Estimation of Differential Parameters Ontriangulated Surface

Reference 1] Pavel Krsek, Tomm a s Pajdla, and VV aclav Hlavv a c. Estimation of differential parameters on triangulated surface. Abstract This paper presents an algorithm for estimation of principal curvatures and principal directions from 3D scanned data. The diierential parameters will be base for nding of diierential structures on the surface. This structures should be used for fusion of range data from more views. Input to the algorithm are coordinates of points and the triangulation deening a neighbourhood of points. First, the measured points are locally approximated by an osculating paraboloid. The differential parameters of the paraboloid are considered as an initial estimate of the parameters of the original surface. If the measured points are samples of function z = f (x; y), the paraboloid with axis parallel to z axis can be used for local approximation. The noise usually have large innuence on the initial estimation of parameters. Therefore, the initial estimate is further reened by using estimated parameters from the neighbourhood of each point.