Infrared (IR) thermography determines the surface temperature of an object or human body using thermal IR measurement camera. It is an imaging technology which is contactless and completely non-invasive. These properties make IR thermography a useful method of analysis that is used in various industrial applications to detect, monitor and predict irregularities in many fields from engineering to medical and biological observations. This paper presents a conceptual model of Medical 3D Thermography which introduces standardised 3D thermogram creation, representation and analysis concepts useful for variety of medical applications. The creation of 3D thermograms is possible through combining 3D scanning methods with thermal imaging. We describe development of a 3D thermography system integrating passive thermal imaging with 3D geometrical data from active 3D scanner. We outline the potential benefits of this system in medical applications. In particular, we emphasize the benefits of using this system for preventive detection of breast cancer.