Abstract: The goal of our research is to automate quantitative analysis of complex cardiac imaging data. The images are obtained by Computed Tomography (CT), Magnetic Resonance Imaging (MRI), Positron Emission Tomography (PET), and Single Photon Emission Computed Tomography (SPECT) modalities. New advances in these technologies allow 3D imaging of the beating heart with high temporal and spatial resolution for diagnosing disease or for selecting best treatment. Our work involves 3D segmentation/modeling of various parts of the heart, detection analysis of blockages in the coronary arteries and subtle defects in the heart muscle, automatic registration of multimodality data, inter-scan 3D comparison of image changes, and quantification of physiologically important parameters. We have demonstrated that our methods result in more reproducible testing, and in some cases, a more accurate diagnosis than that provided by a visual analysis performed by experienced cardiologists. I will briefly introduce cardiac imaging methods, discuss our latest results, and talk about remaining computing challenges which are of key relevance to the medical field.