Objects deened by parametric surfaces are a compact representation delivering continuous deened accuracy. For the sake of speed, a discretization towards triangles is inevitable, which can be done adaptively to the projective properties. Simplicial complexes suit perfectly to store the adaptive discretization. Based on adaptive simplicial complexes we propose a modiied ray tracing algorithm. The algorithm steers the scene discretization in order to deliver the required accuracy. Invisible object areas gain less accuracy, which increases the time available for processing visible parts. With an appropriate hardware support we hope to get ray tracing like quality for dynamic complex scenes in real time.