Geometric algebra: a framework for computing point and line correspondences and projective structure using n uncalibrated cameras

نویسندگان

  • Eduardo Bayro-Corrochano
  • Joan Lasenby
  • Gerald Sommer
چکیده

In this paper we present geometric algebra as a system for analysing the geometry of multiple-view images. The power of this approach is illustrated by giving purely geometric derivations of the constraints for point and line correspondences in n-views and via a discussion of projective structure.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A ne Structure from Line Correspondences with Uncalibrated A ne Cameras Long QUAN and Takeo KANADE

|This paper presents a linear algorithm for recovering 3D a ne shape and motion from line correspondences with uncalibrated a ne cameras. The algorithm requires a minimum of seven line correspondences over three views. The key idea is the introduction of a one-dimensional projective camera. This converts 3D a ne reconstruction of \line directions" into 2D projective reconstruction of \points". ...

متن کامل

Combinatorial Constraints on Multiple Projections of a Set of Points

Multiple projections of a scene cannot be arbitrary, the allowed configurations being given by matching constraints. This paper presents new matching constraints on multiple projections of a rigid point set by uncalibrated cameras, obtained by formulation in the oriented projective rather than projective geometry. They follow from consistency of orientations of camera rays and from the fact tha...

متن کامل

What can Grassmann, Hamilton and Clifford tell us about Computer Vision and Robotics

Geometric algebra is a universal mathematical language which provides very comprehensive techniques for analyzing the complex geometric situations occurring in robotics and computer vision. The application of the 4D motor algebra for the linearization of the the hand-eye calibration problem is presented. Geometric algebra and its associated linear algebra framework is a very elegant language to...

متن کامل

A Unified Language for Computer Vision and Robotics

Geometric algebra is an universal mathematical language which provides very comprehensive techniques for analyzing the complex geometric situations occurring in artiicial Perception Action Cycle systems. In the geometric algebra framework such a system is both easier to analyze and to control in real time computations. This paper describes the application of rotors and motors for tasks involvin...

متن کامل

Projective reconstruction from line-correspondences in multiple uncalibrated images

A new approach is proposed for reconstructing 3D lines and cameras from 2D corresponding lines across multiple uncalibrated views. There is no requirement that the 2D corresponding lines on different images represent the same segment of a 3D line, which may not appear on all images. A 3D line is reconstructed by minimizing a geometric cost function that measures the distance of the reprojected ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1996