Li, Jinggai; Ji, Ye; Zhu, Chungang De Casteljau algorithm and degree elevation of toric surface patches. (English) Zbl 07331546 J. Syst. Sci. Complex. 34, No. 1, 21-46 (2021). MSC: 65 PDF BibTeX XML Cite \textit{J. Li} et al., J. Syst. Sci. Complex. 34, No. 1, 21--46 (2021; Zbl 07331546) Full Text: DOI
Uwitije, Rongin; Wang, Xuhui; Qarariyah, Ammar; Deng, Jiansong Nonlinear weighted average and blossoming. (English) Zbl 1450.65009 Commun. Math. Stat. 8, No. 3, 361-378 (2020). MSC: 65D10 PDF BibTeX XML Cite \textit{R. Uwitije} et al., Commun. Math. Stat. 8, No. 3, 361--378 (2020; Zbl 1450.65009) Full Text: DOI
Zhang, Erchuan; Noakes, Lyle The cubic de Casteljau construction and Riemannian cubics. (English) Zbl 07137439 Comput. Aided Geom. Des. 75, Article ID 101789, 16 p. (2019). MSC: 65D PDF BibTeX XML Cite \textit{E. Zhang} and \textit{L. Noakes}, Comput. Aided Geom. Des. 75, Article ID 101789, 16 p. (2019; Zbl 07137439) Full Text: DOI
Samir, Chafik; Adouani, Ines \(C^1\) interpolating Bézier path on Riemannian manifolds, with applications to 3D shape space. (English) Zbl 1429.65041 Appl. Math. Comput. 348, 371-384 (2019). MSC: 65D17 65D07 PDF BibTeX XML Cite \textit{C. Samir} and \textit{I. Adouani}, Appl. Math. Comput. 348, 371--384 (2019; Zbl 1429.65041) Full Text: DOI
Khan, Khalid; Lobiyal, D. K.; Kilicman, Adem Bézier curves and surfaces based on modified Bernstein polynomials. (English) Zbl 1411.65036 Azerb. J. Math. 9, No. 1, 3-21 (2019). MSC: 65D17 41A10 41A25 41A36 PDF BibTeX XML Cite \textit{K. Khan} et al., Azerb. J. Math. 9, No. 1, 3--21 (2019; Zbl 1411.65036)
Nawratil, Georg Alternative interpretation of the Plücker quadric’s ambient space and its application. (English) Zbl 1400.51010 Cocchiarella, Luigi (ed.), ICGG 2018 – Proceedings of the 18th international conference on geometry and graphics. 40th anniversary – Milan, Italy, August 3–7, 2018. In 2 volumes. Cham: Springer; Milan: Politecnico de Milano (ISBN 978-3-319-95587-2/pbk; 978-3-319-95588-9/ebook). Advances in Intelligent Systems and Computing 809, 918-929 (2019). MSC: 51M05 51A05 PDF BibTeX XML Cite \textit{G. Nawratil}, Adv. Intell. Syst. Comput. 809, 918--929 (2019; Zbl 1400.51010) Full Text: DOI
Erkan, Esra; Yüce, Salim Serret-Frenet frame and curvatures of Bézier curves. (English) Zbl 1425.53004 Mathematics 6, No. 12, Paper No. 321, 20 p. (2018). MSC: 53A04 PDF BibTeX XML Cite \textit{E. Erkan} and \textit{S. Yüce}, Mathematics 6, No. 12, Paper No. 321, 20 p. (2018; Zbl 1425.53004) Full Text: DOI
Nawratil, Georg The Plücker quadric’s ambient space: alternative interpretation and its application. (English) Zbl 1412.51018 J. Geom. Graph. 22, No. 2, 229-244 (2018). MSC: 51M30 53A17 PDF BibTeX XML Cite \textit{G. Nawratil}, J. Geom. Graph. 22, No. 2, 229--244 (2018; Zbl 1412.51018) Full Text: Link
Khan, Khalid; Lobiyal, D. K.; Kilicman, Adem A de Casteljau algorithm for Bernstein type polynomials based on \((p, q)\)-integers. (English) Zbl 1417.65083 Appl. Appl. Math. 13, No. 2, 997-1017 (2018). MSC: 65D17 41A25 PDF BibTeX XML Cite \textit{K. Khan} et al., Appl. Appl. Math. 13, No. 2, 997--1017 (2018; Zbl 1417.65083) Full Text: Link
Sarwar, Musavarah; Akram, Muhammad Certain algorithms for modeling uncertain data using fuzzy tensor product Bézier surfaces. (English) Zbl 06898734 Mathematics 6, No. 3, Paper No. 42, 12 p. (2018). MSC: 65 68 PDF BibTeX XML Cite \textit{M. Sarwar} and \textit{M. Akram}, Mathematics 6, No. 3, Paper No. 42, 12 p. (2018; Zbl 06898734) Full Text: DOI
Li, Cai-Yun; Zhu, Chun-Gang \(G^1\) continuity of four pieces of developable surfaces with Bézier boundaries. (English) Zbl 1376.65015 J. Comput. Appl. Math. 329, 164-172 (2018). MSC: 65D17 PDF BibTeX XML Cite \textit{C.-Y. Li} and \textit{C.-G. Zhu}, J. Comput. Appl. Math. 329, 164--172 (2018; Zbl 1376.65015) Full Text: DOI
Lv, Yanyan; Liu, Zhi; Liu, Xiaoyan Disk rational \(q\)-Bézier curves. (Chinese. English summary) Zbl 1424.65014 J. Hefei Univ. Technol., Nat. Sci. 40, No. 9, 1289-1293 (2017). MSC: 65D17 68U07 PDF BibTeX XML Cite \textit{Y. Lv} et al., J. Hefei Univ. Technol., Nat. Sci. 40, No. 9, 1289--1293 (2017; Zbl 1424.65014) Full Text: DOI
