Interpolating Probability Values or Fuzzy Set Values for Uncertain Spatiotemporal Objects

Abstract

This paper looks at ways of quickly interpolating probability values or fuzzy set values for uncertain spatiotemporal objects that may change continuously over time. The paper starts with presenting a way to compute a tetrahedralization of an uncertain spatiotemporal object and using that to compute consistent interpolations. This approach also turns out to be able to create fairly good interpolations of the shape of the spatiotemporal object without needing an extra algorithm for this purpose. However, a naïve use of any tetrahedralization turns out to create interpolation artifacts in those objects that become significantly more or less uncertain with time. The paper then presents a way to overcome this issue at the cost of more processing.