This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
R.H. Cushman and L. Bates, (1997), Global Aspects of Classical Integrable Systems, Birkhäuser Verlag, Basel. 10.1007/978-3-0348-8891-2CushmanR.H.BatesL.1997Global Aspects of Classical Integrable Systems10.1007/978-3-0348-8891-2Open DOISearch in Google Scholar
J.M. Carnicer, M. García-Esnaola and J.M. Peña, (1994), Monotonicity Preserving Representations, in: Curves and Surfaces in Geometric Design (P. J. Laurent, A. Le Méhauté, and L. L. Schumaker, eds.), 83-90.CarnicerJ.M.García-EsnaolaM.PeñaJ.M.1994Monotonicity Preserving RepresentationsLaurentP. J.Le MéhautéA.SchumakerL. L.8390Search in Google Scholar
J.M. Carnicer, M. García-Esnaola and J.M. Peña, (1996), Generalized convexity preserving transformations, Computer Aided Geometric Design 13, No 2, 179-197. 10.1016/0167-8396(95)00021-6CarnicerJ.M.García-EsnaolaM.PeñaJ.M.1996Generalized convexity preserving transformations13217919710.1016/0167-8396(95)00021-6Open DOISearch in Google Scholar
J.M. Carnicer, M. García-Esnaola and J.M. Peña, (1996), Convexity of rational curves and total positivity, Journal of Computational and Applied Mathematics 71, No 2, 365-382. 10.1016/0377-0427(95)00240-5CarnicerJ.M.García-EsnaolaM.PeñaJ.M.1996Convexity of rational curves and total positivity71236538210.1016/0377-0427(95)00240-5Open DOISearch in Google Scholar
J. Delgado and J.M. Peña, (2005), On efficient algorithms for the evaluation of rational tensor product surfaces, in: Mathematical methods for curves and surfaces: Tromso 2004, Modern Methods in Mathematics, Nashboro Press, Brentwood, TN, 115-124.DelgadoJ.PeñaJ.M.2005On efficient algorithms for the evaluation of rational tensor product surfacesNashboro PressBrentwood, TN115-124Search in Google Scholar
J. Delgado and J.M. Peña, (2007), Are rational Bézier surfaces monotonicity preserving?, Computer Aided Geometric Design 24, No 5, 303-306. 10.1016/j.cagd.2007.03.006DelgadoJ.PeñaJ.M.2007Are rational Bézier surfaces monotonicity preserving?24530330610.1016/j.cagd.2007.03.006Open DOISearch in Google Scholar
J. Delgado and J.M. Peña, (2013), Accurate computations with collocation matrices of rational bases, Applied Mathematics and Computation 219, No 9, 4354-4364. 10.1016/j.amc.2012.10.019DelgadoJ.PeñaJ.M.2013Accurate computations with collocation matrices of rational bases21994354436410.1016/j.amc.2012.10.019Open DOISearch in Google Scholar
J. Delgado and J.M. Peña, (2013), On the evaluation of rational triangular Bézier surfaces and the optimal stability of the basis, Advances in Computational Mathematics 38, No 4, 701-721. 10.1007/s10444-011-9256-6DelgadoJ.PeñaJ.M.2013On the evaluation of rational triangular Bézier surfaces and the optimal stability of the basis38470172110.1007/s10444-011-9256-6Open DOISearch in Google Scholar
J. Delgado and J.M. Peña, (2015), Axially Monotonicity Preserving Curves and Surfaces, in: Proceedings of the 3rd International Conference on Mathematical, Computational and Statistical Sciences (MCSS’15), Mathematics and Computers in Science and Engineering Series 40 (N. E. Mastorakis, A. Ding, M. V. Shitikova, Eds.), 28-32.DelgadoJ.PeñaJ.M.2015Axially Monotonicity Preserving Curves and Surfacesin: Proceedings of theMastorakisN. E.DingA.ShitikovaM. V.2832Search in Google Scholar
J. Delgado and J.M. Peña, (2015), Accurate computations with collocation matrices of q−Bernstein polynomials, SIAM Journal on Matrix Analysis and its Applications 36, No 2, 880-893. 10.1137/140993211DelgadoJ.PeñaJ.M.2015Accurate computations with collocation matrices of q−Bernstein polynomials36288089310.1137/140993211Open DOISearch in Google Scholar
J. Delgado and J.M. Peña, (2015), Accurate evaluation of Bézier curves and surfaces and the Bernstein-Fourier algorithm, Applied Mathematics and Computation 271, 113-122. 10.1016/j.amc.2015.08.086DelgadoJ.PeñaJ.M.2015Accurate evaluation of Bézier curves and surfaces and the Bernstein-Fourier algorithm27111312210.1016/j.amc.2015.08.086Open DOISearch in Google Scholar
