Özkaraca, Mustafa İsmail Planar substitutions to Lebesgue type space-filling curves and relatively dense fractal-like sets in the plane. (English) Zbl 07762424 J. Math. Anal. Appl. 530, No. 2, Article ID 127654, 25 p. (2024). MSC: 28A80 26Axx 54Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Humke, Paul D.; Huynh, Khang V.; Vo, Thong H. Efficiently filling space. (English) Zbl 1530.26001 Rocky Mt. J. Math. 53, No. 2, 477-484 (2023). Reviewer: Władysław Wilczyński (Łódź) MSC: 26A03 × Cite Format Result Cite Review PDF Full Text: DOI Link
Humke, P. D.; Huynh, K. V. Finding keys to the Peano curve. (English) Zbl 1513.26001 Acta Math. Hung. 167, No. 1, 255-277 (2022). Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 26A03 × Cite Format Result Cite Review PDF Full Text: DOI
Ciesielski, Krzysztof Chris Continuous maps admitting no tangent lines: a centennial of Besicovitch functions. (English) Zbl 1495.26010 Am. Math. Mon. 129, No. 7, 647-659 (2022). Reviewer: Peter Massopust (München) MSC: 26A27 26A24 26A30 × Cite Format Result Cite Review PDF Full Text: DOI
Ceterchi, Rodica; Zhang, Luping; Subramanian, K. G.; Zhang, Gexiang Hilbert words as arrays generated with P systems. (English) Zbl 1490.68097 J. Membr. Comput. 3, No. 3, 163-169 (2021). MSC: 68Q07 68Q42 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Flaten, Sonya; Humke, Paul D.; Olson, Emily; Vo, Thong Delicate details of filling space. (English) Zbl 1458.26005 Am. Math. Mon. 128, No. 2, 99-114 (2021). Reviewer: Sorin Gheorghe Gal (Oradea) MSC: 26A03 × Cite Format Result Cite Review PDF Full Text: DOI
Ceterchi, Rodica; Subramanian, K. G. Generating pictures in string representation with P systems: the case of space-filling curves. (English) Zbl 1469.68028 J. Membr. Comput. 2, No. 4, 369-379 (2020). MSC: 68Q07 68Q42 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Guangjun; Yang, Xiaoling; Wang, Ping Arithmetic-analytic representation of Peano curve. (English) Zbl 1486.26004 Int. J. Math. Math. Sci. 2019, Article ID 6745202, 7 p. (2019). MSC: 26A16 28A80 26D15 28A12 26A30 × Cite Format Result Cite Review PDF Full Text: DOI
de Freitas, Joaquim E.; de Lima, Ronaldo F.; dos Santos, Daniel T. The \(n\)-dimensional Peano curve. (English) Zbl 1434.28016 São Paulo J. Math. Sci. 13, No. 2, 678-688 (2019). MSC: 28A80 26A16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cellucci, Carlo Definition in mathematics. (English) Zbl 1428.00012 Eur. J. Philos. Sci. 8, No. 3, 605-629 (2018). MSC: 00A30 00A35 × Cite Format Result Cite Review PDF Full Text: DOI
Lian, Huijuan; Qiu, Weidong; Yan, Di; Huang, Zheng; Guo, Jie Efficient privacy-preserving protocol for \(k\)-NN search over encrypted data in location-based service. (English) Zbl 1380.90080 Complexity 2017, Article ID 1490283, 14 p. (2017). MSC: 90B18 68M12 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xiaoling; Tan, Ying An arithmetic-analytical expression of the Hilbert-type space-filling curves and its applications. (English) Zbl 1316.28012 Bull. Malays. Math. Sci. Soc. (2) 38, No. 2, 841-854 (2015). MSC: 28A80 54F50 × Cite Format Result Cite Review PDF Full Text: DOI
Pérez-Demydenko, C.; Brito-Reyes, I.; Aragón Fernández, B.; Estevez-Rams, E. The complete set of homogeneous Hilbert curves in two dimensions. (English) Zbl 1302.28019 Appl. Math. Comput. 234, 531-542 (2014). MSC: 28A80 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skublska-Rafajłowicz, Ewa; Rafajłowicz, Ewaryst Sampling multidimensional signals by a new class of quasi-random sequences. (English) Zbl 1255.93084 Multidimensional Syst. Signal Process. 23, No. 1-2, 237-253 (2012). MSC: 93C57 94A12 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Haverkort, Herman; Van Walderveen, Freek Locality and bounding-box quality of two-dimensional space-filling curves. (English) Zbl 1203.65045 Comput. Geom. 43, No. 2, 131-147 (2010). Reviewer: Juan Rafael Sendra (Alcalá de Henares) MSC: 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Jaffard, S.; Nicolay, S. Pointwise smoothness of space-filling functions. (English) Zbl 1173.26002 Appl. Comput. Harmon. Anal. 26, No. 2, 181-199 (2009). Reviewer: Tian You Hu (Green Bay) MSC: 26A16 26A15 28A80 × Cite Format Result Cite Review PDF Full Text: DOI Link
