Quadric reconstruction and classification based on boundary
Bing Xiao · Computer Engineering and Applications Journal · 2010
An algorithm is presented for reconstruction of the quadric by nine point constraints.Firstlyt,hree conics which are on the quadric and connected sequentially are found,and three points are got from each conic.Nine points are nine lin-ear constraints for equation coefficient,and an extra constraint is added.So the ten coefficients are determined by ten con-straints.Then,as for the degenerate quadrict,he point constraints are reduced to eight.A degeneracy constraint compensates for the reduction and so the exact solutions can be obtained,meanwhile,within the limits of experimental error,a simplified scheme for calculating the coefficient of the degenerate quadric is proposed.Lastlyt,he classification of quadric is analyzed.The experimental results indicate the effectiveness of the proposed method.