Ai, Yihong; Qiu, Dong Regularization parameters choosing method based on L-curve and de Boor algorithm. (Chinese. English summary) Zbl 1413.65035 Nat. Sci. J. Xiangtan Univ. 40, No. 2, 85-88 (2018). MSC: 65D25 PDF BibTeX XML Cite \textit{Y. Ai} and \textit{D. Qiu}, Nat. Sci. J. Xiangtan Univ. 40, No. 2, 85--88 (2018; Zbl 1413.65035)
Goldman, Ron; Simeonov, Plamen Generalized quantum splines. (English) Zbl 1418.41007 Comput. Aided Geom. Des. 47, 29-54 (2016). MSC: 41A15 65D07 81P15 PDF BibTeX XML Cite \textit{R. Goldman} and \textit{P. Simeonov}, Comput. Aided Geom. Des. 47, 29--54 (2016; Zbl 1418.41007) Full Text: DOI
Hong, X.; Iplikci, S.; Chen, Sheng; Warwick, K. A model-based PID controller for Hammerstein systems using B-spline neural networks. (English) Zbl 1331.93042 Int. J. Adapt. Control Signal Process. 28, No. 3-5, 412-428 (2014). MSC: 93B30 93C40 93A13 92B20 PDF BibTeX XML Cite \textit{X. Hong} et al., Int. J. Adapt. Control Signal Process. 28, No. 3--5, 412--428 (2014; Zbl 1331.93042) Full Text: DOI
Zhou, Zhiqiang; Wu, Hongying Moving mesh finite element methods for fractional advection dispersion equation. (Chinese. English summary) Zbl 1313.65278 J. Numer. Methods Comput. Appl. 35, No. 1, 1-7 (2014). MSC: 65M60 65M50 65M20 35R11 35K55 PDF BibTeX XML Cite \textit{Z. Zhou} and \textit{H. Wu}, J. Numer. Methods Comput. Appl. 35, No. 1, 1--7 (2014; Zbl 1313.65278)
Simeonov, Plamen; Goldman, Ron Quantum B-splines. (English) Zbl 1275.65011 BIT 53, No. 1, 193-223 (2013). Reviewer: Haydar Akca (Abu Dhabi) MSC: 65D07 65D25 81P68 68Q12 PDF BibTeX XML Cite \textit{P. Simeonov} and \textit{R. Goldman}, BIT 53, No. 1, 193--223 (2013; Zbl 1275.65011) Full Text: DOI
Siddiqi, Shahid S.; Younis, Muhammad Construction of \(m\)-point binary approximating subdivision schemes. (English) Zbl 1259.65029 Appl. Math. Lett. 26, No. 3, 337-343 (2013). MSC: 65D17 PDF BibTeX XML Cite \textit{S. S. Siddiqi} and \textit{M. Younis}, Appl. Math. Lett. 26, No. 3, 337--343 (2013; Zbl 1259.65029) Full Text: DOI
Hong, X.; Mitchell, R. J.; Chen, S. Modelling and control of Hammerstein system using B-spline approximation and the inverse of de boor algorithm. (English) Zbl 1305.93083 Int. J. Syst. Sci. 43, No. 10, 1976-1984 (2012). MSC: 93B55 93B30 92B20 PDF BibTeX XML Cite \textit{X. Hong} et al., Int. J. Syst. Sci. 43, No. 10, 1976--1984 (2012; Zbl 1305.93083) Full Text: DOI
Xu, X.; Huang, W.; Russell, R. D.; Williams, J. F. Convergence of de Boor’s algorithm for the generation of equidistributing meshes. (English) Zbl 1228.65027 IMA J. Numer. Anal. 31, No. 2, 580-596 (2011). Reviewer: Juan Monterde (Burjasot) MSC: 65D18 65N50 PDF BibTeX XML Cite \textit{X. Xu} et al., IMA J. Numer. Anal. 31, No. 2, 580--596 (2011; Zbl 1228.65027) Full Text: DOI
Ding, Xiaoxing; Pan, Rijing A fast algorithm for nonuniform B-spline curves and surfaces by an incremental method. (Chinese. English summary) Zbl 1240.65032 J. Fujian Norm. Univ., Nat. Sci. 26, No. 2, 38-46 (2010). MSC: 65D07 65D17 PDF BibTeX XML Cite \textit{X. Ding} and \textit{R. Pan}, J. Fujian Norm. Univ., Nat. Sci. 26, No. 2, 38--46 (2010; Zbl 1240.65032)
