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poisson equation’s application in computer graphics Kai Kang November 11, 2015

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poisson equation’s application in computer graphics Kai Kang November 11, 2015
poisson equation’s application in computer
graphics
Kai Kang
November 11, 2015
Carnegie Mellon University
faculty mentor
Professor Keenan Crane
1
project goals
Develop fast, scalable tools for solving the Poisson equation on
triangulated surfaces by:
∙ Surveying existing best practices
2
project goals
Develop fast, scalable tools for solving the Poisson equation on
triangulated surfaces by:
∙ Surveying existing best practices
∙ Specializing general-purpose algorithms to the special case of
mesh geometry
2
project goals
Develop fast, scalable tools for solving the Poisson equation on
triangulated surfaces by:
∙ Surveying existing best practices
∙ Specializing general-purpose algorithms to the special case of
mesh geometry
∙ Adapting solvers to a context where scalability is needed (e.g.,
massive data sets and distributed platforms)
2
challenges
∙ Understanding Poisson Equation and different situations where
it is applied
3
challenges
∙ Understanding Poisson Equation and different situations where
it is applied
∙ Specialize general-purpose Poisson Equation solver for
optimization
3
challenges
∙ Understanding Poisson Equation and different situations where
it is applied
∙ Specialize general-purpose Poisson Equation solver for
optimization
∙ Writing parallel, scalable programs
3
potential impact
The deliverable will be an easy-to-use package for solving Poisson
equations that provides users with several different solvers, with the
goal of improving on the state of the art.
4
interesting things about this project...
Being able to visualize math
5
interesting things about this project...
Will read different algorithms on different papers, and will write
code that can be used to better(hopefully) implement them
6
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