Khan, Khalid; Lobiyal, D. K. Bézier curves based on Lupaş \((p,q)\)-analogue of Bernstein functions in CAGD. (English) Zbl 1357.65021 J. Comput. Appl. Math. 317, 458-477 (2017). MSC: 65D17 PDF BibTeX XML Cite \textit{K. Khan} and \textit{D. K. Lobiyal}, J. Comput. Appl. Math. 317, 458--477 (2017; Zbl 1357.65021) Full Text: DOI
Han, Xuli; Zhu, Yuanpeng A practical method for generating trigonometric polynomial surfaces over triangular domains. (English) Zbl 1338.65033 Mediterr. J. Math. 13, No. 2, 841-855 (2016). MSC: 65D07 65D17 41A15 42A05 42A10 PDF BibTeX XML Cite \textit{X. Han} and \textit{Y. Zhu}, Mediterr. J. Math. 13, No. 2, 841--855 (2016; Zbl 1338.65033) Full Text: DOI
Effland, Alexander; Rumpf, Martin; Simon, Stefan; Stahn, Kirsten; Wirth, Benedikt Bézier curves in the space of images. (English) Zbl 1444.65009 Aujol, Jean-François (ed.) et al., Scale space and variational methods in computer vision. 5th international conference, SSVM 2015, Lège-Cap Ferret, France, May 31 – June 4, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9087, 372-384 (2015). MSC: 65D18 PDF BibTeX XML Cite \textit{A. Effland} et al., Lect. Notes Comput. Sci. 9087, 372--384 (2015; Zbl 1444.65009) Full Text: DOI
Winkel, Rudolf On a generalization of Bernstein polynomials and Bézier curves based on umbral calculus. II: De Casteljau algorithm. (English) Zbl 1417.65097 Comput. Aided Geom. Des. 39, 1-16 (2015). MSC: 65D17 33C45 PDF BibTeX XML Cite \textit{R. Winkel}, Comput. Aided Geom. Des. 39, 1--16 (2015; Zbl 1417.65097) Full Text: DOI
Zhu, Yuanpeng; Han, Xuli New trigonometric basis possessing exponential shape parameters. (English) Zbl 1349.65069 J. Comput. Math. 33, No. 6, 642-684 (2015). MSC: 65D07 65D17 PDF BibTeX XML Cite \textit{Y. Zhu} and \textit{X. Han}, J. Comput. Math. 33, No. 6, 642--684 (2015; Zbl 1349.65069) Full Text: DOI
Šír, Zbyněk; Jüttler, Bert On de Casteljau-type algorithms for rational Bézier curves. (English) Zbl 1342.65093 J. Comput. Appl. Math. 288, 244-250 (2015). MSC: 65D17 PDF BibTeX XML Cite \textit{Z. Šír} and \textit{B. Jüttler}, J. Comput. Appl. Math. 288, 244--250 (2015; Zbl 1342.65093) Full Text: DOI
Do, Tan Duc; Waldron, Shayne Multivariate Bernstein operators and redundant systems. (English) Zbl 1375.41003 J. Approx. Theory 192, 215-233 (2015). MSC: 41A10 41A36 65D17 15A18 42C15 PDF BibTeX XML Cite \textit{T. D. Do} and \textit{S. Waldron}, J. Approx. Theory 192, 215--233 (2015; Zbl 1375.41003) Full Text: DOI
Winkel, Rudolf On a generalization of Bernstein polynomials and Bézier curves based on umbral calculus. (English) Zbl 1310.65021 Comput. Aided Geom. Des. 31, No. 5, 227-244 (2014). MSC: 65D17 68U07 PDF BibTeX XML Cite \textit{R. Winkel}, Comput. Aided Geom. Des. 31, No. 5, 227--244 (2014; Zbl 1310.65021) Full Text: DOI
Ainsworth, Mark Pyramid algorithms for Bernstein-Bézier finite elements of high, nonuniform order in any dimension. (English) Zbl 1322.65102 SIAM J. Sci. Comput. 36, No. 2, 543-569 (2014). Reviewer: Nina Shokina (Freiburg) MSC: 65N30 65Y20 65D17 68U07 PDF BibTeX XML Cite \textit{M. Ainsworth}, SIAM J. Sci. Comput. 36, No. 2, 543--569 (2014; Zbl 1322.65102) Full Text: DOI
Chu, Licai; Zeng, Xiao-Ming Constructing curves and triangular patches by Beta functions. (English) Zbl 1293.65026 J. Comput. Appl. Math. 260, 191-200 (2014). MSC: 65D17 65D07 PDF BibTeX XML Cite \textit{L. Chu} and \textit{X.-M. Zeng}, J. Comput. Appl. Math. 260, 191--200 (2014; Zbl 1293.65026) Full Text: DOI
Han, Li-Wen; Chu, Ying; Qiu, Zhi-Yu Generalized Bézier curves and surfaces based on Lupaş \(q\)-analogue of Bernstein operator. (English) Zbl 1281.65022 J. Comput. Appl. Math. 261, 352-363 (2014). MSC: 65D17 PDF BibTeX XML Cite \textit{L.-W. Han} et al., J. Comput. Appl. Math. 261, 352--363 (2014; Zbl 1281.65022) Full Text: DOI
Aichholzer, Oswin; Jüttler, Bert Introduction to applied geometry. (Einführung in die angewandte Geometrie.) (German) Zbl 1285.51001 Mathematik Kompakt. Basel: Birkhäuser/Springer (ISBN 978-3-0346-0143-6/pbk; 978-3-0346-0651-6/ebook). x, 127 p. (2014). Reviewer: Rolf Riesinger (Wien) MSC: 51-01 51N10 51N15 51N20 65D17 65D18 68U05 68U07 PDF BibTeX XML Cite \textit{O. Aichholzer} and \textit{B. Jüttler}, Einführung in die angewandte Geometrie. Basel: Birkhäuser/Springer (2014; Zbl 1285.51001) Full Text: DOI