J. Delgado and J.M. Peña, (2016), Algorithm 960: POLYNOMIAL: An Object-Oriented Matlab Library of Fast and Efficient Algorithms for Polynomials, ACM Transactions on Mathematical Software 42, No 3, 23:1-23:19. 10.1145/2814567DelgadoJ.PeñaJ.M.2016Algorithm 960: POLYNOMIAL: An Object-Oriented Matlab Library of Fast and Efficient Algorithms for Polynomials42323:123:1910.1145/2814567Open DOISearch in Google Scholar
G. Farin, (2002), Curves and Surfaces for CAGD: A Practical Guide, Morgan-Kaufmann Publishers, San Francisco, CA.FarinG.2002Morgan-Kaufmann PublishersSan Francisco, CASearch in Google Scholar
R. T. Farouki, (2012), The Bernstein polynomial basis: A centennial retrospective, Computer Aided Geometric Design 29, No 6, 379-419. 10.1016/j.cagd.2012.03.001FaroukiR. T.2012The Bernstein polynomial basis: A centennial retrospective29637941910.1016/j.cagd.2012.03.001Open DOISearch in Google Scholar
M.S. Floater, (1992), Derivatives of rational Bézier curves, Computer Aided Geometric Design 9, No 3, 161-174. 10.1016/0167-8396(92)90014-GFloaterM.S.1992Derivatives of rational Bézier curves9316117410.1016/0167-8396(92)90014-GOpen DOISearch in Google Scholar
M.S. Floater and J.M. Peña, (1998), Tensor-product monotonicity preservation, Advances in Computational Mathematics 9, No 3, 353-362. 10.1023/A:1018906027191FloaterM.S.PeñaJ.M.1998Tensor-product monotonicity preservation9335336210.1023/A:1018906027191Open DOISearch in Google Scholar
M.S. Floater and J.M. Peña, (2000), Monotonicity preservation on triangles, Mathematics of Computation 69, No 232, 1505-1519. 10.1090/S0025-5718-99-01176-XFloaterM.S.PeñaJ.M.2000Monotonicity preservation on triangles692321505-151910.1090/S0025-5718-99-01176-XOpen DOISearch in Google Scholar
Y. Huang and H. Su, (2006), The bound on derivatives of rational Bézier curves, Computer Aided Geometric Design 23, No 9, 698-702. 10.1016/j.cagd.2006.08.001HuangY.SuH.2006The bound on derivatives of rational Bézier curves23969870210.1016/j.cagd.2006.08.001Open DOISearch in Google Scholar
F. Käferböck and H. Pottmann, (2013), Smooth surfaces from bilinear patches: Discrete affine minimal surfaces, Computer Aided Geometric Design 30, No 5, 476-489. 10.1016/j.cagd.2013.02.00823805016KäferböckF.PottmannH.2013Smooth surfaces from bilinear patches: Discrete affine minimal surfaces30547648910.1016/j.cagd.2013.02.008Open DOISearch in Google Scholar
L. Piegl and W. Tiller, (1997), The NURBS Book, Springer-Verlag, Berlin-Heidelberg. 10.1007/978-3-642-59223-2PieglL.TillerW.1997Springer-VerlagBerlin-Heidelberg10.1007/978-3-642-59223-2Open DOISearch in Google Scholar
H. Prautzsch and T. Gallagher, (1992) Is there a geometric variation diminishing property for B−spline or Bézier surfaces?, Computer Aided Geometric Design 9, No 2, 119-124. 10.1016/0167-8396(92)90011-DPrautzschH.GallagherT.1992Is there a geometric variation diminishing property for B−spline or Bézier surfaces?9211912410.1016/0167-8396(92)90011-DOpen DOISearch in Google Scholar
I. Selimovic, (2005), New bounds on the magnitude of the derivative of rational Bézier curves and surfaces, Computer Aided Geometric Design 22, No 4, 321-326. 10.1016/j.cagd.2005.01.003SelimovicI.2005New bounds on the magnitude of the derivative of rational Bézier curves and surfaces22432132610.1016/j.cagd.2005.01.003Open DOISearch in Google Scholar
L. Shi, J. Wang and H. Pottmann, (2014), Smooth surfaces from rational bilinear patches, Computer Aided Geometric Design 31, No 1, 1-12. 10.1016/j.cagd.2013.11.001ShiL.WangJ.PottmannH.2014Smooth surfaces from rational bilinear patches31111210.1016/j.cagd.2013.11.001Open DOISearch in Google Scholar
R.-J. Zhang and W. Ma, (2006), Some improvements on the derivative bounds of rational Bézier curves and surfaces, Computer Aided Geometric Design 23, No 7, 563-572. 10.1016/j.cagd.2006.01.006ZhangR.J.MaW.2006Some improvements on the derivative bounds of rational Bézier curves and surfaces23756357210.1016/j.cagd.2006.01.006Open DOISearch in Google Scholar