Lakså, Arne; Bang, Børre; Dechevsky, Lubomir T. Geometric modelling with beta-function B-splines. II: Tensor-product parametric surfaces. (English) Zbl 1219.53006 Int. J. Pure Appl. Math. 65, No. 3, 361-380 (2010). MSC: 53A04 53A05 65D05 65D07 65D17 PDF BibTeX XML Cite \textit{A. Lakså} et al., Int. J. Pure Appl. Math. 65, No. 3, 361--380 (2010; Zbl 1219.53006) Full Text: Link
Lakså, Arne; Bang, Børre; Dechevsky, Lubomir T. Geometric modelling with beta-function B-splines. I: Parametric curves. (English) Zbl 1219.53009 Int. J. Pure Appl. Math. 65, No. 3, 339-360 (2010). MSC: 53A05 53A04 65D05 65D07 65D17 PDF BibTeX XML Cite \textit{A. Lakså} et al., Int. J. Pure Appl. Math. 65, No. 3, 339--360 (2010; Zbl 1219.53009) Full Text: Link
González, David; Cueto, Elías; Doblaré, Manuel A higher-order method based on local maximum entropy approximation. (English) Zbl 1197.74193 Int. J. Numer. Methods Eng. 83, No. 6, 741-764 (2010). MSC: 74S30 PDF BibTeX XML Cite \textit{D. González} et al., Int. J. Numer. Methods Eng. 83, No. 6, 741--764 (2010; Zbl 1197.74193) Full Text: DOI
Mazure, Marie-Laurence A few remarks on recurrence relations for geometrically continuous piecewise Chebyshevian B-splines. (English) Zbl 1175.41008 Numer. Algorithms 51, No. 4, 401-428 (2009). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A15 PDF BibTeX XML Cite \textit{M.-L. Mazure}, Numer. Algorithms 51, No. 4, 401--428 (2009; Zbl 1175.41008) Full Text: DOI
Ganguly, Ashok; Arondekar, Pranjali A study related to interval \(B\)-spline curve. (English) Zbl 1169.65008 Far East J. Appl. Math. 34, No. 2, 151-167 (2009). MSC: 65D05 65D07 65D10 65D17 65D18 PDF BibTeX XML Cite \textit{A. Ganguly} and \textit{P. Arondekar}, Far East J. Appl. Math. 34, No. 2, 151--167 (2009; Zbl 1169.65008) Full Text: Link
González, David; Cueto, Elías; Doblaré, Manuel Higher-order natural element methods: towards an isogeometric meshless method. (English) Zbl 1195.74281 Int. J. Numer. Methods Eng. 74, No. 13, 1928-1954 (2008). MSC: 74S30 74B05 PDF BibTeX XML Cite \textit{D. González} et al., Int. J. Numer. Methods Eng. 74, No. 13, 1928--1954 (2008; Zbl 1195.74281) Full Text: DOI
Mazure, Marie-Laurence Understanding recurrence relations for Chebyshevian B-splines via blossoms. (English) Zbl 1149.41004 J. Comput. Appl. Math. 219, No. 2, 457-470 (2008). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 PDF BibTeX XML Cite \textit{M.-L. Mazure}, J. Comput. Appl. Math. 219, No. 2, 457--470 (2008; Zbl 1149.41004) Full Text: DOI
Bosner, Tina; Rogina, Mladen Numerically stable algorithm for cycloidal splines. (English) Zbl 1182.41024 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 189-197 (2007). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A50 65D07 65D17 PDF BibTeX XML Cite \textit{T. Bosner} and \textit{M. Rogina}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 189--197 (2007; Zbl 1182.41024) Full Text: DOI
