Computation of the essential matrix from 6 points

نویسنده

  • Richard I. Hartley
چکیده

Thus, consider a set of matched points ui ↔ ui for i = 1, . . . , 6 and suppose that the points x1, . . . ,x4 corresponding to the first four matched points lie in a plane in space. Let this plane be denoted by π. Suppose also that no three of the points x1, . . . ,x4 are collinear. Suppose further that the points x5 and x6 do not lie in that plane. Various other assumptions will be necessary in order to rule out degenerate cases. These will be noted as they occur.

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

Invariants of Points Seen in Multiple Images

This paper investigates projective invariants of geometric configurations in 3 dimensional projective space P, and most particularly the computation of invariants from two or more independent images. A basic tool in this investigation is the essential matrix defined by Longuet-Higgins ([10]), for this matrix describes the epipolar correspondence between image pairs. It is proven that once the e...

متن کامل

Generalized essential matrix: Properties of the singular value decomposition

When considering non-central imaging devices, the computation of the relative pose requires the estimation of the rotation and translation that transform the 3D lines from one coordinate system to the second. In most of the state-ofthe-art methods, this transformation is estimated by the computing a 6× 6 matrix, known as the Generalized Essential Matrix. To allow a better understanding of this ...

متن کامل

Computing the Matrix Geometric Mean of Two HPD Matrices: A Stable Iterative Method

A new iteration scheme for computing the sign of a matrix which has no pure imaginary eigenvalues is presented. Then, by applying a well-known identity in matrix functions theory, an algorithm for computing the geometric mean of two Hermitian positive definite matrices is constructed. Moreover, another efficient algorithm for this purpose is derived free from the computation of principal matrix...

متن کامل

Sweep Line Algorithm for Convex Hull Revisited

Convex hull of some given points is the intersection of all convex sets containing them. It is used as primary structure in many other problems in computational geometry and other areas like image processing, model identification, geographical data systems, and triangular computation of a set of points and so on. Computing the convex hull of a set of point is one of the most fundamental and imp...

متن کامل

Computation of the q-th roots of circulant matrices

In this paper, we investigate the reduced form of circulant matrices and we show that the problem of computing the q-th roots of a nonsingular circulant matrix A can be reduced to that of computing the q-th roots of two half size matrices B - C and B + C.

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 2001