Li, Yajuan; Deng, Chongyang; Jin, Wenbiao; Zhao, Nailiang On the bounds of the derivative of rational Bézier curves. (English) Zbl 1304.65099 Appl. Math. Comput. 219, No. 21, 10425-10433 (2013). MSC: 65D17 PDF BibTeX XML Cite \textit{Y. Li} et al., Appl. Math. Comput. 219, No. 21, 10425--10433 (2013; Zbl 1304.65099) Full Text: DOI
Nava-Yazdani, E.; Polthier, K. De Casteljau’s algorithm on manifolds. (English) Zbl 1286.65023 Comput. Aided Geom. Des. 30, No. 7, 722-732 (2013). MSC: 65D17 PDF BibTeX XML Cite \textit{E. Nava-Yazdani} and \textit{K. Polthier}, Comput. Aided Geom. Des. 30, No. 7, 722--732 (2013; Zbl 1286.65023) Full Text: DOI
Inoan, Daniela; Raşa, Ioan A recursive algorithm for Bernstein operators of second kind. (English) Zbl 1283.65012 Numer. Algorithms 64, No. 4, 699-706 (2013). MSC: 65D15 PDF BibTeX XML Cite \textit{D. Inoan} and \textit{I. Raşa}, Numer. Algorithms 64, No. 4, 699--706 (2013; Zbl 1283.65012) Full Text: DOI
Zhou, Min; Yang, Junqing; Zheng, Hongchan; Song, Weijie Design and shape adjustment of developable surfaces. (English) Zbl 1272.65020 Appl. Math. Modelling 37, No. 6, 3789-3801 (2013). MSC: 65D17 PDF BibTeX XML Cite \textit{M. Zhou} et al., Appl. Math. Modelling 37, No. 6, 3789--3801 (2013; Zbl 1272.65020) Full Text: DOI Link
Delgado, Jorge; Peña, Juan Manuel On the evaluation of rational triangular Bézier surfaces and the optimal stability of the basis. (English) Zbl 1279.65021 Adv. Comput. Math. 38, No. 4, 701-721 (2013). Reviewer: R. Grant Woods (Winnipeg) MSC: 65D17 65G50 41A20 PDF BibTeX XML Cite \textit{J. Delgado} and \textit{J. M. Peña}, Adv. Comput. Math. 38, No. 4, 701--721 (2013; Zbl 1279.65021) Full Text: DOI
Ait-Haddou, Rachid; Sakane, Yusuke; Nomura, Taishin Gelfond-Bézier curves. (English) Zbl 1278.65012 Comput. Aided Geom. Des. 30, No. 2, 199-225 (2013). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65D17 PDF BibTeX XML Cite \textit{R. Ait-Haddou} et al., Comput. Aided Geom. Des. 30, No. 2, 199--225 (2013; Zbl 1278.65012) Full Text: DOI arXiv
Luo, Zhongxuan; Wang, Qian Geometrically continuous interpolation in spheres. (English) Zbl 1274.65015 J. Math. Res. Appl. 32, No. 4, 379-391 (2012). MSC: 65D05 PDF BibTeX XML Cite \textit{Z. Luo} and \textit{Q. Wang}, J. Math. Res. Appl. 32, No. 4, 379--391 (2012; Zbl 1274.65015) Full Text: DOI
Ait-Haddou, Rachid; Nomura, Taishin Complex Bézier curves and the geometry of polynomials. (English) Zbl 1352.65045 Boissonnat, Jean-Daniel (ed.) et al., Curves and surfaces. 7th international conference, Avignon, France, June 24–30, 2010. Revised selected papers. Berlin: Springer (ISBN 978-3-642-27412-1/pbk). Lecture Notes in Computer Science 6920, 43-65 (2012). MSC: 65D17 PDF BibTeX XML Cite \textit{R. Ait-Haddou} and \textit{T. Nomura}, Lect. Notes Comput. Sci. 6920, 43--65 (2012; Zbl 1352.65045) Full Text: DOI
Yan, Lanlan; Liang, Jiongfeng An extension of the Bézier model. (English) Zbl 1251.65015 Appl. Math. Comput. 218, No. 6, 2863-2879 (2011). Reviewer: Thomas Sonar (Braunschweig) MSC: 65D17 PDF BibTeX XML Cite \textit{L. Yan} and \textit{J. Liang}, Appl. Math. Comput. 218, No. 6, 2863--2879 (2011; Zbl 1251.65015) Full Text: DOI
Hu, Qianqian; Wang, Guojin Rational cubic/quartic Said-Ball conics. (English) Zbl 1240.65051 Appl. Math., Ser. B (Engl. Ed.) 26, No. 2, 198-212 (2011). MSC: 65D17 PDF BibTeX XML Cite \textit{Q. Hu} and \textit{G. Wang}, Appl. Math., Ser. B (Engl. Ed.) 26, No. 2, 198--212 (2011; Zbl 1240.65051) Full Text: DOI
Speleers, Hendrik On multivariate polynomials in Bernstein-Bézier form and tensor algebra. (English) Zbl 1233.65016 J. Comput. Appl. Math. 236, No. 4, 589-599 (2011). Reviewer: H. P. Dikshit (Bhopal) MSC: 65D17 65D05 65D07 PDF BibTeX XML Cite \textit{H. Speleers}, J. Comput. Appl. Math. 236, No. 4, 589--599 (2011; Zbl 1233.65016) Full Text: DOI
Maneesawarng, Chaiwat; Lenbury, Yongwimon On local quadratic subconvexity of metrics and rectifiability of Bézier curves in CAT\((K)\) spaces. (English) Zbl 1236.51010 Nonlinear Stud. 18, No. 3, 437-446 (2011). MSC: 51K99 51F10 52A55 PDF BibTeX XML Cite \textit{C. Maneesawarng} and \textit{Y. Lenbury}, Nonlinear Stud. 18, No. 3, 437--446 (2011; Zbl 1236.51010)
