Object/image relations in full and weak perspective and 3D reconstruction

Peter F. Stiller

doi:10.1117/12.862987

23 August 2010 Object/image relations in full and weak perspective and 3D reconstruction

Peter F. Stiller

Proceedings Volume 7799, Mathematics of Data/Image Coding, Compression, and Encryption with Applications XII; 779902 (2010) https://doi.org/10.1117/12.862987
Event: SPIE Optical Engineering + Applications, 2010, San Diego, California, United States

Abstract

In this paper we focus on the recovery of 3D shape (in a well defined sense) from matched features in 2D views. Our approach to shape reconstruction is invariant to pose and not dependent on knowing any of the camera parameters or the camera's location. The methods are also independent of any choice of coordinates used to represent the 2D or 3D features. We begin by examining two fundamental problems. The first problem involves determining global equations for the geometric constraints (object/image equations) that must hold between a set of object feature points and any image of those points, and using these equations to effectively reconstruct the 3D shape. The second involves describing the shape spaces for point features.

Citation Download Citation

Peter F. Stiller "Object/image relations in full and weak perspective and 3D reconstruction", Proc. SPIE 7799, Mathematics of Data/Image Coding, Compression, and Encryption with Applications XII, 779902 (23 August 2010); https://doi.org/10.1117/12.862987

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