Human head imitation portrait robot capable of changing facial form and face organs as well as mathematical modeling method and control method thereof

The invention provides a human head imitation portrait robot capable of changing the facial form and face organs as well as a mathematical modeling method and a control method thereof, solving the problem that an existing human head imitation portrait robot has a fixed facial form and face organs and cannot show different face shapes. The human head imitation portrait robot comprises a facial form changing mechanism, a face organ changing mechanism and elastic face skin. The mathematical modeling method of the human head imitation portrait robot capable of changing the facial form and face organs comprises the following steps: 1, a mathematical modeling method of a human head imitation portrait robot capable of changing the facial form; and 2, a face organ position mathematical modeling method. By selecting facial form and face organ feature points, different facial forms and face organ positions are represented according to different model parameters; the facial form changing mechanism and the face organ cha