Apart from anatomical and physiological imaging, MRI can also be used to produce temperature maps. Our objective is to obtain such maps in real-time to monitor mini-invasive thermal therapies. The acquisition procedure of temperature MRI produces specific artefacts : noise generated by MRI, motion artefacts and geometric distortions. Here, numerical methods are described for attenuation of such artefacts. The methods are based on a physical description of the origin of such artefacts in MR temperature mapping. Keywords MRI, temperature maps, real-time image processing.