Charina, Maria; Conti, Costanza; Dyn, Nira Multivariate compactly supported \(C^\infty\) functions by subdivision. (English) Zbl 07811903 Appl. Comput. Harmon. Anal. 70, Article ID 101630, 13 p. (2024). MSC: 65-XX 41-XX PDFBibTeX XMLCite \textit{M. Charina} et al., Appl. Comput. Harmon. Anal. 70, Article ID 101630, 13 p. (2024; Zbl 07811903) Full Text: DOI arXiv
Jena, Hrushikesh; Jena, Mahendra Kumar An introduction to a hybrid trigonometric box spline surface producing subdivision scheme. (English) Zbl 07785642 Numer. Algorithms 95, No. 1, 73-116 (2024). Reviewer: Manfred Tasche (Rostock) MSC: 65D07 65D17 PDFBibTeX XMLCite \textit{H. Jena} and \textit{M. K. Jena}, Numer. Algorithms 95, No. 1, 73--116 (2024; Zbl 07785642) Full Text: DOI
Fakhar, R.; Lamnii, A.; Nour, M.-Y.; Zidna, A. Mixed hyperbolic/trigonometric non-stationary subdivision scheme. (English) Zbl 1496.65018 Math. Sci., Springer 16, No. 2, 149-162 (2022). MSC: 65D10 65D17 PDFBibTeX XMLCite \textit{R. Fakhar} et al., Math. Sci., Springer 16, No. 2, 149--162 (2022; Zbl 1496.65018) Full Text: DOI
Yang, Hyoseon; Yoon, Jungho A shape preserving \(C^2\) non-linear, non-uniform, subdivision scheme with fourth-order accuracy. (English) Zbl 1512.41004 Appl. Comput. Harmon. Anal. 60, 267-292 (2022). MSC: 41A05 41A29 65D05 65D10 65D17 PDFBibTeX XMLCite \textit{H. Yang} and \textit{J. Yoon}, Appl. Comput. Harmon. Anal. 60, 267--292 (2022; Zbl 1512.41004) Full Text: DOI
Fakhar, R.; Lamnii, A.; Nour, M. Y.; Zidna, A. Mixed trigonometric and hyperbolic subdivision scheme with two tension and one shape parameters. (English) Zbl 1499.65055 Int. J. Comput. Math. 99, No. 4, 665-679 (2022). MSC: 65D17 41A15 42A10 65D10 PDFBibTeX XMLCite \textit{R. Fakhar} et al., Int. J. Comput. Math. 99, No. 4, 665--679 (2022; Zbl 1499.65055) Full Text: DOI
Jena, Hrushikesh; Kumar Jena, Mahendra On defining trigonometric box spline-like surface on type-I triangulation. (English) Zbl 1477.65032 Singh, Jagdev (ed.) et al., Methods of mathematical modelling and computation for complex systems. Cham: Springer. Stud. Syst. Decis. Control 373, 253-273 (2022). MSC: 65D07 65D17 PDFBibTeX XMLCite \textit{H. Jena} and \textit{M. Kumar Jena}, Stud. Syst. Decis. Control 373, 253--273 (2022; Zbl 1477.65032) Full Text: DOI
Jena, Hrushikesh; Jena, Mahendra Kumar A new non-stationary tangent plane continuous subdivision scheme for arbitrary triangulations. (English) Zbl 1524.65068 Indian J. Math. 63, No. 2, 159-188 (2021). MSC: 65D07 65D17 PDFBibTeX XMLCite \textit{H. Jena} and \textit{M. K. Jena}, Indian J. Math. 63, No. 2, 159--188 (2021; Zbl 1524.65068)
Jena, Hrushikesh; Jena, Mahendra Kumar Construction of trigonometric box splines and the associated non-stationary subdivision schemes. (English) Zbl 1499.65042 Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 129, 27 p. (2021). MSC: 65D07 65D17 PDFBibTeX XMLCite \textit{H. Jena} and \textit{M. K. Jena}, Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 129, 27 p. (2021; Zbl 1499.65042) Full Text: DOI
