In many industrial and non-industrial applications, it is necessary to identify the largest inscribed rectangle in a certain shape. The problem is studied for convex and non-convex polygons. Another criterion is the direction of the rectangle: axis aligned or general. In this paper a heuristic algorithm is presented for finding the largest axis aligned inscribed rectangle in a general polygon. Comparing with stare of the art, the rectangles resulted from our algorithm have bigger area. We also proposed an approach to use the algorithm for finding a rectangle with general direction.
Marzeh,Z , Tahmasbi,M and Mirehi,N . (2019). Algorithm for finding the largest inscribed rectangle in polygon. Journal of Algorithms and Computation, 51(1), 29-41. doi: 10.22059/jac.2019.71280
MLA
Marzeh,Z , , Tahmasbi,M , and Mirehi,N . "Algorithm for finding the largest inscribed rectangle in polygon", Journal of Algorithms and Computation, 51, 1, 2019, 29-41. doi: 10.22059/jac.2019.71280
HARVARD
Marzeh Z, Tahmasbi M, Mirehi N. (2019). 'Algorithm for finding the largest inscribed rectangle in polygon', Journal of Algorithms and Computation, 51(1), pp. 29-41. doi: 10.22059/jac.2019.71280
CHICAGO
Z Marzeh, M Tahmasbi and N Mirehi, "Algorithm for finding the largest inscribed rectangle in polygon," Journal of Algorithms and Computation, 51 1 (2019): 29-41, doi: 10.22059/jac.2019.71280
VANCOUVER
Marzeh Z, Tahmasbi M, Mirehi N. Algorithm for finding the largest inscribed rectangle in polygon. J. Algo. Comp.. 2019;51(1):29-41. doi: 10.22059/jac.2019.71280