3D reconstruction based on the decomposition of a matrix

Abstract

Listen

Translate article

This paper proposes a 3D reconstruction method based on the decomposition of matrix. The method uses the Singular Value Decomposition (SVD) of the fundamental matrix, which leads to a particularly simple form of the Kruppa equations optimized by conjugate gradient method. The derivation doesn't need the somewhat non-intuitive geometric concept of the absolute conic. After the projective depths are estimated, the non-singular 4x4 matrix is obtained to realize the Euclidean reconstruction. Experimental results demonstrate the effectiveness of the proposed method.