Jiang, Hao; Barrio, Roberto; Liao, Xiangke; Cheng, Lizhi Accurate evaluation algorithm for bivariate polynomial in Bernstein-Bézier form. (English) Zbl 1227.65020 Appl. Numer. Math. 61, No. 11, 1147-1160 (2011). MSC: 65D17 PDF BibTeX XML Cite \textit{H. Jiang} et al., Appl. Numer. Math. 61, No. 11, 1147--1160 (2011; Zbl 1227.65020) Full Text: DOI
Bertot, Yves; Guilhot, Frédérique; Mahboubi, Assia A formal study of Bernstein coefficients and polynomials. (English) Zbl 1236.33016 Math. Struct. Comput. Sci. 21, No. 4, 731-761 (2011). MSC: 33C45 68T15 PDF BibTeX XML Cite \textit{Y. Bertot} et al., Math. Struct. Comput. Sci. 21, No. 4, 731--761 (2011; Zbl 1236.33016) Full Text: DOI
Chen, Wenyu; Yu, Rongdong; Zheng, Jianmin; Cai, Yiyu; Au, Chikit Triangular Bézier sub-surfaces on a triangular Bézier surface. (English) Zbl 1232.65029 J. Comput. Appl. Math. 235, No. 17, 5001-5016 (2011). Reviewer: Gabriela Cristescu (Arad) MSC: 65D17 68U07 PDF BibTeX XML Cite \textit{W. Chen} et al., J. Comput. Appl. Math. 235, No. 17, 5001--5016 (2011; Zbl 1232.65029) Full Text: DOI
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
Zhang, Ren-Jiang; Ma, Weiyin Consolidated sharp bounds for Bézier curve approximation with cutdown polygon and corner cutting polygon. (English) Zbl 1210.65050 Comput. Aided Geom. Des. 27, No. 5, 382-394 (2010). MSC: 65D17 PDF BibTeX XML Cite \textit{R.-J. Zhang} and \textit{W. Ma}, Comput. Aided Geom. Des. 27, No. 5, 382--394 (2010; Zbl 1210.65050) Full Text: DOI
Costantini, Paolo; Manni, Carla A geometric approach for Hermite subdivision. (English) Zbl 1198.65043 Numer. Math. 115, No. 3, 333-369 (2010). Reviewer: Ivana Linkeová (Praha) MSC: 65D18 65D05 PDF BibTeX XML Cite \textit{P. Costantini} and \textit{C. Manni}, Numer. Math. 115, No. 3, 333--369 (2010; Zbl 1198.65043) Full Text: DOI
Henrion, Didier Is the logo of CNRS convex? (Le logo du CNRS est-il convexe?) (French) Zbl 1228.53004 Matapli 88, 63-70 (2009). Reviewer: Anatoliy Milka (Kharkov) MSC: 53A04 52A10 68U05 PDF BibTeX XML Cite \textit{D. Henrion}, Matapli 88, 63--70 (2009; Zbl 1228.53004)
Delgado, Jorge; Peña, J. M. Running relative error for the evaluation of polynomials. (English) Zbl 1202.65061 SIAM J. Sci. Comput. 31, No. 5, 3905-3921 (2009). Reviewer: Jacek Gilewicz (Marseille) MSC: 65G50 65D17 65D20 26A09 PDF BibTeX XML Cite \textit{J. Delgado} and \textit{J. M. Peña}, SIAM J. Sci. Comput. 31, No. 5, 3905--3921 (2009; Zbl 1202.65061) Full Text: DOI
Dişibüyük, Çetin; Oruç, Halil Tensor product \(q\)-Bernstein polynomials. (English) Zbl 1169.65011 BIT 48, No. 4, 689-700 (2008). Reviewer: Juan Monterde (Burjasot) MSC: 65D17 PDF BibTeX XML Cite \textit{Ç. Dişibüyük} and \textit{H. Oruç}, BIT 48, No. 4, 689--700 (2008; Zbl 1169.65011) Full Text: DOI
Wang, Renhong; Wu, Jinming Real root isolation of spline functions. (English) Zbl 1174.65006 J. Comput. Math. 26, No. 1, 69-75 (2008). MSC: 65D07 14Q05 PDF BibTeX XML Cite \textit{R. Wang} and \textit{J. Wu}, J. Comput. Math. 26, No. 1, 69--75 (2008; Zbl 1174.65006)
Cao, Juan; Chen, Wenyu; Wang, Guozhao Bound estimations on lower derivatives of rational triangular Bézier surfaces. (English) Zbl 1174.65317 J. Softw. 18, No. 9, 2326-2335 (2007). MSC: 65D17 PDF BibTeX XML Cite \textit{J. Cao} et al., J. Softw. 18, No. 9, 2326--2335 (2007; Zbl 1174.65317) Full Text: DOI
Dişibüyük, Çetin; Oruç, Halil A generalization of rational Bernstein-Bézier curves. (English) Zbl 1118.65010 BIT 47, No. 2, 313-323 (2007). MSC: 65D17 PDF BibTeX XML Cite \textit{Ç. Dişibüyük} and \textit{H. Oruç}, BIT 47, No. 2, 313--323 (2007; Zbl 1118.65010) Full Text: DOI
Mainar, Esmeralda; Peña, J. M. Evaluation algorithms for multivariate polynomials in Bernstein-Bézier form. (English) Zbl 1104.41007 J. Approximation Theory 143, No. 1, 44-61 (2006). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A10 65D17 PDF BibTeX XML Cite \textit{E. Mainar} and \textit{J. M. Peña}, J. Approx. Theory 143, No. 1, 44--61 (2006; Zbl 1104.41007) Full Text: DOI
Delgado, Jorge; Peña, Juan Manuel On the generalized Ball bases. (English) Zbl 1095.65013 Adv. Comput. Math. 24, No. 1-4, 263-280 (2006). MSC: 65D15 65Y20 26C05 41A10 PDF BibTeX XML Cite \textit{J. Delgado} and \textit{J. M. Peña}, Adv. Comput. Math. 24, No. 1--4, 263--280 (2006; Zbl 1095.65013) Full Text: DOI
