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With the development of sensors and rising demand for three-dimensional spatial information, 3D city reconstruction has become a hot topic in research and applications. A facade, as part of the building model, contains detailed and intuitive information, which could be effectively collected by mobile mapping systems with high resolution on street view. However, the current processing capability for mobile mapping data is not suitable for the consistently growing and massive amount of data acquired by mobile mapping systems. Therefore, there is still huge potential and sustainable value in the research of 3D building modeling using mobile mapping data. This paper reviews the existing related research activities both at home and abroad. Firstly, the paper analyzes the features of mobile mapping data. Secondly, the paper discusses the main algorithms in the workflow of building facade reconstruction and enhancement using 3D point clouds and image sequence. Finally, we point out the limitations of the existing methods and the challenges for future research. [ABSTRACT FROM AUTHOR]