Conti, Costanza; Dyn, Nira Non-stationary subdivision schemes: state of the art and perspectives. (English) Zbl 1477.65027 Fasshauer, Gregory E. (ed.) et al., Approximation theory XVI. Proceedings of the international conference, Nashville, TN, USA, May 19–22, 2019. Cham: Springer. Springer Proc. Math. Stat. 336, 39-71 (2021). MSC: 65D05 65D17 PDFBibTeX XMLCite \textit{C. Conti} and \textit{N. Dyn}, Springer Proc. Math. Stat. 336, 39--71 (2021; Zbl 1477.65027) Full Text: DOI Link
Zhang, Zeze; Zheng, Hongchan; Song, Weijie; Zhang, Baoxing A non-stationary combined ternary 5-point subdivision scheme with \(C^4\) continuity. (English) Zbl 1467.65016 Taiwanese J. Math. 24, No. 5, 1259-1281 (2020). MSC: 65D17 39B12 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Taiwanese J. Math. 24, No. 5, 1259--1281 (2020; Zbl 1467.65016) Full Text: DOI Euclid
Jeong, Byeongseon; Yoon, Jungho A new family of non-stationary Hermite subdivision schemes reproducing exponential polynomials. (English) Zbl 1433.65024 Appl. Math. Comput. 366, Article ID 124763, 17 p. (2020). MSC: 65D18 65D17 PDFBibTeX XMLCite \textit{B. Jeong} and \textit{J. Yoon}, Appl. Math. Comput. 366, Article ID 124763, 17 p. (2020; Zbl 1433.65024) Full Text: DOI
Siddiqi, Shahid S.; Younis, Muhammad Binary 4-point \(C^4\) non-stationary subdivision scheme for geometric modelling. (English) Zbl 1433.42001 Appl. Comput. Math. 18, No. 3, 236-246 (2019). MSC: 42A10 65D17 68U07 41A15 PDFBibTeX XMLCite \textit{S. S. Siddiqi} and \textit{M. Younis}, Appl. Comput. Math. 18, No. 3, 236--246 (2019; Zbl 1433.42001) Full Text: Link
Bibi, Khalida; Akram, Ghazala; Rehan, Kashif Level set shape analysis of binary 4-point non-stationary interpolating subdivision scheme. (English) Zbl 1454.65009 Int. J. Appl. Comput. Math. 5, No. 6, Paper No. 146, 15 p. (2019). MSC: 65D05 PDFBibTeX XMLCite \textit{K. Bibi} et al., Int. J. Appl. Comput. Math. 5, No. 6, Paper No. 146, 15 p. (2019; Zbl 1454.65009) Full Text: DOI
Zheng, Hongchan; Zhang, Baoxing A non-stationary combined subdivision scheme generating exponential polynomials. (English) Zbl 1426.65030 Appl. Math. Comput. 313, 209-221 (2017). MSC: 65D17 65D05 PDFBibTeX XMLCite \textit{H. Zheng} and \textit{B. Zhang}, Appl. Math. Comput. 313, 209--221 (2017; Zbl 1426.65030) Full Text: DOI
Zhang, Li; Sun, Yan; Tan, Jieqing; Shi, Jun A new family of \(\left({2n - 1} \right)\)-point binary non-stationary approximating subdivision schemes. (Chinese. English summary) Zbl 1399.65092 Math. Numer. Sin. 39, No. 1, 59-69 (2017). MSC: 65D18 PDFBibTeX XMLCite \textit{L. Zhang} et al., Math. Numer. Sin. 39, No. 1, 59--69 (2017; Zbl 1399.65092)
Akram, Ghazala; Bibi, Khalida; Rehan, Kashif; Siddiqi, Shahid S. Shape preservation of 4-point interpolating non-stationary subdivision scheme. (English) Zbl 1360.65057 J. Comput. Appl. Math. 319, 480-492 (2017). MSC: 65D17 PDFBibTeX XMLCite \textit{G. Akram} et al., J. Comput. Appl. Math. 319, 480--492 (2017; Zbl 1360.65057) Full Text: DOI
Siddiqi, Shahid S.; Salam, Wardat us; Rehan, Kashif Construction of binary four and five point non-stationary subdivision schemes from hyperbolic B-splines. (English) Zbl 1410.65054 Appl. Math. Comput. 280, 30-38 (2016). MSC: 65D17 42C15 65D07 PDFBibTeX XMLCite \textit{S. S. Siddiqi} et al., Appl. Math. Comput. 280, 30--38 (2016; Zbl 1410.65054) Full Text: DOI
