The paper describes a concept of measuring possible error estimation and later the decomposition of the predefined model object into convex areas ECD (Exact Convex Decomposition) in order to find a solution to the problem of cavities location with the use of three-dimensional–tomography image of the tooth. Such an approach will enable the improvement of automatic cavities detection methods in the future. The paper is also concerned with the problem of a precise object acquisition and estimation of the error value during execution of automatic detection methods.