The main objectives are to motivate the need for and
proper use of modern CAE tools for analyzing mechanical systems
This course treats basic geometric concepts, computations, and algorithms including
- convexity and convex hulls
- intersections and geometric searching
- triangulations and decompositions
- point and set membership classification
as well as other topics on representing and computing of geomertic
objects. Applications of these computational techniques arise in
variety of engineering and scientific problems, such as: computer
graphics, finite element analysis, solid modeling, computer-aided
design and manufacturing, motion planning, biology, statistics, VLSI
design, visualization, and many others
The main objectives are to address the following to questions:
- Why engineering systems need to be optimized?
- How do we pose engineering optimization problems in a rigorous mathematical setting?
- What software tools can/ should one use to solve such optimization problems?
- When can one trust the results of optimization?
This graduate course
deals with the subject of mathematical modeling, computer
representation, and algorithms for manipulation of two- and
three-dimensional solid objects on a computer. It focuses on the basic
concepts of solid modeling from geometry and topology, an uses these
concepts to develop computational techniques for creating, editing,
rendering, analyzing, and computing with models of physical objects,
mechanical parts, assemblies, and processes. The material also includes
study and practical use of various representation schemes in solid
modeling and commercial systems, as well as examples of engineering
problems that are formulated and solved using solid modeling methods.
This new graduate-only course will consider design as a
computational process that transforms a representation of a (typically
mechanical) function into a representation of a (typically solid) form.
Accordingly, the three major themes of the course are representations
of form, function, and algorithms for transformations between the two.
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Last Updated ( Tuesday, 01 May 2007 )
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