Tan, Jieqing; Sun, Jiaze; Tong, Guangyue A non-stationary binary three-point approximating subdivision scheme. (English) Zbl 1410.65056 Appl. Math. Comput. 276, 37-43 (2016). MSC: 65D17 65D05 PDFBibTeX XMLCite \textit{J. Tan} et al., Appl. Math. Comput. 276, 37--43 (2016; Zbl 1410.65056) Full Text: DOI
Novara, Paola; Romani, Lucia; Yoon, Jungho Improving smoothness and accuracy of modified butterfly subdivision scheme. (English) Zbl 1410.65049 Appl. Math. Comput. 272, Part 1, 64-79 (2016). MSC: 65D17 65D10 68U05 PDFBibTeX XMLCite \textit{P. Novara} et al., Appl. Math. Comput. 272, Part 1, 64--79 (2016; Zbl 1410.65049) Full Text: DOI
Charina, Maria; Conti, Costanza; Guglielmi, Nicola; Protasov, Vladimir Limits of level and parameter dependent subdivision schemes: a matrix approach. (English) Zbl 1410.65045 Appl. Math. Comput. 272, Part 1, 20-27 (2016). MSC: 65D17 PDFBibTeX XMLCite \textit{M. Charina} et al., Appl. Math. Comput. 272, Part 1, 20--27 (2016; Zbl 1410.65045) Full Text: DOI arXiv Link
Siddiqi, Shahid S.; Salam, Wardat us; Rehan, Kashif Hyperbolic forms of ternary non-stationary subdivision schemes originated from hyperbolic B-splines. (English) Zbl 1382.65039 J. Comput. Appl. Math. 301, 16-27 (2016). MSC: 65D07 65D17 PDFBibTeX XMLCite \textit{S. S. Siddiqi} et al., J. Comput. Appl. Math. 301, 16--27 (2016; Zbl 1382.65039) Full Text: DOI
Siddiqi, Shahid S.; Salam, Wardat us; Rehan, Kashif A new non-stationary binary 6-point subdivision scheme. (English) Zbl 1410.65053 Appl. Math. Comput. 268, 1227-1239 (2015). MSC: 65D17 65D05 PDFBibTeX XMLCite \textit{S. S. Siddiqi} et al., Appl. Math. Comput. 268, 1227--1239 (2015; Zbl 1410.65053) Full Text: DOI
Conti, Constanza; Dyn, N.; Manni, C.; Mazure, Marie-Laurence Convergence of univariate non-stationary subdivision schemes via asymptotic similarity. (English) Zbl 1417.65104 Comput. Aided Geom. Des. 37, 1-8 (2015). MSC: 65D18 65D05 65D17 PDFBibTeX XMLCite \textit{C. Conti} et al., Comput. Aided Geom. Des. 37, 1--8 (2015; Zbl 1417.65104) Full Text: DOI arXiv Link
Siddiqi, Shahid S.; us Salam, Wardat; Rehan, Kashif Binary 3-point and 4-point non-stationary subdivision schemes using hyperbolic function. (English) Zbl 1338.65053 Appl. Math. Comput. 258, 120-129 (2015). MSC: 65D17 PDFBibTeX XMLCite \textit{S. S. Siddiqi} et al., Appl. Math. Comput. 258, 120--129 (2015; Zbl 1338.65053) Full Text: DOI
Mustafa, Ghulam; Bari, Mehwish A new class of odd-point ternary non-stationary approximating schemes. (English) Zbl 1320.65030 S\(\vec{\text{e}}\)MA J. 68, No. 1, 29-51 (2015). MSC: 65D17 PDFBibTeX XMLCite \textit{G. Mustafa} and \textit{M. Bari}, S\(\vec{\text{e}}\)MA J. 68, No. 1, 29--51 (2015; Zbl 1320.65030) Full Text: DOI
Novara, Paola; Romani, Lucia Building blocks for designing arbitrarily smooth subdivision schemes with conic precision. (English) Zbl 1307.65016 J. Comput. Appl. Math. 279, 67-79 (2015). MSC: 65D05 PDFBibTeX XMLCite \textit{P. Novara} and \textit{L. Romani}, J. Comput. Appl. Math. 279, 67--79 (2015; Zbl 1307.65016) Full Text: DOI
Siddiqi, S. S.; Younis, M. A symmetric \(C^{3}\) non-stationary subdivision scheme. (English) Zbl 1294.41005 LMS J. Comput. Math. 17, 259-272 (2014). MSC: 41A15 65D07 65D17 68U07 PDFBibTeX XMLCite \textit{S. S. Siddiqi} and \textit{M. Younis}, LMS J. Comput. Math. 17, 259--272 (2014; Zbl 1294.41005) Full Text: DOI
