Modeling of curves by a design-control approximating refinement scheme

References

• Amat, S., Ruiz, J., & Trillo, C. (2018). Analysis of the Gibbs phenomenon in stationary subdivision scheme. Applied Mathematics Letters, 76, 157–163. doi:10.1016/j.aml.2017.08.014
   Web of Science ®Google Scholar
• Asghar, M., & Mustafa, G. (2019). A family of binary approximating subdivision schemes based on binomial distribution. Mehran University Research Journal of Engineering & Technology, 38(4), 1087–1100. doi:10.22581/muet1982.1904.20
   Web of Science ®Google Scholar
• Daniel, S., & Shunmugaraj, P. (2010). An extended three point approximating subdivision scheme, 2010 International Conference On Computer Design and Applications, Qinhuangdao, China, 2, 73–77.
   Google Scholar
• Deslauriers, G., & Dubuc, S. (1989). Symmetric iterative interpolation processes. Constructive Approximation, 5(1), 49–68. doi:10.1007/BF01889598
   Web of Science ®Google Scholar
• Doo, D., & Sabin, M. A. (1978). Behaviour of recursive division surfaces near extraordinary points. Computer Aided Geometric Design, 10(6), 356–360. doi:10.1016/0010-4485(78)90111-2
   Google Scholar
• Dyn, N., & Levin, D. (2002). Subdivision schemes in geometric modelling. Acta Numerica, 11, 73–144. doi:10.1017/S0962492902000028
   Google Scholar
• Garg, A. (2020). Interactive, computation assisted design tools. Columbia University ProQuest Dissertations Publishing. 28026539.
   Google Scholar
• Hameed, R., & Mustafa, G. (2017). Family of a-point b-ary subdivision schemes with bell-shaped mask. Applied Mathematics and Computation, 309, 289–302. doi:10.1016/j.amc.2017.04.013
   Web of Science ®Google Scholar
• Hassan, M. F., Ivrissimitzis, I. P., Dodgson, N. A., & Sabin, M. A. (2002). An interpolating 4-point C2 ternary stationary subdivision scheme. Computer Aided Geometric Design, 19(1), 1–18.
   Web of Science ®Google Scholar
• Livesu, M. (2021). Scalable mesh refinement for canonical polygonal schemas of extremely high genus shapes. IEEE Transactions on Visualization and Computer Graphics, 27(1), 254–260. doi:10.1109/TVCG.2020.3010736
   PubMed Web of Science ®Google Scholar
• Livesu, M., Pitzalis, L., & Cherchi, G. (2021). Optimal dual schemes for adaptive grid based hexmeshing. ACM Transactions on Graphics (TOG), 41(2), 1–14. doi:10.1145/3494456
   Web of Science ®Google Scholar
• Mahalingam, D., & Koneru, S. S. (2020). Constructing an Interpolatory Subdivision Scheme from Doo-Sabin Subdivision, Project Report: MEC-572.
   Google Scholar
• Meng, Q. X., Xu, W. Y., Wang, H. L., Zhuang, X. Y., Xie, W. C., & Rabczuk, T. (2020). DigiSim—An open source software package for heterogeneous material modeling based on digital image processing. Advances in Engineering Software, 148, 102836. doi:10.1016/j.advengsoft.2020.102836
   Web of Science ®Google Scholar
• Mustafa, G., & Rehman, N. A. (2010). The mask of (2b+4)-point n-ary subdivision scheme. Computing, 90, 1–14.
   Web of Science ®Google Scholar
• Ning, X., Gong, K., Li, W., Zhang, L., Bai, X., & Tian, S. (2020). Feature refinement and filter network for person re-identification. IEEE Transactions on Circuits and Systems for Video Technology, 31(9), 3391–3402. doi:10.1109/TCSVT.2020.3043026
   Web of Science ®Google Scholar
• Rehan, K., & Siddiqi, S. S. (2015). A combined binary 6-point subdivision scheme. Applied Mathematics and Computation, 270(C), 130–135. doi:10.1016/j.amc.2015.08.030
   Google Scholar
• Siddiqi, S. S., & Rehan, K. (2010). Improved binary four point subdivision scheme and new corner cutting scheme. Computers and Mathematics with Applications, 59, 2647–2657. doi:10.1016/j.camwa.2010.01.034
   Web of Science ®Google Scholar
• Siddiqi, S. S., & Rehan, K. (2011). Curve subdivision schemes for geometric modelling. International Journal of Computer Mathematics, 88(4), 851–863. doi:10.1080/00207160.2010.482987
   Web of Science ®Google Scholar
• Siddiqi, S. S., & Younis, M. (2013). Construction of m-point binary approximating subdivision schemes. Applied Mathematics Letters, 26(3), 337–343. doi:10.1016/j.aml.2012.09.016
   Web of Science ®Google Scholar
• Thorne, T. (2021). Computer Graphics 17- Curves and Surfaces 2. cit, 04–11.
   Google Scholar
• Xumin, L., Xiaojun, W., Xianpeng, Y., & Cailing, L. (2013). Adaptive Doo-Sabin subdivision algorithm. Journal of Theoretical & Applied Information Technology, 49(1), 311–315.
   Google Scholar
• Zhang, L., Wu, J., Wang, T., Borji, A., Wei, G., & Lu, H. (2020). A multistage refinement network for salient object detection. IEEE Transactions on Image Processing, 29, 3534–3545. doi:10.1109/TIP.2019.2962688
   Web of Science ®Google Scholar