The scientific work will focus on extending the approach described in
Reimers and Seland, "Ray Casting Algebriac Surfaces using the Frumstum Form", Computer Graphics Forum, Vol 27-2, pages 361-371.
Topics that will be studied in detail:
- Extend the fru stum form to other surface representations, such as semi-implicit surfaces and variational surfaces.
- Extend the current frustum-form algorithm to use Exact Geometric Computation (EGC) computations, which is actively researched at INRIA.
- Develop an eff ective and cache-friendly multivariate spline-blossoming algorithm to calculate the frustum form coefficients.