[1] ZHANG J, ZHANG K, PENG R, et al. Computer-aided generation of mandala Thangka patterns[C]//International Symposium on Visual Information Communication & Interaction. New York:ACM, 2017:93-100. [2] 张庆. 敦煌图像中服用龟背纹探微[D]. 北京:北京服装学院, 2017. ZHANG Q. The study on the tortoiseshell pattern clothing of Dunhuang images[D]. Beijing:Beijing Institute of Clothing Technology, 2017. [3] MOECK P. On classification approaches for crystallographic symmetries of noisy 2D periodic patterns[J]. IEEE Transactions on Nanotechnology, 2019, 18(3):1166-1173. [4] ESTRADA E. Integer-digit functions:an example of math-art integration[J]. The Mathematical Intelligencer, 2018, 40(1):73-78. [5] JUSUF V, ELLIOTT R S. A framework for the interpretation of modulated martensites in shape memory alloys[J]. Journal of the Mechanics and Physics of Solids, 2020, 138(1):1-24. [6] ABAS S J, SALMAN A. Geometric and group-theoretic methods for computer graphic studies of Islamic symmetric patterns[J]. Computer Graphics Forum, 1992, 11(1):43-53. [7] ALBERT F, GÓMIS J M, BLASCO J, et al. A new method to analyse mosaics based on symmetry group theory applied to Islamic geometric patterns[J]. Computer Vision and Image Understanding, 2015, 130:54-70. [8] KAPLAN C S, SALESIN D H. Islamic star patterns in absolute geometry[J]. ACM Transactions on Graphics, 2004, 23(2):97-119. [9] OSTROMOUKHOV V. Mathematical tools for computer-generated ornamental patterns[M]//Electronic Publishing, Artistic Imaging, and Digital Typography. Berlin:Springer, 1998:193-223. [10] KAPLAN C S. Islamic star patterns from polygons in contact[C]//Proceedings of Graphics Interface 2005. New York:ACM, 2005:177-185. [11] ULU E, SENER S. A shape grammar model to generate Islamic geometric pattern[C]//Proceedings of 12th Generative Art Conference GA2009:Association for Computing Machinery. New York:ACM, 2009:93-100. [12] SAYED Z, UGAIL H, PALMER I, et al. Parameterized shape grammar for generating n-fold Islamic geometric motifs[C]//2015 International Conference on Cyberworlds (CW). Piscataway, NJ:IEEE Press, 2015:79-85. [13] CENANI S, CAGDAS G. A shape grammar study:form generation with geometric Islamic patterns[EB/OL].(2007-04-04)[2021-06-01]. https://www.researchgate.net/publication/350617892. [14] SAYED Z, UGAIL H, PALMER I, et al. Auto-parameterized shape grammar for constructing Islamic geometric motif-based structures[M]//Lecture Notes in Computer Science. Berlin:Springer, 2016:146-162. [15] 李园, 王化雨, 崔嘉. 基于形状文法的伊斯兰图案生成研究[J]. 计算机与数字工程, 2016, 44(9):1806-1811. LI Y, WANG H Y, CUI J. Islamic pattern generate based on shape grammar[J]. Computer & Digital Engineering, 2016, 44(9):1806-1811. [16] GULATI V, TANDON P, SINGH H. A CAD paradigm to produce Zillij style of geometrical patterns for wooden carvings[J]. International Journal of Computer Applications, 2010, 3(3):36-39. [17] KHOUR I, NOOR K. Structural grid shell design with Islamic pattern topologies[D]. Boston:Massachusetts Institute of Technology, 2017. [18] RAGHAVACHARY S. Tile-based Kolam patterns[C]//SIGGRAPH'04:ACM SIGGRAPH 2004 Sketches. New York:ACM, 2004:1-58. [19] SUBRAMANIAN K G, SARAVANAN R, ROBINSON T. P systems for array generation and application to Kolam patterns[J]. Forma, 2006, 22(1):47-54. [20] WARING T M. Sequential encoding of Tamil Kolam patterns[J]. Forma, 2012, 27(3):83-92. |