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We propose an efficient alternative to commonly used parametric surfaces such as NURBS surfaces for definition of complex geometry in shared virtual spaces. Our mathematical model allows to define objects by only providing coordinates of the section curves in 3-space. The resulting parametric functions allow fast calculation of the coordinates of the points on the surface of the objects. We devise an algorithm which evaluates the coefficients of these functions in real time. Given the smalldoi:10.1109/cw.2009.8 dblp:conf/vw/UgailCSS09 fatcat:amcgac4vcbh6tdm6wyguqk5knq