Three-dimensional reconstructive echocardiography provides the necessary data for a complete description of cardiac structure and function. It is implemented using an inexpensive position locating device, a sector scanner, and a general purpose computer with attached image and graphics processors. Its application to the three-dimensional reconstruction of the endocardial surface yields a graphics display of a multiple tomographic slice ensemble. Quantitative applications include a more accurate Simpson's Rule volume calculation and centroid computations for wall motion and shape analysis.