Interior filling polycubes

The three-dimensional RBSM method relies on the shape properties of interior filling polycubes Pj(G(a),n) inscribed in molecular contour surfaces G(a) when assessing the similarity of the G(a) contours and the formal molecular bodies B(a) enclosed by them. In order to define levels of resolution scaled relative to the molecular size, the absolute size parameter s is not used directly. One obtains more comparable shape characterizations of both small and large objects when using the same number of cubes. Consequently, each level of resolution is defined by the number n of cubes of interior filling polycubes Pi(G(a),n), which depends on the relative size of the object G(a) as compared to the cube size s. 

The family of all interior filling polycubes P (G,n) of the molecular contour surface G at level n is denoted by F(G,n),... 

The similarity index io(Gi,G2) of two molecular contour surfaces Gj and G2 is the smallest n value at and above which all interior filling polycubes of contour surfaces Gj and G2 are different,... 

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