Reconstructing ellipsoids from three projection contours

In this paper, a method for reconstructing ellipsoids from three projection contours is described. Line integral projection of an ellipsoid with unifo rm density is developed to obtain the equation of the projection contour fo r any projection view. The reconstruction method starts from the estimation of parameters of a projection contour that has elliptic shape. Then an err or function utilizing three sets of ellipse parameters estimated in the pre vious step is minimized to estimate ellipsoid parameters. Simulation and re al experiments demonstrate the validity, usefulness and accuracy of the pro posed method. (C) 2000 Elsevier Science B.V. All rights reserved.