Dyn, Nira; Kounchev, Ognyan; Levin, David; Render, Hermann Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters. (English) Zbl 1294.42007 Appl. Comput. Harmon. Anal. 37, No. 2, 288-306 (2014). MSC: 42C40 PDFBibTeX XMLCite \textit{N. Dyn} et al., Appl. Comput. Harmon. Anal. 37, No. 2, 288--306 (2014; Zbl 1294.42007) Full Text: DOI arXiv
Li, Bao-jun; Yu, Zhi-ling; Yu, Bo-wen; Su, Zhi-xun; Liu, Xiu-ping Non-stationary subdivision for exponential polynomials reproduction. (English) Zbl 1280.65025 Acta Math. Appl. Sin., Engl. Ser. 29, No. 3, 567-578 (2013). Reviewer: H. P. Dikshit (Bhopal) MSC: 65D18 PDFBibTeX XMLCite \textit{B.-j. Li} et al., Acta Math. Appl. Sin., Engl. Ser. 29, No. 3, 567--578 (2013; Zbl 1280.65025) Full Text: DOI
Jeong, Byeongseon; Kim, Hong Oh; Lee, Yeon Ju; Yoon, Jungho Exponential polynomial reproducing property of non-stationary symmetric subdivision schemes and normalized exponential B-splines. (English) Zbl 1264.41013 Adv. Comput. Math. 38, No. 3, 647-666 (2013). MSC: 41A15 PDFBibTeX XMLCite \textit{B. Jeong} et al., Adv. Comput. Math. 38, No. 3, 647--666 (2013; Zbl 1264.41013) Full Text: DOI
Jeong, Byeongseon; Lee, Yeon Ju; Yoon, Jungho A family of non-stationary subdivision schemes reproducing exponential polynomials. (English) Zbl 1267.65017 J. Math. Anal. Appl. 402, No. 1, 207-219 (2013). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65D17 65D07 PDFBibTeX XMLCite \textit{B. Jeong} et al., J. Math. Anal. Appl. 402, No. 1, 207--219 (2013; Zbl 1267.65017) Full Text: DOI
Sharon, Nir; Dyn, Nira Bivariate interpolation based on univariate subdivision schemes. (English) Zbl 1248.41011 J. Approx. Theory 164, No. 5, 709-730 (2012). Reviewer: Costica Mustăţa (Cluj-Napoca) MSC: 41A05 PDFBibTeX XMLCite \textit{N. Sharon} and \textit{N. Dyn}, J. Approx. Theory 164, No. 5, 709--730 (2012; Zbl 1248.41011) Full Text: DOI arXiv
Karčiauskas, Kȩstutis; Peters, Jörg Curvature of approximating curve subdivision schemes. (English) Zbl 1352.65057 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, 369-381 (2012). MSC: 65D17 65D18 PDFBibTeX XMLCite \textit{K. Karčiauskas} and \textit{J. Peters}, Lect. Notes Comput. Sci. 6920, 369--381 (2012; Zbl 1352.65057) Full Text: DOI
Conti, Costanza; Romani, Lucia Algebraic conditions on non-stationary subdivision symbols for exponential polynomial reproduction. (English) Zbl 1232.65035 J. Comput. Appl. Math. 236, No. 4, 543-556 (2011). Reviewer: Francesc Arandiga Llaudes (Burjassot) MSC: 65D18 PDFBibTeX XMLCite \textit{C. Conti} and \textit{L. Romani}, J. Comput. Appl. Math. 236, No. 4, 543--556 (2011; Zbl 1232.65035) Full Text: DOI arXiv
Conti, Costanza Stationary and nonstationary affine combination of subdivision masks. (English) Zbl 1213.65031 Math. Comput. Simul. 81, No. 3, 623-635 (2010). Reviewer: Yanlai Chen (North Dartmouth) MSC: 65D18 65D17 PDFBibTeX XMLCite \textit{C. Conti}, Math. Comput. Simul. 81, No. 3, 623--635 (2010; Zbl 1213.65031) Full Text: DOI
Conti, Costanza; Romani, Lucia Affine combination of B-spline subdivision masks and its non-stationary counterparts. (English) Zbl 1202.65026 BIT 50, No. 2, 269-299 (2010). Reviewer: Jason Hanson (Redmond) MSC: 65D18 65D07 65D05 PDFBibTeX XMLCite \textit{C. Conti} and \textit{L. Romani}, BIT 50, No. 2, 269--299 (2010; Zbl 1202.65026) 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 PDFBibTeX XMLCite \textit{P. Costantini} and \textit{C. Manni}, Numer. Math. 115, No. 3, 333--369 (2010; Zbl 1198.65043) Full Text: DOI
