Three-dimensional-model processing apparatus, three-dimensional-model processing methods, and computer programs are provided. In a three-dimensional-model processing apparatus, method, and computer programs, it is determined whether relative positions or relative attitudes of a plurality of three-dimensional objects shown on an image display unit satisfy a predetermined processing execution condition. When it is determined that the processing execution condition is satisfied, distinction information indicating that processing such as pickup or joining of objects is possible is presented. For example, display mode is changed or sound is output for the objects. A user is allowed to immediately find without stress whether an object is at a position where pickup or joining is possible. This improves the efficiency of operation.