abstract |
A key aspect of parameterizations is that it allows to perform any kind of action that regards a given surface in the parameter domain instead, which often is much simpler to do. For example, instead of determining the size of a country by taking measurements from a plane, this value can easily be read from the map. Another application is the handling of colour information that is given for any point on a surface. Using the parameterization, it is easy to map this information to a planar domain and store it in terms of a bitmap. Upon displaying the surface, the inverse mapping is then used to map the colour back to the correct position on the surface. I will discuss these and other applications of parameterizations and give a brief overview of recent research problems as well as open questions.
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