When there are several close objects or a smaller object is overlaid on a bigger one, the objects can become entangled in one connectivity tree and should be deblended. A structure will be detached from the tree as a new root node if there exists at least one other structure at the same level belonging to the same tree and the following condition is fulfilled: . Here, is the maximum wavelet coefficient of ; , where is the structure connected to , such that the position of its maximum wavelet coefficient is closest to the position of the maximum of , if is not connected to any structure at scale then ; and , i.e., the maximum wavelet coefficient at scale , such that its location belongs to . Recursive application of this deblending procedure to the connectivity tree yields objects as independent structures of significant wavelet coefficients. Partial reconstruction of these objects as images is a nontrivial task. The simplest solution is to perform inverse wavelet transforms for each object, setting all wavelet coefficients not belonging to the object to zero.