Lee, Yeon Ju; Yoon, Jungho Non-stationary subdivision schemes for surface interpolation based on exponential polynomials. (English) Zbl 1195.65015 Appl. Numer. Math. 60, No. 1-2, 130-141 (2010). Reviewer: Juan Monterde (Burjasot) MSC: 65D17 65D10 PDFBibTeX XMLCite \textit{Y. J. Lee} and \textit{J. Yoon}, Appl. Numer. Math. 60, No. 1--2, 130--141 (2010; Zbl 1195.65015) Full Text: DOI
Daniel, Sunita; Shunmugaraj, P. An approximating \(C^{2}\) non-stationary subdivision scheme. (English) Zbl 1205.65076 Comput. Aided Geom. Des. 26, No. 7, 810-821 (2009). MSC: 65D17 PDFBibTeX XMLCite \textit{S. Daniel} and \textit{P. Shunmugaraj}, Comput. Aided Geom. Des. 26, No. 7, 810--821 (2009; Zbl 1205.65076) Full Text: DOI
Sabin, Malcolm Two open questions relating to subdivision. (English) Zbl 1176.65014 Computing 86, No. 2-3, 213-217 (2009). MSC: 65D17 PDFBibTeX XMLCite \textit{M. Sabin}, Computing 86, No. 2--3, 213--217 (2009; Zbl 1176.65014) Full Text: DOI
Beccari, C.; Casciola, G.; Romani, L. Shape controlled interpolatory ternary subdivision. (English) Zbl 1179.65023 Appl. Math. Comput. 215, No. 3, 916-927 (2009). Reviewer: Juan Monterde (Burjasot) MSC: 65D18 65D05 PDFBibTeX XMLCite \textit{C. Beccari} et al., Appl. Math. Comput. 215, No. 3, 916--927 (2009; Zbl 1179.65023) Full Text: DOI
Daniel, Sunita; Shunmugaraj, P. An interpolating 6-point \(C^2\) non-stationary subdivision scheme. (English) Zbl 1171.65010 J. Comput. Appl. Math. 230, No. 1, 164-172 (2009). Reviewer: Ivana Linkeová (Praha) MSC: 65D18 65D17 68U05 65D05 PDFBibTeX XMLCite \textit{S. Daniel} and \textit{P. Shunmugaraj}, J. Comput. Appl. Math. 230, No. 1, 164--172 (2009; Zbl 1171.65010) Full Text: DOI
Charina, Maria; Conti, Costanza Convergence of multivariate non-stationary vector subdivision schemes. (English) Zbl 1059.65019 Appl. Numer. Math. 49, No. 3-4, 343-354 (2004). Reviewer: H. P. Dikshit (New Delhi) MSC: 65D18 PDFBibTeX XMLCite \textit{M. Charina} and \textit{C. Conti}, Appl. Numer. Math. 49, No. 3--4, 343--354 (2004; Zbl 1059.65019) Full Text: DOI
Jena, M. K.; Shunmugaraj, P.; Das, P. C. A non-stationary subdivision scheme for curve interpolation. (English) Zbl 1078.65528 ANZIAM J. 44E(2002-2003), E216-E235 (2003). MSC: 65D05 65D18 PDFBibTeX XMLCite \textit{M. K. Jena} et al., ANZIAM J. 44E, E216--E235 (2003; Zbl 1078.65528)
Dyn, Nira; Levin, David Analysis of asymptotically equivalent binary subdivision schemes. (English) Zbl 0836.65012 J. Math. Anal. Appl. 193, No. 2, 594-621 (1995). Reviewer: M.Gaşpar (Iaşi) MSC: 65D17 PDFBibTeX XMLCite \textit{N. Dyn} and \textit{D. Levin}, J. Math. Anal. Appl. 193, No. 2, 594--621 (1995; Zbl 0836.65012) Full Text: DOI
Buhmann, Martin D.; Micchelli, Charles A. Using two-slanted matrices for subdivision. (English) Zbl 0802.65003 Proc. Lond. Math. Soc., III. Ser. 69, No. 2, 428-448 (1994). Reviewer: M.Buhmann MSC: 65D17 PDFBibTeX XMLCite \textit{M. D. Buhmann} and \textit{C. A. Micchelli}, Proc. Lond. Math. Soc. (3) 69, No. 2, 428--448 (1994; Zbl 0802.65003) Full Text: DOI