© 2010 Dowon Hong et al. 351 Multiple rotation-based transformation (MRBT) was introduced recently for mitigating the apriori-knowledge independent component analysis (AK-ICA) attack on rotation-based transformation (RBT), which is used for privacy-preserving data clustering. MRBT is shown to mitigate the AK-ICA attack but at the expense of data utility by not enabling conventional clustering. ...

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...