An integrated transformation apparatus is provided. The apparatus includes a first multiplexer, a second multiplexer, and a transformation unit. The first multiplexer retrieves point data from columns or rows of a multi-dimensional matrix and input data. The second multiplexer retrieves transformation coefficients corresponding to the point data. The transformation unit transforms data blocks of the multi-dimensional matrix to a plurality of sub data blocks according to the input data, the point data, and the transformation coefficients.