Mainar, E.; Peña, J. M. Running error analysis of evaluation algorithms for bivariate polynomials in barycentric Bernstein form. (English) Zbl 1087.65019 Computing 77, No. 1, 97-111 (2006). MSC: 65D20 65D17 26C05 PDF BibTeX XML Cite \textit{E. Mainar} and \textit{J. M. Peña}, Computing 77, No. 1, 97--111 (2006; Zbl 1087.65019) Full Text: DOI
Salomon, David Curves and surfaces for computer graphics. (English) Zbl 1083.65022 New York, NY: Springer (ISBN 0-387-24196-5/hbk). xvi, 461 p. (2006). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 65D18 65D17 65D07 68U05 51N05 65-01 68-01 65D05 PDF BibTeX XML Cite \textit{D. Salomon}, Curves and surfaces for computer graphics. New York, NY: Springer (2006; Zbl 1083.65022) Full Text: DOI
Goldman, Ron; Mann, Stephen Counting pruned Bézier curves. (English) Zbl 1080.65521 Dæhlen, Morten (ed.) et al., Mathematical methods for curves and surfaces: Tromsø 2004. Sixth international conference on mathematical methods for curves and surfaces, celebrating the 60th birthday of Tom Lyche, Tromsø, Norway, July 1–6, 2004. Brentwood, TN: Nashboro Press (ISBN 0-9728482-4-X/hbk). Modern Methods in Mathematics, 169-178 (2005). MSC: 65D17 PDF BibTeX XML Cite \textit{R. Goldman} and \textit{S. Mann}, in: Mathematical methods for curves and surfaces: Tromsø\ 2004. Sixth international conference on mathematical methods for curves and surfaces, celebrating the 60th birthday of Tom Lyche, Tromsø, Norway, July 1--6, 2004. Brentwood, TN: Nashboro Press. 169--178 (2005; Zbl 1080.65521)
Delgado, J.; Pe\=na, J. M. On efficient algorithms for the evaluation of rational tensor product surfaces. (English) Zbl 1080.65519 Dæhlen, Morten (ed.) et al., Mathematical methods for curves and surfaces: Tromsø 2004. Sixth international conference on mathematical methods for curves and surfaces, celebrating the 60th birthday of Tom Lyche, Tromsø, Norway, July 1–6, 2004. Brentwood, TN: Nashboro Press (ISBN 0-9728482-4-X/hbk). Modern Methods in Mathematics, 115-124 (2005). MSC: 65D17 PDF BibTeX XML Cite \textit{J. Delgado} and \textit{J. M. Pe\=na}, in: Mathematical methods for curves and surfaces: Tromsø\ 2004. Sixth international conference on mathematical methods for curves and surfaces, celebrating the 60th birthday of Tom Lyche, Tromsø, Norway, July 1--6, 2004. Brentwood, TN: Nashboro Press. 115--124 (2005; Zbl 1080.65519)
Jiang, Su-Rong; Wang, Guo-Jin Conversion and evaluation for two types of parametric surfaces constructed by NTP bases. (English) Zbl 1083.65011 Comput. Math. Appl. 49, No. 2-3, 321-329 (2005). Reviewer: Ivana Linkeová (Praha) MSC: 65D17 65Y20 PDF BibTeX XML Cite \textit{S.-R. Jiang} and \textit{G.-J. Wang}, Comput. Math. Appl. 49, No. 2--3, 321--329 (2005; Zbl 1083.65011) Full Text: DOI
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
Kiciak, Przemysław; Zidna, Ahmed Recursive de Casteljau bisection and rounding errors. (English) Zbl 1069.65573 Comput. Aided Geom. Des. 21, No. 7, 683-695 (2004). MSC: 65H05 PDF BibTeX XML Cite \textit{P. Kiciak} and \textit{A. Zidna}, Comput. Aided Geom. Des. 21, No. 7, 683--695 (2004; Zbl 1069.65573) Full Text: DOI
Aumann, Günter Degree elevation and developable Bézier surfaces. (English) Zbl 1069.65506 Comput. Aided Geom. Des. 21, No. 7, 661-670 (2004). MSC: 65D17 PDF BibTeX XML Cite \textit{G. Aumann}, Comput. Aided Geom. Des. 21, No. 7, 661--670 (2004; Zbl 1069.65506) Full Text: DOI
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)
Lewanowicz, Stanisław; Woźny, Paweł Generalized Bernstein polynomials. (English) Zbl 1045.41003 BIT 44, No. 1, 63-78 (2004). Reviewer: Jeremy Lovejoy (Talence) MSC: 41A10 33D45 PDF BibTeX XML Cite \textit{S. Lewanowicz} and \textit{P. Woźny}, BIT 44, No. 1, 63--78 (2004; Zbl 1045.41003) Full Text: DOI
Aumann, Günter A simple algorithm for designing developable Bézier surfaces. (English) Zbl 1069.65505 Comput. Aided Geom. Des. 20, No. 8-9, 601-619 (2003). MSC: 65D17 PDF BibTeX XML Cite \textit{G. Aumann}, Comput. Aided Geom. Des. 20, No. 8--9, 601--619 (2003; Zbl 1069.65505) Full Text: DOI