Bosner, Tina; Rogina, Mladen Non-uniform exponential tension splines. (English) Zbl 1130.65019 Numer. Algorithms 46, No. 3, 265-294 (2007). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D07 41A50 41A15 PDF BibTeX XML Cite \textit{T. Bosner} and \textit{M. Rogina}, Numer. Algorithms 46, No. 3, 265--294 (2007; Zbl 1130.65019) Full Text: DOI
Popiel, Tomasz On parametric smoothness of generalised B-spline curves. (English) Zbl 1109.65015 Comput. Aided Geom. Des. 23, No. 8, 655-668 (2006). Reviewer: Aurelian Bejancu (Safat) MSC: 65D17 65D07 PDF BibTeX XML Cite \textit{T. Popiel}, Comput. Aided Geom. Des. 23, No. 8, 655--668 (2006; Zbl 1109.65015) Full Text: DOI
Mühlbach, Günter W.; Tang, Yuehong Computing ECT-B-splines recursively. (English) Zbl 1090.65015 Numer. Algorithms 41, No. 1, 35-78 (2006). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D07 41A15 41A05 PDF BibTeX XML Cite \textit{G. W. Mühlbach} and \textit{Y. Tang}, Numer. Algorithms 41, No. 1, 35--78 (2006; Zbl 1090.65015) Full Text: DOI
Mühlbach, Günter W.; Tang, Yuehong Construction of ECT-B-splines, a survey. (English) Zbl 1108.41008 Ann. Math. Inform. 32, 95-123 (2005). MSC: 41A15 41A05 PDF BibTeX XML Cite \textit{G. W. Mühlbach} and \textit{Y. Tang}, Ann. Math. Inform. 32, 95--123 (2005; Zbl 1108.41008) Full Text: EuDML
Mazure, Marie-Laurence Blossoming stories. (English) Zbl 1071.65016 Numer. Algorithms 39, No. 1-3, 257-288 (2005). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65D17 PDF BibTeX XML Cite \textit{M.-L. Mazure}, Numer. Algorithms 39, No. 1--3, 257--288 (2005; Zbl 1071.65016) Full Text: DOI
Bosner, Tina Knot insertion algorithms for weighted splines. (English) Zbl 1069.65009 Drmač, Zlatko (ed.) et al., Proceedings of the conference on applied mathematics and scientific computing. Selected papers of the third conference on applied mathematics and scientific computing, Brijuni, Croatia, June 23–27, 2003. Dordrecht: Springer (ISBN 1-4020-3196-3/hbk). 151-160 (2005). MSC: 65D07 65D17 PDF BibTeX XML Cite \textit{T. Bosner}, in: Proceedings of the conference on applied mathematics and scientific computing. Selected papers of the third conference on applied mathematics and scientific computing, Brijuni, Croatia, June 23--27, 2003. Dordrecht: Springer. 151--160 (2005; Zbl 1069.65009)
Goldman, Ron; Ramshaw, Lyle; Morin, Géraldine Blossoming analytic functions using the paired algebras of forms and sites. (English) Zbl 1060.65535 Lucian, Miriam L. (ed.) et al., Geometric modeling and computing: Seattle 2003. Selected papers of the 8th SIAM conference on geometric design and computing, Seattle, WA, USA, November 9–13, 2003. Brentwood, TN: Nashboro Press (ISBN 0-0-9728482-3-1/hbk). Modern Methods in Mathematics, 249-278 (2004). MSC: 65D17 PDF BibTeX XML Cite \textit{R. Goldman} et al., in: Geometric modeling and computing: Seattle 2003. Selected papers of the 8th SIAM conference on geometric design and computing, Seattle, WA, USA, November 9--13, 2003. Brentwood, TN: Nashboro Press. 249--278 (2004; Zbl 1060.65535)
