Abstract
Recently, there have been some developments In constructing infinitely smooth genus n objects over a single domain using so called topological design method. Comparing with the existing geometric design methods, it provides many advantages: simpler data structure, compact data set, and infinite continuity. Improvement in the user interface, however, is still needed for designing free form genus n objects. This research improves the topological design interface by incorporating a radial basis scattered data interpolating function for designing infinitely smooth genus n objects over a single domain. As part of this research, a constrained Delaunay triangulation over the unstructured given data, on the single domain, is activated. This allows visualization of the polygonized genus n object in object space as well as providing an interactive data control behavior in object space. This method is characterized by the unconstrained control points inside boundaries and by the small-size data set designing a free form genus n object.