A Study on Geometric Degeneracy for 3D Reconstruction of Models

• Main Authors: Chien-Pang Ting, 丁建邦
• Other Authors: Cheng-Yuan Tang
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/36026613807236095866

碩士 === 華梵大學 === 資訊管理學系碩士班 === 95 === In this thesis, we focus on the study of the relationship between the orientation of cameras and the 3D reconstruction of objects. Given point correspondences, the 3D reconstruction of objects can be obtained by estimating the fundamental matrix between two images. Sometimes, however, the fundamental matrix which can not determine a unique solution is termed as degeneracy. The problems about degeneracy consist of the configuration and the type of transformation. In this thesis, the differences between theories (ideal) and experimental (practical) cases for degeneracy are considered. According to the experimental results, some good configurations for camera settings to avoid some degeneracy are suggested. Because the 3D point coordinates estimated from the fundamental matrix are non-metric, a transform matrix is used to transfer the non-metric 3D point coordinates into metric 3D point coordinates in this thesis. In the experiments, 3D point data of non-ruled quadrics, ruled quadrics and the plane from Homography are produced. These produced 3D points are used for testing the properties of degeneracy.