Although many work have been done on corner detection, no generally accepted mathematical definition exists. This paper gives an explicit definition of corner which is based on the multi-orientation nature of corner and presents an algorithm for corner detection based on orientation estimation. Experimental results show that the proposed algorithm is more accurate and noise-robust compared with...

Let S be a set of n points in the unit square [0, 1], one of which is the origin. We construct n pairwise interior-disjoint axis-aligned empty rectangles such that the lower left corner of each rectangle is a point in S, and the rectangles jointly cover at least a positive constant area (about 0.09). This is a first step towards the solution of a longstanding conjecture that the rectangles in s...