Phan Thanh An

Scientific Publications

Publications

1. 1. Phan Thanh An, Phong Thi Thu Huyen, Nguyen Thi Le, A modified Graham’s convex hull algorithm for finding the connected orthogonal convex hull of a finite planar point set, Applied Mathematics and Computation, 397 (2021), 125889, (2021)
2. 2. Phan Thanh An, Nam-Dung Hoang, Nguyen Kieu Linh, An efficient improvement of gift-wrapping algorithm for computing the convex hull of a finite set of points in $R^n$, Numerical Algorithms, 85 (2020), 1499-1518 (2020)
3. 3. Nguyen Kieu Linh, Chanyoung Song, Joonghyun Ryu, Phan Thanh An, Nam-Dung Hoang, Deok-Soo Kim, QuickhullDisk: A faster convex hull algorithm for disks, Applied Mathematics and Computation 363 (2019), 124626 (2019)
4. 4. Phan Thanh An, Finding shortest paths in a sequence of triangles in 3D by the planar unfolding, Numerical Functional Analysis and Optimization, 40 (8) (2019), pp. 944-952 (2019)
5. 5. Nguyen Ngoc Hai, Phan Thanh An, Phong Thi Thu Huyen, Shortest paths along a sequence of line segments in Euclidean spaces, Journal of Convex Analysis, 26 (4) (2019) (2019)
6. 6. Phan Thanh An, Le Hong Trang, Computing approximately shortest descending paths on convex terrains via multiple shooting, Computational and Applied Mathematics, 37 (5) (2018), pp. 6499-6529. (2018)
7. 7. Phan Thanh An, Finding Shortest Paths in a Sequence of Triangles in 3D by the Method of Orienting Curves, Optimization, 67 (2018), 159-177 (2018)
8. 8. Tran Van Hoai, Phan Thanh An, Nguyen Ngoc Hai, Multiple shooting approach for computing approximately shortest paths on convex polytopes, Journal of Computational and Applied Mathematics, 317 (2017), 235–246 (2017)
9. 9. Le Hong Trang, Attila Kozma, Phan Thanh An, Moritz Diehl, A sequential convex programming algorithm for minimizing a sum of Euclidean norms with non-convex constraints, Optimization Methods and Software, 31 (2016), 187-203 (2016)
10. 10. Phan Thanh An, Dinh Thanh Giang, A direct method for determining the lower convex hull of a finite point set in 3D,, Proceedings of 3rd International Conference on Computer Science, Applied Mathematics and Applications - ICCSAMA 2015, May 11-13, Metz, France, Advances in Intelligent Systems and Computing, Springer, Vol. 358, 2015, pp. 15-26 (2015)
11. 11. Phan Thanh An, Dinh Thanh Giang, Le Hong Trang, An exact algorithm for minimizing a sum of Euclidean norms on rays in 2D and 3D, Numerical Functional Analysis and Optimization, 36 (2015), 405–418 (2015)
12. 12. Phan Thanh An, Nguyen Ngoc Hai, Le Hong Trang, Tran Van Hoai, On the performance of triangulation-based multiple shooting method for 2D shortest path problems,, LNCS Transactions on Large Scale Data and Knowledge Centered Systems, Springer, 2014, 45-56 (2014)
13. 13. Phan Thanh An, Nguyen Ngoc Hai, Tran Van Hoai, The role of graph for solving some geometric shortest path problems in 2D and 3D,, Proceedings of the 5th FTRA International Conference on Computer Science and its Applications (CSA-13), Danang, Vietnam, December 18 - 21, 2013, 2013, Lecture Notes in Electrical Engineering (LNEE), Springer, Vol. 279, pp. 179-184, 2014 (2014)
14. 14. Phan Thanh An, Le Hong Trang, An efficient convex hull algorithm for finite point sets in 3D based on the Method of Orienting Curves, Optimization, 62 (2013), 975-988 (2013)
15. 15. Phan Thanh An, Nguyen Ngoc Hai, Tran Van Hoai, The role of convexity for solving some shortest path problems in plane without triangulation, AIP Conference Proceedings, American Institute of Physics, NY, Vol. 1557 (2013), 89-93 (2013)
