Tina Bosner

Doc. dr. sc. Tina Bosner Prirodoslovno-matematički fakultet Zagreb Matematički odsjek Bijenička 30 10000 Zagreb e-mail: phone: ++385 1 4605 741

Znanost

Područje rada:

• Čebiševljeva teorija
• stabilni algoritmi za računanje splajnova i njihova primjena
• CAGD

Radovi:

1. T. Bosner, et al., On calculating with lower order Chebyshev splines, Curves and Surfaces Design, Nashville, 2000, Vanderbild Univ. Press, pp. 343-353. (link)
2. T. Bosner, et al., Stable algorithms for calculating with q-splines, Proceedings of Computational and Applied Mathematics, 2001, pp. 99-104.(link)
3. T. Bosner, Polarne forme i ubacivanje čvorova splajnova, magistarski rad, Matematički odjel Prirodoslovno-matematičkog fakulteta u Zagrebu, 2002. (ps, pdf)
4. T. Bosner, et al., A de Boor type algorithm for tension splines, Curve and Surface Fitting, Brentwood, 2003, Nashboro Press, pp. 343-352. (link)
5. T. Bosner, Knot insertion algorithms for weighted splines, Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, 2005, pp. 151-160. (link)
6. T. Bosner, Knot insertion algorithms for Chebyshev splines, PhD thesis, Dept. of Mathematics, University of Zagreb, 2006.(ps, pdf)
7. T. Bosner, et al., Numerically stable algorithm for cycloidal splines, Annali dell'Universita di Ferrara, 53(2), 2007, pp. 189-197.(link)
8. T. Bosner, et al., Non-uniform exponential tension splines, Numerical Algorithms, 46(3), 2007, pp. 265-294. (link)
9. T. Bosner, et al., Collocation by singular splines, Annali dell'Universita di Ferrara, 54(2), 2008, pp. 217-227.(link)
10. T. Bosner, et al., Comparison of operator-fitted methods for singularly perturbed advection-diffusion-reaction problems, Proceedings of the 3rd International Conference on Approximation Methods and numerical Modeling in Environment and Natural Resources (MAMERN 2009), 2009, pp. 521-525. (link)
11. T. Bosner, Basis of splines associated with singularly perturbed advection-diffusion problems, Mathematical Communications, 15(1), 2010, pp. 1-12.(link)
12. T. Bosner, et al., Singularly perturbed advection-diffusion-reaction problems: Comparison of operator-fitted methods, Mathematics and computers in simulation, 81(10), 2011, pp. 2215-2224. (link)
13. T. Bosner, et al., Variable degree polynomial splines are Chebyshev splines, Advances in Computational Mathematics, 38(2), 2013, pp. 383-400. (link)
14. T. Bosner et al., Tension spline with application on image resampling, Mathematical Communications, 19(3), 2014, pp. 517–529. (link)
15. T. Bosner, et al., Quadratic convergence of approximations by CCC-Schoenberg operators, Numerische Mathematik, 135(4), 2017, pp. 1253-1287, DOI: 10.1007/s00211-016-0831-0. (link)
16. T. Bosner, et al., Application of CCC–Schoenberg operators on image resampling, BIT Numerical Mathematics, 60, 2020., pp. 129-155, DOI: 10.1007/s10543-019-00770-7. (link)
17. T. Bosner, High order approximation by CCC-spline quasi-interpolants, Journal of Computational and Applied Mathematics, 442, 2024, DOI: 10.1016/j.cam.2023.115715. (link)
18. T. Bosner, et al., WENO based adaptive image zooming algorithm, Applied Mathematics and Computation, 492, 2025, DOI: 10.1016/j.amc.2024.129228. (link)

Programski kodovi:

• Programski kodovi za računanje C¹ i C² napetih splajnova (vidi doktorsku disertaciju Radovi: 6.)
  • kratke upute: ReadMe.txt
  • C¹ napeti splajnovi: TensionSplinesC1.zip
  • C² napeti splajnovi: TensionSplinesC2.zip

Nastava

Raspored nastave u ljetnom semestru akademske godine 2024./25.:

• Računalna grafika
  • utorak od 9:00 do 12:00 u Praktikumu 1
• Numeričke metode u fizici 2
  • ponedjeljak od 13:00 do 15:00 u predavaoni P2 (Geofizika)
  • srijeda od 14:00 do 16:00 u predavaoni P2 (Geofizika)

Konzultacije:

Konzultacije se za vrijeme nastave u ljetnom semestru akademske godine 2024./25. održavaju ponedjeljkom od 15:00 do 16:00 i utorkom od 13:00 do 14:00 u sobi 223.