It is an object of present invention to provide for a faster method of multi-
component analysis. This object is achieved by a method for multi-
component analysis on MRI measurement data, wherein a component is defined by one or more tissue component parameters among which preferably one is a T2 or T1 value. The method comprising steps of receiving the MRI measurement data, wherein the MRI measurement data comprises multiple signals corresponding to multiple voxels in an
MRI image and wherein the MRI measurement data is acquired by means of a sequence encoding the one or more tissue component parameters; identifying components in the multiple voxels by minimizing a difference between the multiple signals and a linear combination of weighted simulated temporal
signal evolutions, wherein different simulated temporal
signal evolutions represent different components and are based on different values of the one or more tissue component parameters, and wherein the identification of the components is performed under the assumption that the possible components are the same for all of the multiple voxels and wherein a higher total number of components is penalized over a lower total number of components, and wherein the simulated temporal
signal evolutions are weighted by a
weight factor that is non-negative.