When discrete meets differential: Assessing the stability of structure from small motion

• Main Authors: LIN, Wen-yan, TAN, Geok-Choo, CHEONG, Loong-Fah
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 2010
• Subjects: Structure from motion;Perturbation analysis; Computer and Systems Architecture
• Online Access: https://ink.library.smu.edu.sg/sis_research/4856; https://ink.library.smu.edu.sg/context/sis_research/article/5859/viewcontent/When_Discrete_Meets_Differential.pdf
• Institution: Singapore Management University

We provide a theoretical proof showing that under a proportional noise model, the discrete eight point algorithm behaves similarly to the differential eight point algorithm when the motion is small. This implies that the discrete algorithm can handle arbitrarily small motion for a general scene, as...