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The cross-polarized scattering (HV) of polarimetric synthetic aperture radar (PolSAR) data is caused not only by forest but also by urban buildings with azimuth orientation angles. Since the general double scattering in model-based decomposition does not support their dominant scattering mechanism, it's still a challenge for modeling the scattering mechanism of oriented buildings. In this paper, the HV induced by oriented buildings is modeled by a rotated dihedral corner reflector. The cross scattering matrix of oriented building is obtained by averaging a cosine squared distribution with its peak at the dominant polarimetric orientation angle (DPOA) of an area and an adaptive width. The relation between DPOA and distribution width is acquired. Then an optimization strategy which eliminates the negative power and balances time and efficiency is proposed to estimate the scattering contributions. The proposed algorithm is tested on AIRSAR data of San Francisco and UAVSAR of San Diego and the results confirm the effectiveness.