13.472J Computational Geometry, Spring 2003
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13-472JSpring-2003/OcwWeb/Ocean-Engineering/13-472JComputational-GeometrySpring2003/CourseHome/index.htm
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Author(s) •
Patrikalakis, N. M. (Nicholas M.)
Maekawa, Takashi, 1953-
Alternative Title
Computational Geometry
Date Issued
June 2003
Abstract
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.
Subjects
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
MIT Department
Massachusetts Institute of Technology. Department of Ocean Engineering
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