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In this technical report, we document our attempt to visualize adaptiveheightfields with smooth interpolation using ray casting in real time. Theperformance of ray casting depends strongly on the used interpolant and itsefficient evaluation. Unfortunately, analytical solutions for ray-surfaceintersections are only given in the literature for very few simple, piece-wisepolynomial surfaces. In our use case, we approximate the heightfield withradial basis functions defined on an adaptive grid, for which we propose atwo-step solution: First, we reconstruct and discretize the currently visibleportion of the surface with smooth approximation into a set of off-screenbuffers. In a second step, we interpret these off-screen buffers as regularheightfields that can be rendered efficiently with ray casting using a simplebilinear interpolant. While our approach works, our quantitative evaluationshows that the performance depends strongly on the complexity and size of theheightfield. Real-time performance cannot be achieved for arbitraryheightfields, which is why we report our findings as a failed attempt to useray casting for practical geospatial visualization in real time.

An Attempt of Adaptive Heightfield Rendering with Complex Interpolants Using Ray Casting