Modern Medical diagnoses are more and more based upon interactivity with different kinds of data. Images are at the very base of these diagnosis policies and require high degrees of interaction, a requirement that most compression standards do not meet since for achieving this, high granularity levels are needed. JPEG2000 (J2K) has lately arisen as a compression standard that tackles with these challenges, allowing appropriate compression rates and efficient access to data, i.e. random spatial access at any resolution and with any desired quality. Based on the J2K standard method, this article presents a 3D compression method which adapts the J2K simplicity handling of 2D data and includes the 3D information with no modification of the structures used in 2D implementations. The proposed method was compared with a conventional J2K implementation in 2D, using 3D and 4D data, showing that the 3D strategy saves around a 12 % of hard disk space when compared to the conventional 2D implementation.