MIT OpenCourseWare | Mechanical Engineering | 2.158J Computational Geometry, Spring 2003 | Home

MIT OpenCourseWare | Mechanical Engineering | 2.158J Computational Geometry, Spring 2003 | Home

As taught in: Spring 2003

Level:
Graduate

Instructors:
Prof. Nicholas Patrikalakis
Prof. Takashi Maekawa

Course Description
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.

This course was originally offered in Course 13 (Department of Ocean Engineering) as 13.472J. In 2005, ocean engineering subjects became part of Course 2 (Department of Mechanical Engineering), and this course was renumbered 2.158J.

Curvature map of a torus showing elliptic, parabolic, and hyperbolic regions. (Image by Prof. Nicholas Patrikalakis.)