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Item A Statistical Method For Adaptive Stochastic Sampling(The Eurographics Association, 1986) Purgathofer, Werner; A.A.G. RequichaStochastic sampling is a good alternative to pure oversampling in terms of image quality. A method for adaptively controlling the number of required samples to the complexity of the picture is presented. The quality of the obtained picture can be controlled by two well-understandable parameters, these parameters define an error interval sire and the probability that a pixel lies within it. The usefulness of the method is described by applying it to distributed ray-tracing.Item Deformation of Solids with Trivariate B-Splines(Eurographics Association, 1989) Griessmair, Josef; Purgathofer, WernerSolid geometric models can be deformed to free-form solids by the use of trivariate B-splines. This paper describes the problems of implementing such transformations for shaded rendering. The surfaces are subdivided into triangles adaptively so that the error in image space is limited. This adaptive triangulation ensures a smooth appearance of the resulting pictures.