Allaart, Pieter C.; Kawamura, Kiko Dimensions of the coordinate functions of space-filling curves. (English) Zbl 1125.54017 J. Math. Anal. Appl. 335, No. 2, 1161-1176 (2007). Reviewer: Luis Felipe Tabera (Barcelona) MSC: 54F45 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Chung, Kuo-Liang; Huang, Yi-Luen; Liu, Yau-Wen Efficient algorithms for coding Hilbert curve of arbitrary-sized image and application to window query. (English) Zbl 1111.94001 Inf. Sci. 177, No. 10, 2130-2151 (2007). MSC: 94A08 68U10 × Cite Format Result Cite Review PDF Full Text: DOI
Skubalska-Rafajłowicz, Ewa A new method of estimation of the box-counting dimension of multivariate objects using space-filling curves. (English) Zbl 1221.62088 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, e1281-e1287 (2005). MSC: 62H12 62F10 62H99 × Cite Format Result Cite Review PDF Full Text: DOI
Okamoto, Hisashi A remark on continuous, nowhere differentiable functions. (English) Zbl 1083.26004 Proc. Japan Acad., Ser. A 81, No. 3, 47-50 (2005). MSC: 26A27 26A30 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Liu, Xian Four alternative patterns of the Hilbert curve. (English) Zbl 1033.28003 Appl. Math. Comput. 147, No. 3, 741-752 (2004). MSC: 28A80 26A30 65D17 × Cite Format Result Cite Review PDF Full Text: DOI
Skubalska-Rafajłowicz, Ewa Applications of the space – filling curves with data driven measure – preserving property. (English) Zbl 0887.68118 Nonlinear Anal., Theory Methods Appl. 30, No. 3, 1305-1310 (1997). MSC: 68U10 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Sagan, Hans A geometrization of Lebesgue’s space-filling curve. (English) Zbl 0795.54022 Math. Intell. 15, No. 4, 37-43 (1993). Reviewer: O.T.Alas (São Paulo) MSC: 54C10 × Cite Format Result Cite Review PDF Full Text: DOI
Sagan, Hans Some reflections on the emergence of space-filling curves: The way it could have happened and should have happened, but did not happen. (English) Zbl 0736.01002 J. Franklin Inst. 328, No. 4, 419-430 (1991). Reviewer: M.von Renteln (Karlsruhe) MSC: 01A60 × Cite Format Result Cite Review PDF Full Text: DOI
Chabert, Jean-Luc Un demi-siècle de fractales: 1870-1920. (Half-a-century of fractals: 1870-1920). (French) Zbl 0716.01019 Hist. Math. 17, No. 4, 339-365 (1990). Reviewer: D.Laugwitz MSC: 01A60 26-03 30-03 × Cite Format Result Cite Review PDF Full Text: DOI
Kôno, Norio On self-affine functions. (English) Zbl 0646.28004 Japan J. Appl. Math. 3, 259-269 (1986). Reviewer: F.M.Dekking MSC: 28A75 × Cite Format Result Cite Review PDF Full Text: DOI
Hata, Masayoshi On the structure of self-similar sets. (English) Zbl 0608.28003 Japan J. Appl. Math. 2, 381-414 (1985). Reviewer: F.M.Dekking MSC: 28A75 26A30 54F99 58C30 × Cite Format Result Cite Review PDF Full Text: DOI
Milne, Stephen C. Peano curves and smoothness of functions. (English) Zbl 0449.26015 Adv. Math. 35, 129-157 (1980). MSC: 26D15 28D05 28A99 × Cite Format Result Cite Review PDF Full Text: DOI
Johnson, Dale M. The problem of the invariance of dimension in the growth of modern topology, part I. (English) Zbl 0424.54020 Arch. Hist. Exact Sci. 20, 97-188 (1979). MSC: 54F45 54-03 01A55 × Cite Format Result Cite Review PDF Full Text: DOI