A minimum area rectangle inscription method and system for automatically generating a minimum area rectangle that inscribes and bounds an approximately rectangular object contained within scanned image data. A polarization separating element includes a structural birefringence body having a base body made of a photosensitive material of which periodic refractive index distributions are formed in plural directions and at least a pair of surfaces is formed in the base body in which one surface is a light incident location and the other surface is a light emitting location. An RF excitation system generates radio-frequency excitation pulses. Each sub-table is written into a corresponding table of a row-based storage database. In one embodiment, data corresponding to a transactional memory access request may be stored in a portion of a memory after an operation corresponding to the transactional memory access request causes an overflow and a stored value may be updated for an occurrence of the overflow.