Zhao, Shufeng Error analysis on the de Boor algorithm. (Chinese. English summary) Zbl 1065.65022 J. Math. Study 36, No. 1, 58-62 (2003). MSC: 65D17 65D07 PDF BibTeX XML Cite \textit{S. Zhao}, J. Math. Study 36, No. 1, 58--62 (2003; Zbl 1065.65022)
Rogina, Mladen; Bosner, Tina A de Boor type algorithm for tension splines. (English) Zbl 1036.65010 Cohen, Albert (ed.) et al., Curve und surface fitting, Saint-Malo 2002. Fifth international conference on curves and surfaces, Saint-Malo, France, June 27 – July 3, 2002. Brentwood, TN: Nashboro Press (ISBN 0-9728482-1-5/hbk). Modern Methods in Mathematics, 343-352 (2003). MSC: 65D07 41A15 PDF BibTeX XML Cite \textit{M. Rogina} and \textit{T. Bosner}, in: Curve und surface fitting, Saint-Malo 2002. Fifth international conference on curves and surfaces, Saint-Malo, France, June 27 -- July 3, 2002. Brentwood, TN: Nashboro Press. 343--352 (2003; Zbl 1036.65010)
Wu, Zongmin Geometric continuous B-spline – a generalization of the approach of \(\gamma\)-spline. (English) Zbl 1031.65025 Wang, Ren-Hong (ed.), Computational geometry. Lectures at the Morningside Center of Mathematics. Papers partially based on lectures at the symposium of computational geometry, Beijing, China, June 11-15, 1998. Providence, RI: American Mathematical Society (AMS). AMS/IP Stud. Adv. Math. 34, 201-211 (2003). MSC: 65D07 41A10 41A15 65D17 65D10 PDF BibTeX XML Cite \textit{Z. Wu}, AMS/IP Stud. Adv. Math. 34, 201--211 (2003; Zbl 1031.65025)
Wang, Ning; Tang, Yuehong Spherical NURBS curves. (Chinese. English summary) Zbl 1007.65009 J. Nanjing Univ. Aeronaut. Astronaut. 33, No. 6, 596-598 (2001). Reviewer: Liu Xinguo (Qingdao) MSC: 65D17 65D07 65D05 65D10 PDF BibTeX XML Cite \textit{N. Wang} and \textit{Y. Tang}, J. Nanjing Univ. Aeronaut. Astronaut. 33, No. 6, 596--598 (2001; Zbl 1007.65009)
Goodman, Tim; Mazure, Marie-Laurence Blossoming beyond extended Chebyshev spaces. (English) Zbl 0996.41005 J. Approximation Theory 109, No. 1, 48-81 (2001). Reviewer: A.L.Brown (Chandigarh) MSC: 41A15 65D17 68U07 PDF BibTeX XML Cite \textit{T. Goodman} and \textit{M.-L. Mazure}, J. Approx. Theory 109, No. 1, 48--81 (2001; Zbl 0996.41005) Full Text: DOI
Gao, Junbin On a class of abstract Newton’s interpolation. (Chinese. English summary) Zbl 0932.65007 J. Huazhong Univ. Sci. Technol. 25, No. 11, 99-100, 103 (1997). Reviewer: Fuhua Ling (Cumming) MSC: 65D05 41A05 41A63 PDF BibTeX XML Cite \textit{J. Gao}, J. Huazhong Univ. Sci. Technol. 25, No. 11, 99--100, 103 (1997; Zbl 0932.65007)
Kobbelt, Leif Stable evaluation of box-splines. (English) Zbl 0885.65010 Numer. Algorithms 14, No. 4, 377-382 (1997). Reviewer: V.V.Kobkov (Novosibirsk) MSC: 65D07 41A15 65Y20 PDF BibTeX XML Cite \textit{L. Kobbelt}, Numer. Algorithms 14, No. 4, 377--382 (1997; Zbl 0885.65010) Full Text: DOI
