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As mentioned in Section 1, the motivation for the creation of svLis-m was a technique which uses multidimensional models to represent statically a system of objects exercising their degrees of freedom. Using this method, we are currently working on systems which use svLis-m to tackle geometric problems ranging from packing to mechanism design.
However, we believe that a solid modeller capable of dealing with any number of dimensions must have applications in many other areas, including those which are not geometric but deal with highly dimensional data sets.
An example of svLis-m being used to generate a configuration
space map:
A model of an object (red car) allowed to translate in x and y. A 4D model is created representing the car's x and y translations. The 4D model is then projected down into the two translation dimensions.
The 2 dimensional configuration space map showing the allowable translations in x and y, green = GO, red = NOGO, orange = CONTACT.