Abstract: The dimensions of a countersunk hole, or of a fastener head, are determined accurately and rapidly by a nondestructive measurement system. At least one laser projects spots of light onto the surface being analyzed. From knowledge of the projection angle, and of the lateral displacement of the spots of light caused by variations in the depth of the surface, one can calculate an actual depth of each point on the surface. A set of parameters defining a mathematical model of the hole or fastener head are fitted to a set of measured coordinates of points on the surface being analyzed, using conventional numerical techniques. The optimized parameters define the dimensions of the countersunk hole or fastener head. The present invention operates independently of the coordinate system used to perform the measurements, so the invention eliminates errors caused by misalignment of optical components.