Zhang, Xiaopeng; Kang, Baosheng; Ru, Shaofeng Directional derivatives of \(B\)-spline surfaces and their efficient evaluation. (Chinese. English summary) Zbl 0871.65009 Numer. Math., Nanjing 18, No. 3, 195-202 (1996). Reviewer: Wang Cheng-Shu (Denver) MSC: 65D17 65D07 PDF BibTeX XML Cite \textit{X. Zhang} et al., Numer. Math., Nanjing 18, No. 3, 195--202 (1996; Zbl 0871.65009)
Barry, Phillip J.; Shankar, Subash Observations on recursive evaluation algorithms in CAGD. (English) Zbl 0849.65009 Ann. Numer. Math. 3, No. 1-4, 1-12 (1996). Reviewer: B.Hamann (Mississippi State) MSC: 65D17 PDF BibTeX XML Cite \textit{P. J. Barry} and \textit{S. Shankar}, Ann. Numer. Math. 3, No. 1--4, 1--12 (1996; Zbl 0849.65009)
Lee, E. T. Y. Computing a chain of blossoms, with application to products of splines. (English) Zbl 0869.65008 Comput. Aided Geom. Des. 11, No. 6, 597-620 (1994). MSC: 65D07 PDF BibTeX XML Cite \textit{E. T. Y. Lee}, Comput. Aided Geom. Des. 11, No. 6, 597--620 (1994; Zbl 0869.65008) Full Text: DOI
Boehm, Wolfgang An affine representation of de Casteljau’s and de Boor’s rational algorithms. (English) Zbl 0782.65013 Comput. Aided Geom. Des. 10, No. 3-4, 175-180 (1993). Reviewer: G.Walz (Mannheim) MSC: 65D17 PDF BibTeX XML Cite \textit{W. Boehm}, Comput. Aided Geom. Des. 10, No. 3--4, 175--180 (1993; Zbl 0782.65013) Full Text: DOI
Seidel, Hans-Peter Polar forms for geometrically continuous spline curves of arbitrary degree. (English) Zbl 0770.68116 ACM Trans. Graph. 12, No. 1, 1-34 (1993). MSC: 68U05 PDF BibTeX XML Cite \textit{H.-P. Seidel}, ACM Trans. Graph. 12, No. 1, 1--34 (1993; Zbl 0770.68116) Full Text: DOI
Grabowski, H.; Li, X. Coefficient formula and matrix of nonuniform B-spline functions. (English) Zbl 0783.65003 Comput.-Aided Des. 24, No. 12, 637-642 (1992). Reviewer: B.D.Bojanov (Sofia) MSC: 65D07 65D17 PDF BibTeX XML Cite \textit{H. Grabowski} and \textit{X. Li}, Comput.-Aided Des. 24, No. 12, 637--642 (1992; Zbl 0783.65003) Full Text: DOI
Plonka, G.; Tasche, M. Efficient algorithms for periodic Hermite spline interpolation. (English) Zbl 0769.65005 Math. Comput. 58, No. 198, 693-703 (1992). Reviewer: M.Lenard (Kuwait) MSC: 65D07 65D05 41A15 PDF BibTeX XML Cite \textit{G. Plonka} and \textit{M. Tasche}, Math. Comput. 58, No. 198, 693--703 (1992; Zbl 0769.65005) Full Text: DOI
Seidel, H.-P. New algorithms and techniques for computing with geometrically continuous spline curves of arbitrary degree. (English) Zbl 0752.65008 RAIRO, Modélisation Math. Anal. Numér. 26, No. 1, 149-176 (1992). Reviewer: H.Guggenheimer (West Hempstead) MSC: 65D17 65D07 65D18 68U05 PDF BibTeX XML Cite \textit{H. P. Seidel}, RAIRO, Modélisation Math. Anal. Numér. 26, No. 1, 149--176 (1992; Zbl 0752.65008) Full Text: DOI EuDML
Seidel, Hans-Peter Symmetric recursive algorithms for surfaces: B-patches and the de Boor algorithm for polynomials over triangles. (English) Zbl 0733.41018 Constructive Approximation 7, No. 2, 257-279 (1991). Reviewer: B.D.Bojanov (Sofia) MSC: 41A15 65D17 PDF BibTeX XML Cite \textit{H.-P. Seidel}, Constr. Approx. 7, No. 2, 257--279 (1991; Zbl 0733.41018) Full Text: DOI
