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Item Report on the International Conference"Theory and Practice of Geometric Modelling"(Blackwell Publishing Ltd and the Eurographics Association, 1988) Seidel, Hans-PeterItem Automatic Detection of Closed Parametric Surfaces without Interior(Eurographics Association, 1988) Seidel, Hans-PeterThis paper presents an algorithm for the automatic detection of closed piecewise parametric surfaces without any inside or outside, e.g. a Klein bottle. The algorithm is able to decide whether a given closed surface is orientable or not. If non-orientable, the surface will not divide Euclidean 3-space into two halves. Therefore a non-orientable surface can never serve as the boundary of a solid object. The algorithm is based on results from algebraic topology and thus avoids the computation of derivatives and normal vectors. Several applications of the algorithm to rational tensor product B-spline surfaces are given.