Krasauskas, Rimvydas; Goldman, Ron Toric Bézier patches with depth. (English) Zbl 1039.65014 Goldman, Ron (ed.) et al., Topics in algebraic geometry and geometric modeling. Proceedings of the workshop on algebraic geometry and geometric modeling, July 29–August 2, 2002, Vilnius, Lithuania. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3420-7/pbk). Contemp. Math. 334, 65-91 (2003). MSC: 65D17 14M25 PDF BibTeX XML Cite \textit{R. Krasauskas} and \textit{R. Goldman}, Contemp. Math. 334, 65--91 (2003; Zbl 1039.65014)
Goldman, Ron Polar forms in geometric modeling and algebraic geometry. (English) Zbl 1039.65013 Goldman, Ron (ed.) et al., Topics in algebraic geometry and geometric modeling. Proceedings of the workshop on algebraic geometry and geometric modeling, July 29–August 2, 2002, Vilnius, Lithuania. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3420-7/pbk). Contemp. Math. 334, 3-24 (2003). MSC: 65D17 52A39 52B20 PDF BibTeX XML Cite \textit{R. Goldman}, Contemp. Math. 334, 3--24 (2003; Zbl 1039.65013)
Hatvany, Adalbert Csaba Stancu curves in CAGD. (English) Zbl 1084.65504 Rev. Anal. Numér. Théor. Approx. 31, No. 1, 71-87 (2002). MSC: 65D17 65D05 65D10 68U05 PDF BibTeX XML Cite \textit{A. C. Hatvany}, Rev. Anal. Numér. Théor. Approx. 31, No. 1, 71--87 (2002; Zbl 1084.65504)
Zhou, Min; Peng, Guohua; Ye, Zhenglin; Yang, Junqing Computer-aided design of uniformly developable surfaces. (Chinese. English summary) Zbl 1008.65008 J. Shaanxi Norm. Univ., Nat. Sci. Ed. 30, No. 2, 11-14 (2002). MSC: 65D17 PDF BibTeX XML Cite \textit{M. Zhou} et al., J. Shaanxi Norm. Univ., Nat. Sci. Ed. 30, No. 2, 11--14 (2002; Zbl 1008.65008)
Dejdumrong, Nattawit; Huynh Ngoc Phien; Hoang Le Tien; Lay, Kyaw Moe Rational Wang-Ball curves. (English) Zbl 1010.65007 Int. J. Math. Educ. Sci. Technol. 32, No. 4, 565-584 (2001). Reviewer: Dana Petcu (Timisoara) MSC: 65D17 65Y20 PDF BibTeX XML Cite \textit{N. Dejdumrong} et al., Int. J. Math. Educ. Sci. Technol. 32, No. 4, 565--584 (2001; Zbl 1010.65007) Full Text: DOI
Morin, G.; Goldman, R. A subdivision scheme for Poisson curves and surfaces. (English) Zbl 0948.68185 Comput. Aided Geom. Des. 17, No. 9, 813-833 (2000). MSC: 68U05 PDF BibTeX XML Cite \textit{G. Morin} and \textit{R. Goldman}, Comput. Aided Geom. Des. 17, No. 9, 813--833 (2000; Zbl 0948.68185) Full Text: DOI
Dussault, Jean-Pierre; Pfister, Nicolas Modelization of flexible objects using constrained optimization and B-spline surfaces. (English) Zbl 0969.65013 Dubuc, Serge (ed.) et al., Spline functions and the theory of wavelets. Providence, RI: AMS, American Mathematical Society. CRM Proc. Lect. Notes. 18, 51-64 (1999). MSC: 65D17 PDF BibTeX XML Cite \textit{J.-P. Dussault} and \textit{N. Pfister}, in: Spline functions and the theory of wavelets. Providence, RI: AMS, American Mathematical Society. 51--64 (1999; Zbl 0969.65013)
Crouch, P.; Kun, G.; Silva Leite, F. The De Casteljau algorithm on Lie groups and spheres. (English) Zbl 0961.53027 J. Dyn. Control Syst. 5, No. 3, 397-429 (1999). Reviewer: Adela-Gabriela Oiaga (Bucureşti) MSC: 53C35 65D17 70E15 53C22 70-08 70Q05 PDF BibTeX XML Cite \textit{P. Crouch} et al., J. Dyn. Control Syst. 5, No. 3, 397--429 (1999; Zbl 0961.53027) Full Text: DOI
Mazure, Marie-Laurence Chebyshev spaces with polynomial blossoms. (English) Zbl 0933.65016 Adv. Comput. Math. 10, No. 3-4, 219-238 (1999). Reviewer: M.Gaşpar (Iaşi) MSC: 65D17 PDF BibTeX XML Cite \textit{M.-L. Mazure}, Adv. Comput. Math. 10, No. 3--4, 219--238 (1999; Zbl 0933.65016) Full Text: DOI
Wang, Guojin; Sederberg, T. W. Verifying the implicatization formulae for degree \(n\) rational Bézier curves. (English) Zbl 0924.65012 J. Comput. Math. 17, No. 1, 33-40 (1999). Reviewer: Guido Walz (Mannheim) MSC: 65D17 PDF BibTeX XML Cite \textit{G. Wang} and \textit{T. W. Sederberg}, J. Comput. Math. 17, No. 1, 33--40 (1999; Zbl 0924.65012)
Mainar, E.; Peña, J. M. Evaluation and subdivision algorithms for totally positive systems. (English) Zbl 0905.65017 Dæhlen, Morten (ed.) et al., Mathematical methods for curves and surfaces II. 2nd international conference, Lillehammer, Norway, July 3–8, 1997. Nashville, TN: Vanderbilt Univ. Press. 327-334 (1998). MSC: 65D17 PDF BibTeX XML Cite \textit{E. Mainar} and \textit{J. M. Peña}, in: Mathematical methods for curves and surfaces II. 2nd international conference, Lillehammer, Norway, July 3--8, 1997. Nashville, TN: Vanderbilt Univ. Press. 327--334 (1998; Zbl 0905.65017)
