This thesis presents a novel set of CAD (computer assisted detection/diagnosis) tools to assist the radiologist with the increasingly complex task of detecting and characterising breast lesions using magnetic resonance imaging (MRI). Commercial CAD systems presently fall short of automatically locating and classifying malignant lesions. Instead they automate many of the image processing and analysis functions that would otherwise have to be performed manually and visualise the data to aid interpretation. It is perhaps not surprising, therefore, that a recent meta-study concluded that existing breast MRI CAD does not improve the sensitivity and specificity of experienced radiologists and their interpretation remains essential. A recent review of breast MRI and MR spectroscopy concluded that what is needed are "quantitative features extracted preferably from the automatically segmented 3D lesion" and a more comprehensive assessment of lesions based on features/measurements "derived from MR multi-parametric acquisitions". This then was the motivation for the objectives of this thesis: (i) to develop an automatic 3D lesion segmentation algorithm for multi-modal breast MRI data; (ii) to develop features that quantitatively characterise the lesion (morphology, microvasculature, and microstructure) and other breast cancer signs from this data; and (iii) to evaluate these CAD tools using clinical breast MRI data.With regard to (i) a novel fully automatic method for segmentation (i.e., detection and delineation) of suspicious tissue in breast MRI is presented and evaluated. The method is based on mean-shift clustering and graph-cuts on a region adjacency graph. To the author's knowledge it is the first fully automatic method for breast lesion detection and delineation in breast MRI. The method was tested on a total of 102 lesions from two different vendors' scanner systems. The regions of interest identified by the method were compared with the ground truth (manually delineated by an experienced radiographer) and the detection and delineation accuracies quantitatively evaluated. One hundred percent of the lesions were detected with a mean of 4.5 ± 1.2 false positives per subject. This false-positive rate is nearly 50% better than previously reported for a fully automatic breast lesion detection system. The median Dice coefficient was ii 0.76 (interquartile range, 0.17), and 0.75 (interquartile range, 0.16) for the two scanner systems respectively.With regard to (ii) several new features for breast MRI CAD-derived from anatomical T1w and T2w images, DCE-MRI, and DW-MRI-are presented. They include features that characterise vascularity, blooming, and centripetal/centrifugal enhancement; and features extracted from the repartition of a lesion into mean-shift clusters. A new method for the fully automatic segmentation and measurement of the internal mammary vessels is also presented and evaluated. This was motivated by recent findings that the vascular cross-sectional area of internal mammary vessels is significantly...