This book is based on lectures presented at a workshop held at Hewlett Packard, Böblingen, FRG, in May 1990. The primary purpose of the workshop was to provide a forum for the exchange of technology between universities and industrial CAD/CAM centers. The workshop brought together international experts in the area of geometric modeling, industrial designers, and developers of industrial applications. Contributions cover a wide range of topics, including: - Surfaces on surfaces - Surfaces in solid modeling - Rational curves and surfaces - Scattered data methods - Smooth curve and surface design - Algebraic surfaces - NC-milling - Box splines - Feature modeling - Parametric design - Blossoming (or polarization)