Gravesen, Jens De Casteljau’s algorithm revisited. (English) Zbl 0905.65015 Dæhlen, Morten (ed.) et al., Mathematical methods for curves and surfaces II. 2nd international conference, Lillehammer, Norway, July 3–8, 1997. Nashville, TN: Vanderbilt Univ. Press. 221-228 (1998). MSC: 65D17 PDF BibTeX XML Cite \textit{J. Gravesen}, in: Mathematical methods for curves and surfaces II. 2nd international conference, Lillehammer, Norway, July 3--8, 1997. Nashville, TN: Vanderbilt Univ. Press. 221--228 (1998; Zbl 0905.65015)
Phillips, George M. A de Casteljau algorithm for generalized Bernstein polynomials. (English) Zbl 0877.65007 BIT 37, No. 1, 232-236 (1997). Reviewer: W.Krabs (Darmstadt) MSC: 65D20 PDF BibTeX XML Cite \textit{G. M. Phillips}, BIT 37, No. 1, 232--236 (1997; Zbl 0877.65007) Full Text: DOI
Spitzmüller, Klaus Partial derivatives of Bézier surfaces. (English) Zbl 0841.65010 Comput.-Aided Des. 28, No. 1, 67-72 (1996). Reviewer: H.Guggenheimer (West Hempstead) MSC: 65D17 65D07 65D25 PDF BibTeX XML Cite \textit{K. Spitzmüller}, Comput.-Aided Des. 28, No. 1, 67--72 (1996; Zbl 0841.65010) Full Text: DOI
Carstensen, C.; Mühlbach, G.; Schmidt, G. De Casteljau’s algorithm is an extrapolation method. (English) Zbl 0875.68929 Comput. Aided Geom. Des. 12, No. 4, 371-380 (1995). MSC: 68U10 68U07 68W10 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Comput. Aided Geom. Des. 12, No. 4, 371--380 (1995; Zbl 0875.68929) Full Text: DOI
Eckgold, Frank Virtual Reality. Incl. 1 disk. (German) Zbl 0881.68120 Wiesbaden: Vieweg. viii, 407 p. (1995). Reviewer: H.Guggenheimer (West Hempstead) MSC: 68U05 68-01 68U10 PDF BibTeX XML Cite \textit{F. Eckgold}, Virtual Reality. Incl. 1 disk. Wiesbaden: Vieweg (1995; Zbl 0881.68120)
Zhang, Xiaopeng A uniformly stable method to evaluate all directional derivatives of a Bézier patch. (Chinese. English summary) Zbl 0847.68127 J. Northwest Univ., Nat. Sci. 25, No. 4, 293-296 (1995). MSC: 68U07 68U05 PDF BibTeX XML Cite \textit{X. Zhang}, J. Northwest Univ., Nat. Sci. Ed. 25, No. 4, 293--296 (1995; Zbl 0847.68127)
Mazure, Marie-Laurence Blossoming of Chebyshev splines. (English) Zbl 0835.65033 Dæhlen, Morten (ed.) et al., Mathematical methods for curves and surfaces. Papers from an international conference held June 16-21, 1994 in Ulvik, Norway. Nashville, TN: Vanderbilt University Press. 355-364 (1995). MSC: 65D17 65D07 PDF BibTeX XML Cite \textit{M.-L. Mazure}, in: Mathematical methods for curves and surfaces. Papers from an international conference held June 16-21, 1994 in Ulvik, Norway. Nashville, TN: Vanderbilt University Press. 355--364 (1995; Zbl 0835.65033)
Strøm, Kyrre \(B\)-slines with homogenized knots. (English) Zbl 0829.41011 Adv. Comput. Math. 3, No. 3, 291-308 (1995). MSC: 41A15 PDF BibTeX XML Cite \textit{K. Strøm}, Adv. Comput. Math. 3, No. 3, 291--308 (1995; Zbl 0829.41011) Full Text: DOI
Ke, Yinglin; Cheng, Yaodong; Zhou, Rurong A \(C^ 1\) construction of explicit triangular Bézier surface. (Chinese. English summary) Zbl 0838.65007 J. Zhejiang Univ., Nat. Sci. Ed. 29, No. 1, 43-52 (1995). Reviewer: Xiong Zhenxiang (Alhambra) MSC: 65D17 65D07 PDF BibTeX XML Cite \textit{Y. Ke} et al., J. Zhejiang Univ., Nat. Sci. Ed. 29, No. 1, 43--52 (1995; Zbl 0838.65007)
Micchelli, Charles A. Mathematical aspects of geometric modeling. (English) Zbl 0864.65008 CBMS-NSF Regional Conference Series in Applied Mathematics. 65. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. ix, 256 p. (1995). Reviewer: Allan Pinkus (MR 95i:65036) MSC: 65D17 65D18 68U05 65-02 65D07 PDF BibTeX XML Cite \textit{C. A. Micchelli}, Mathematical aspects of geometric modeling. Philadelphia, PA: SIAM (1995; Zbl 0864.65008)
Sederberg, Thomas W.; Wang, Guo-Jin A simple verification of the implicitization formulae for Bézier curves. (English) Zbl 0798.65020 Comput. Aided Geom. Des. 11, No. 2, 225-228 (1994). Reviewer: G.Walz (Mannheim) MSC: 65D17 PDF BibTeX XML Cite \textit{T. W. Sederberg} and \textit{G.-J. Wang}, Comput. Aided Geom. Des. 11, No. 2, 225--228 (1994; Zbl 0798.65020) Full Text: DOI
