Transactions on Visualization and Computer Graphics, vol. 18, no. 9, pp. 1474-1487, Sept., 2012. | |||
| BibTex | x | ||
| @article{ 10.1109/TVCG.2011.262, author = {A. Abbas and Hongwei Lin and A. Nasri and S. Okaniwa and Y. Kineri and T. Maekawa}, title = {Uniform B-Spline Curve Interpolation with Prescribed Tangent and Curvature Vectors}, journal ={IEEE Transactions on Visualization and Computer Graphics}, volume = {18}, number = {9}, issn = {1077-2626}, year = {2012}, pages = {1474-1487}, doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2011.262}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Visualization and Computer Graphics TI - Uniform B-Spline Curve Interpolation with Prescribed Tangent and Curvature Vectors IS - 9 SN - 1077-2626 SP1474 EP1487 EPD - 1474-1487 A1 - A. Abbas, A1 - Hongwei Lin, A1 - A. Nasri, A1 - S. Okaniwa, A1 - Y. Kineri, A1 - T. Maekawa, PY - 2012 KW - splines (mathematics) KW - computational geometry KW - interpolation KW - shape design KW - uniform B-spline curve interpolation KW - prescribed tangent KW - curvature vectors KW - geometric algorithm KW - data point sequence KW - curvature vectors constraints KW - knot insertion KW - handling plane KW - space curves KW - linear system KW - NC machining KW - Spline KW - Interpolation KW - Equations KW - Aerospace electronics KW - Vectors KW - Educational institutions KW - Electronic mail KW - parametric curve. KW - B-spline curve KW - interpolation KW - tangent KW - curvature vector VL - 18 JA - IEEE Transactions on Visualization and Computer Graphics ER - | |||
[1] A. Abbas, A. Nasri, and T. Maekawa, "Generating B-Spline Curves with Points, Normals and Curvature: A Constructive Approach," The Visual Computer, vol. 26, pp. 823-829, 2010.
[2] F. Yamaguchi, "A Method of Designing Free form Surfaces by Computer Display (1st Report) (in Japanese)," Precision Machinery, vol. 43, no. 2, pp. 168-173, 1977.
[3] F. Yamaguchi, Curves and Surfaces in Computer Aided Geometric Design. Springer-Verlag, 1988.
[4] H. Lin, G. Wang, and C. Dong, "Constructing Iterative Non-Uniform B-Spline Curve and Surface to Fit Data Points," Science in China, vol. 47, no. 3, pp. 315-331, 2004.
[5] T. Maekawa, Y. Matsumoto, and K. Namiki, "Interpolation by Geometric Algorithm," Computer-Aided Design, vol. 39, no. 4, pp. 313-323, 2007.
[6] F. Fan, F. Cheng, and S. Lai, "Subdivision Based Interpolation with Shape Control," Computer Aided Design and Application, vol. 5, nos. 1-4, pp. 539-547, 2008.
[7] S. Gofuku, S. Tamura, and T. Maekawa, "Point-Tangent/Point-Normal B-Spline Curve Interpolation by Geometric Algorithms," Computer-Aided Design, vol. 41, no. 6, pp. 412-422, 2009.
[8] H. Lin, "The Convergence of the Geometric Interpolation Algorithm," Computer-Aided Design, vol. 42, no. 6, pp. 505-508, 2010.
[9] Y. Bazilevs, T.J.R. Hughes, and J.A. Cottrell, "Isogeometric Analysis: CAD, Finite Elements, NURBS, Exact Geometry and Mesh Refinement," Computer Methods in Applied Mechanics and Eng., vol. 194, nos. 39-41, pp. 4135-4195, 2005.
[10] N.M. Patrikalakis and T. Maekawa, Shape Interrogation for Computer Aided Design and Manufacturing. Springer-Verlag, 2002.
[11] L. Piegl and W. Tiller, The NURBS Book, second ed. Springer-Verlag, 1997.
[12] H. Prautzsch, W. Boehm, and M. Paluszny, Bézier and B-Spline Techniques. Springer, 2002.
[13] X. Ye, T.R. Jackson, and N.M. Patrikalakis, "Geometric Design of Functional Surfaces," Computer-Aided Design, vol. 28, no. 9, pp. 741-752, 1996.
[14] C. deBoor, K. Höllig, and M. Sabin, "High Accuracy Geometric Hermite Interpolation," Computer Aided Geometric Design, vol. 4, no. 4, pp. 269-278, 1987.
[15] L. Xu and J. Shi, "Geometric Hermite Interpolation for Space Curves," Computer-Aided Geometric Design, vol. 18, no. 9, pp. 817-829, 2001.
[16] G. Farin, Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide, fifth ed. Morgan Kaufmann, 2002.
[17] K. Höllig and J. Koch, "Geometric Hermite Interpolation," Computer Aided Geometric Design, vol. 12, no. 6, pp. 567-580, 1995.
[18] K. Höllig and J. Koch, "Geometric Hermite Interpolation with Maximal Order and Smoothness," Computer Aided Geometric Design, vol. 13, no. 8, pp. 681-695, 1996.
[19] A. Nasri and A. Abbas, "Designing Catmull-Clark Subdivision Surfaces with Curve Interpolation Constraints," Computer and Graphics, vol. 26, no. 3, pp. 393-400, 2002.
[20] A. Nasri and M. Sabin, "Taxonomy of Interpolation Constraints on Recursive Subdivision Curves," The Visual Computer, vol. 18, nos. 5/6, pp. 382-403, 2002.
[21] A. Gray, Modern Differential Geometry of Curves and Surfaces with Mathematica, second ed. CRC Press, 1997.

