Lecture 9 Blending Surfaces 9.1 Examples and motivation Blending surfaces, providing a smooth connection between various primary or functional sur- faces, are very common in CAD. Examples include blending surfaces between Fuselage and wings of airplanes Propeller or turbine blade and hub Bulbous bow and ship hull Primary faces of solid models Blending(or filleting) surfaces are also byproducts of manufacturing processes such as NC milling with a ball or disk cutter As a result of continuity conditions, blending surfaces are of higher order, or involve a more complex formulation than the underlying surfaces to be joined. For a detailed review, see Woodwark [15], and Hoschek and Lasser [ 9(chapter 14)Lecture 9 Blending Surfaces 9.1 Examples and motivation Blending surfaces, providing a smooth connection between various primary or functional surfaces, are very common in CAD. Examples include blending surfaces between: • Fuselage and wings of airplanes • Propeller or turbine blade and hub • Bulbous bow and ship hull • Primary faces of solid models. Blending (or filleting) surfaces are also byproducts of manufacturing processes such as NC milling with a ball or disk cutter. As a result of continuity conditions, blending surfaces are of higher order, or involve a more complex formulation than the underlying surfaces to be joined. For a detailed review, see Woodwark [15], and Hoschek and Lasser [9] (chapter 14). 2