A three dimensional digital binary image is B26 connected if its set of black voxels is 26-connected, i.e. for all black voxels there exists at least one black voxel among its 26 neighbors. We show that any two such images I and J of c1 and c2 number of connected components respectively and n voxels each, can be transformed into one another maintaining the B26 connectivity of the black voxels b...

We study the recent introduced dressed coordinates in the path-integral approach. We define these coordinates in the context of a harmonic oscillator linearly coupled to massless scalar field and, we show that in this model the dressed coordinates appear as a coordinate transformation preserving the path-integral functional measure. We also generalize the sum rules established in a previous work.

We study the recent introduced dressed coordinates in the path-integral approach. We define these coordinates in the context of a harmonic oscillator linearly coupled to massless scalar field and, we show that in this model the dressed coordinates appear as a coordinate transformation preserving the path-integral functional measure. We also generalize the sum rules established in a previous work.