PT Unknown
AU Mohammad Rouhani
   Angel Sappa
TI A Novel Approach to Geometric Fitting of Implicit Quadrics
BT 8th International Conference on Advanced Concepts for Intelligent Vision Systems
PY 2009
BP 121–132
VL 5807
DI 10.1007/978-3-642-04697-1_12
AB This paper presents a novel approach for estimating the geometric distance from a given point to the corresponding implicit quadric curve/surface. The proposed estimation is based on the height of a tetrahedron, which is used as a coarse but reliable estimation of the real distance. The estimated distance is then used for finding the best set of quadric parameters, by means of the Levenberg-Marquardt algorithm, which is a common framework in other geometric fitting approaches. Comparisons of the proposed approach with previous ones are provided to show both improvements in CPU time as well as in the accuracy of the obtained results.
ER