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Course Info

  • Course Number / Code:
  • 16.940J (Spring 2003) 
  • Course Title:
  • Computational Geometry 
  • Course Level:
  • Graduate 
  • Offered by :
  • Massachusetts Institute of Technology (MIT)
    Massachusetts, United States  
  • Department:
  • Mechanical Engineering 
  • Course Instructor(s):
  • Prof. Nicholas Patrikalakis
    Prof. Takashi Maekawa 
  • Course Introduction:
  •  


  • 2.158J / 1.128J / 16.940J Computational Geometry



    Spring 2003




    Course Highlights


    This course includes problem sets and extensive listings of readings and other related resources such as journals and conferences.


    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.   

     

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