Goodman, T. N. T. Joining rational curves smoothly. (English) Zbl 0744.65010 Comput. Aided Geom. Des. 8, No. 6, 443-464 (1991). Reviewer: M.Gaşpar (Iaşi) MSC: 65D17 65D07 PDF BibTeX XML Cite \textit{T. N. T. Goodman}, Comput. Aided Geom. Des. 8, No. 6, 443--464 (1991; Zbl 0744.65010) Full Text: DOI
Choi, B. K.; Yoo, W. S.; Lee, C. S. Matrix representation for NURB curves and surfaces. (English) Zbl 0717.65005 Comput.-Aided Des. 22, No. 4, 235-240 (1990). Reviewer: D.Cui MSC: 65D07 65D17 65D05 PDF BibTeX XML Cite \textit{B. K. Choi} et al., Comput.-Aided Des. 22, No. 4, 235--240 (1990; Zbl 0717.65005) Full Text: DOI
Seidel, Hans-Peter Symmetric triangular algorithms for curves. (English) Zbl 0717.65004 Comput. Aided Geom. Des. 7, No. 1-4, 57-67 (1990). Reviewer: V.V.Kobkov MSC: 65D07 65D17 PDF BibTeX XML Cite \textit{H.-P. Seidel}, Comput. Aided Geom. Des. 7, No. 1--4, 57--67 (1990; Zbl 0717.65004) Full Text: DOI
Goldman, R. N. Recursive triangles. (English) Zbl 0698.65010 Computation of curves and surfaces, Proc. NATO ASI, Puerto de la Cruz, Tenerife/Spain 1989, NATO ASI Ser., Ser. C 307, 27-72 (1990). Reviewer: M.Tasche MSC: 65D07 65D05 41A05 41A15 PDF BibTeX XML
Ramshaw, Lyle Blossoms are polar forms. (English) Zbl 0705.65008 Comput. Aided Geom. Des. 6, No. 4, 323-358 (1989). MSC: 65D07 41A15 PDF BibTeX XML Cite \textit{L. Ramshaw}, Comput. Aided Geom. Des. 6, No. 4, 323--358 (1989; Zbl 0705.65008) Full Text: DOI
Prautzsch, Hartmut Some remarks on three B-spline constructions. (English) Zbl 0681.41004 Mathematical methods in computer aided geometric design, Pap. Int. Conf., Oslo/Norw. 1988, 481-487 (1989). MSC: 41A15 PDF BibTeX XML
Seidel, Hans-Peter Knot insertion from a blossoming point of view. (English) Zbl 0665.65009 Comput. Aided Geom. Des. 5, No. 1, 81-86 (1988). Reviewer: C.Geiger MSC: 65D07 41A15 PDF BibTeX XML Cite \textit{H.-P. Seidel}, Comput. Aided Geom. Des. 5, No. 1, 81--86 (1988; Zbl 0665.65009) Full Text: DOI
Boehm, Wolfgang On de Boor-like algorithms and blossoming. (English) Zbl 0657.65015 Comput. Aided Geom. Des. 5, No. 1, 71-79 (1988). Reviewer: C.Geiger MSC: 65D07 65D05 41A05 41A15 PDF BibTeX XML Cite \textit{W. Boehm}, Comput. Aided Geom. Des. 5, No. 1, 71--79 (1988; Zbl 0657.65015) Full Text: DOI
Kocić, Lj. M.; Danković, B. Process identification using B-splines. (English) Zbl 0653.65088 Numerical methods and approximation theory III, 3rd Conf., Niš/Yugosl. 1987 (1988), 257-264 (1988). Reviewer: V.Arnăutu (Iaşi) MSC: 65R10 65K10 44A10 93B40 PDF BibTeX XML
Hřebíček, Jiří; Šik, František On some methods of the construction of smoothing splines. (English) Zbl 0613.65009 Numerical approximation of partial differential equations, Sel. Pap. Int. Symp. Numer. Anal., Madrid/Spain 1985, North-Holland Math. Stud. 133, 141-150 (1987). MSC: 65D07 41A15 PDF BibTeX XML
Lee, E. T. Y. Some remarks concerning B-splines. (English) Zbl 0606.65004 Comput. Aided Geom. Des. 2, 307-311 (1985). Reviewer: H.P.Dikshit MSC: 65D07 41A15 PDF BibTeX XML Cite \textit{E. T. Y. Lee}, Comput. Aided Geom. Des. 2, 307--311 (1985; Zbl 0606.65004) Full Text: DOI