1/i m looking for all stuff relative to Rectangles Set (specialty rectangles with edges parallel to axes of orthonormal 2d space: lets note it $RS$.

i found this interesting article A new tractable subclass of the rectangle algebra

any one knows other works?

2/ given a set $S$ of rectangles in $RS$ , and a point $P$ in the same space, how can i find the "nearest" rectangle, with given height and width , to the point $P$ such that it do not "overlap" any element of $S$.

- nearest means: in the sense of the distance between the "center" of the rectangle and the point P
- center of rectangle means: the point with coordinate the center of each interval that defines the rectangle.
- overlap: means that the set of points defined by the two rectangles intersect.

regards