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Stationary points of multivariable function which represents some surfacehave an important role in many application such as computer vision, chemicalphysics, etc. Nevertheless, the dataset describing the surface for which asampling function is not known is often given. Therefore, it is necessary topropose an approach for finding the stationary points without knowledge of thesampling function.  In this paper, an algorithm for determining a set of stationary points ofgiven sampled surface and detecting the bindings between these stationarypoints (such as stationary points lie on line segment, circle, etc.) ispresented. Our approach is based on the piecewise RBF interpolation of thegiven dataset.

Determination of Stationary Points and Their Bindings in Dataset using RBF Methods