13.472J Computational Geometry, Spring 2003
Author(s)Patrikalakis, N. M. (Nicholas M.); Maekawa, Takashi, 1953-
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Topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps and generalized cylinders, offsets, blending and filleting surfaces. Non-linear solvers and intersection problems. Solid modeling: constructive solid geometry, boundary representation, non-manifold and mixed-dimension boundary representation models, octrees. Robustness of geometric computations. Interval methods. Finite and boundary element discretization methods for continuum mechanics problems. Scientific visualization. Variational geometry. Tolerances. Inspection methods. Feature representation and recognition. Shape interrogation for design, analysis, and manufacturing. Involves analytical and programming assignments.
surface modeling, b-splines, deformable surfaces, generalized cylinders, offsets, filleting surfaces, Non-linear solvers and intersection problems, Solid modeling, boundary representation, non-manifold and mixed-dimension boundary representation models, octrees, Interval methods, discretization methods, Scientific visualization, Variational geometry, Tolerances, Inspection methods, Shape interrogation, 13.472J, 2.158J, 1.128J, 16.940J, 13.472, 2.158, 1.128, 16.940, Geometry -- Data processing