16. 16. Phan Thanh An, Nguyen Ngoc Hai, Tran Van Hoai, Direct multiple shooting method for solving approximate shortest path problems, Journal of Computational and Applied Mathematics 244 (2013), 67 - 76 (2013)
17. 17. Phan Thanh An, Nguyen Ngoc Hai, A generalization of Blaschke's convergence theorem in metric spaces, Journal of Convex Analysis, 4 (2013), 1013 - 1024 (2013)
18. 18. Phan Thanh An, Tran Van Hoai, Incremental convex hull as an orientation to solving the shortest path problem, International Journal of Information and Electronics Engineering, 2 (2012), 652-655 (2012)
19. 19. Phan Thanh An, Le Hong Trang, A parallel algorithm based on convexity for the computing of Delaunay tessellation, Numerical Algorithms, 59 (2012), 347 -357 (2012)
20. 20. Nguyen Ngoc Hai, Phan Thanh An, Blaschke-type theorem and separation of disjoint closed geodesic convex sets, Journal of Optimazation Theory and Applications 3 (2011), 541 - 551 (2011)
21. 21. Phan Thanh An, Dinh Thanh Giang, Nguyen Ngoc Hai, Some computational aspects of geodesic convex sets in a simple polygon, Numerical Functional Analysis and Optimization, 31 (2010), 221 -231 (2010)
22. 22. Phan Thanh An, Method of orienting curves for determining the convex hull of a finite set of points in the plane, Optimization, 59 (2010), 175 - 179 (2010)
23. 23. Phan Thanh An, Reachable grasps on a polygon of a robot arm: finding convex riangulation, International Journal of Robotics and Automation, 4 (2010), 304 - 310 (2010)
24. 24. Phan Thanh An, Vuong Thi Thao Binh, Stability of excess demand functions with respect to a strong version of Wald's axiom, Asia-Pacific Journal of Operational Research (APJOR) 26 (2009), 523-532 (2009)
25. 25. Phan Thanh An, Stability of generalized convexity and monotonicity, . In: Mathematical modeling, simulation, visualization and e-learning, 193 - 200, Springer, Berlin, 2008 (2008)
26. 26. Phan Thanh An, Some computational aspects of Helly-type theorems, Journal of Numerical Analysis, Industrial and Applied Mathematics 3 (2008), 269 - 274 (2008)
27. 27. Phan Thanh An, Phan Le Na, Ngo Quoc Chung, On parametric domain for asymptotic stability with probability one of zero solution of linear Ito stochastic differential equations, , Ital. J. Pure Appl. Math., (2007), 129 - 138. (2007)
28. 28. Phan Thanh An, Helly-type theorems for roughly convex-like sets, Numerical Functional Analysis and Optimization, 28 (2007), 553 - 558. (2007)
29. 29. Phan Thanh An, A modification of Graham's algorithm for determining the convex hull of a finite planar set, Annales Mathematicae et Informaticae, 34 (2007), 3 - 8. (2007)
30. 30. Phan Thanh An, Stability of generalized monotone maps with respect to their characterizations, Optimization, 55 (2006), 289-299. (2006)
31. 31. Phan Thanh An, A new type of stable generalized convex functions, JIPAM. Journal of Inequalities in Pure & Applied Mathematics, 7 (2006), 10 pp. (2006)
32. 32. Phan Thanh An, Nonemptiness of approximate subdifferentials of midpoint $\delta$-convex functions, Numerical Functional Analysis and Optimization, 26 (2005), 735 - 738 (2005)
33. 33. Phan Thanh An, Outer $\gamma$-convex functions on a normed space, JIPAM. Journal of Inequalities in Pure & Applied Mathematics, 6 (2005), 8 pp. (2005)
34. 34. Phan Thanh An, Nguyen Ngoc Hai, $\delta$-Convexity in Normed Linear Spaces, Numerical Functional Analysis and Optimization, 25 (2004), 407 - 422 (2004)