Qin, Kaihuai; Fan, Gang; Sun, Cai Extrapolating acceleration algorithms for finding \(B\)-spline intersections using recursive subdivision techniques. (English) Zbl 0802.65146 J. Comput. Sci. Technol. 9, No. 1, 70-85 (1994). Reviewer: H.Guggenheimer (West Hempstead) MSC: 65D18 51N05 68U05 PDF BibTeX XML Cite \textit{K. Qin} et al., J. Comput. Sci. Technol. 9, No. 1, 70--85 (1994; Zbl 0802.65146) Full Text: DOI
Bodduluri, R. M. C.; Ravani, B. Design of developable surfaces using duality between plane and point geometries. (English) Zbl 0802.65007 Comput.-Aided Des. 25, No. 10, 621-632 (1993). Reviewer: J.Prestin (Rostock) MSC: 65D17 PDF BibTeX XML Cite \textit{R. M. C. Bodduluri} and \textit{B. Ravani}, Comput.-Aided Des. 25, No. 10, 621--632 (1993; Zbl 0802.65007) 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
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
Mullineux, G. Triangular-patch spline surfaces with symmetric labels. (English) Zbl 0794.65014 Comput.-Aided Des. 24, No. 1, 56-62 (1992). MSC: 65D17 65D07 PDF BibTeX XML Cite \textit{G. Mullineux}, Comput.-Aided Des. 24, No. 1, 56--62 (1992; Zbl 0794.65014) Full Text: DOI
Lee, S. L.; Phillips, G. M. Construction of lattices for Lagrange interpolation in projective space. (English) Zbl 0733.41011 Constructive Approximation 7, No. 3, 283-297 (1991). Reviewer: J.Štulc (Praha) MSC: 41A05 41A10 41A63 PDF BibTeX XML Cite \textit{S. L. Lee} and \textit{G. M. Phillips}, Constr. Approx. 7, No. 3, 283--297 (1991; Zbl 0733.41011) Full Text: DOI
Lee, S. L.; Majid, A. A. Closed smooth piecewise bicubic surfaces. (English) Zbl 0737.68087 ACM Trans. Graph. 10, No. 4, 342-365 (1991). MSC: 68U07 68U05 65D17 65F15 65D05 PDF BibTeX XML Cite \textit{S. L. Lee} and \textit{A. A. Majid}, ACM Trans. Graph. 10, No. 4, 342--365 (1991; Zbl 0737.68087) 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
Farouki, R. T.; Neff, C. A. On the numerical condition of Bernstein-Bézier subdivision processes. (English) Zbl 0749.65008 Math. Comput. 55, No. 192, 637-647 (1990). MSC: 65D17 15A12 15B51 PDF BibTeX XML Cite \textit{R. T. Farouki} and \textit{C. A. Neff}, Math. Comput. 55, No. 192, 637--647 (1990; Zbl 0749.65008) Full Text: DOI
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
Daniel, M.; Daubisse, J. C. The numerical problem of using Bézier curves and surfaces in the power basis. (English) Zbl 0665.65013 Comput. Aided Geom. Des. 6, No. 2, 121-128 (1989). Reviewer: A.López-Carmona MSC: 65D15 PDF BibTeX XML Cite \textit{M. Daniel} and \textit{J. C. Daubisse}, Comput. Aided Geom. Des. 6, No. 2, 121--128 (1989; Zbl 0665.65013) Full Text: DOI
Barry, P. J.; Goldman, R. N. De Casteljau-type subdivision is peculiar to Bézier curves. (English) Zbl 0658.65012 Comput.-Aided Des. 20, No. 3, 114-116 (1988). Reviewer: P.I.Ialamov MSC: 65D15 65D10 PDF BibTeX XML Cite \textit{P. J. Barry} and \textit{R. N. Goldman}, Comput.-Aided Des. 20, No. 3, 114--116 (1988; Zbl 0658.65012) Full Text: DOI
Lee, S. L.; Phillips, G. M. Interpolation on the triangle. (English) Zbl 0626.65007 Commun. Appl. Numer. Methods 3, 271-276 (1987). Reviewer: H.P.Dikshit MSC: 65D05 41A10 41A05 41A63 PDF BibTeX XML Cite \textit{S. L. Lee} and \textit{G. M. Phillips}, Commun. Appl. Numer. Methods 3, 271--276 (1987; Zbl 0626.65007) Full Text: DOI
Schumaker, Larry L.; Volk, Wolfgang Efficient evaluation of multivariate polynomials. (English) Zbl 0606.65007 Comput. Aided Geom. Des. 3, 149-154 (1986). Reviewer: A.López-Carmona MSC: 65D10 41A10 65D20 41A63 PDF BibTeX XML Cite \textit{L. L. Schumaker} and \textit{W. Volk}, Comput. Aided Geom. Des. 3, 149--154 (1986; Zbl 0606.65007) Full Text: DOI
Chang, Gengzhe; Su, Buchin Families of adjoint patches for a Bézier triangular surface. (English) Zbl 0597.65002 Comput. Aided Geom. Des. 2, 37-42 (1985). Reviewer: G.Farin MSC: 65D07 41A15 41A63 PDF BibTeX XML Cite \textit{G. Chang} and \textit{B. Su}, Comput. Aided Geom. Des. 2, 37--42 (1985; Zbl 0597.65002) Full Text: DOI
Lasser, Dieter Bernstein-Bézier representation of volumes. (English) Zbl 0577.65127 Comput. Aided Geom. Des. 2, 145-149 (1985). Reviewer: A.López-Carmona MSC: 65S05 65D05 65D10 PDF BibTeX XML Cite \textit{D. Lasser}, Comput. Aided Geom. Des. 2, 145--149 (1985; Zbl 0577.65127) Full Text: DOI