Computer graphics fundamentals: Transformations, projections; Parametric curves: Differential geometry of curves, Hermite (PC), Bezier and B-Spline curves; Parametric surfaces: Differential geometry of surfaces, differential geometry of ruled and developable surfaces, Ferguson, Coon’s, Bezier and B-Spline surface patches, sweep and cylindrical surfaces, composite surface; Representation of solids: Cellular decomposition models, b-rep and CSG models, parametric instancing and sweep; CG, mass & geometrical properties; Data transfer; CAD for FEA, design optimization and CAM; Recent trends: Reverse engineering and rapid manufacturing.
References:
[1] D. F. Rogers and J. A. Adams, Mathematical Elements of Computer Graphics, 2nd ed., Mc Graw Hill, 1990.
[2] M. E. Mortenson, Geometric Modeling, John Wiley & Sons, 1985.
[3] M. E. Mortenson, Mathematics for Computer Graphics Applications, 2nd ed., Industrial Press, 1999.
[4] D. L. Ryan, Computer-Aided Graphics and Design, Marcel Dekker Inc, 1994.
[5] K. Lee, Principles of CAD/CAM/CAE systems, Addison Wesley, 1999.
[6] I. Zied, CAD/CAM Theory and Practice, Tata McGraw Hill, 2000.