REAL WORLD APPLICATIONS

Autonomous robot (Turtle Bot3) with limited exact vision range (0.88m)  ''in action''  (see the video here and  here or download the video below). Institute of Mathematical and Computational Sciences - IMACS, Ho Chi Minh City University of Technology, April 19, 2022.   Authors  and collaborators:  P. T. An, P. H. Anh, T. T. Binh, T. V. Hoai, N. T. Le, T. M. Tam, V. P. Truong, and T. L. Vi.   Used method: Building shortest paths on sequences of line segments then finding them by algorithms introduced by An, Hai, Huyen, Trang in Convex Anal. 2019, J. Comp. Appl. Math. 2017, Optimization 2018,  Numer. Funct. Optim. Anal. 2019.

Crack detection on the surfaces of solids via digital geometry.  Institute of Mathematical and Computational Sciences - IMACS, Ho Chi Minh City University of Technology, June 4, 2022. Authors  and collaborators:  P. T. An, T. V. Hoai, L. H. Trang et al. Used method: Orthogonal convex hull algorithms introduced by An, Hoai, Huyen, Le and Linh in J. Comp. Appl. Math. 2021, 2022 (see the pothole problem solved here and here). Crack width is defined mathematically by us here and is used for detecting cracks and measuring their widths here.