Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Install
Faster access than browser!
 

Homogeneous coordinates and Homography

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Homogeneous coordinates and Homography

Homogeneous coordinates vs. Homography

In mathematics, homogeneous coordinates or projective coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcül, are a system of coordinates used in projective geometry, as Cartesian coordinates are used in Euclidean geometry. In projective geometry, a homography is an isomorphism of projective spaces, induced by an isomorphism of the vector spaces from which the projective spaces derive.

Similarities between Homogeneous coordinates and Homography

Homogeneous coordinates and Homography have 9 things in common (in Unionpedia): Euclidean geometry, Field (mathematics), Finite field, Perspective (graphical), Point at infinity, Projective geometry, Projective line, Projective space, Riemann sphere.

Euclidean geometry

Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.

Euclidean geometry and Homogeneous coordinates · Euclidean geometry and Homography · See more »

Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

Field (mathematics) and Homogeneous coordinates · Field (mathematics) and Homography · See more »

Finite field

In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.

Finite field and Homogeneous coordinates · Finite field and Homography · See more »

Perspective (graphical)

Perspective (from perspicere "to see through") in the graphic arts is an approximate representation, generally on a flat surface (such as paper), of an image as it is seen by the eye.

Homogeneous coordinates and Perspective (graphical) · Homography and Perspective (graphical) · See more »

Point at infinity

In geometry, a point at infinity or ideal point is an idealized limiting point at the "end" of each line.

Homogeneous coordinates and Point at infinity · Homography and Point at infinity · See more »

Projective geometry

Projective geometry is a topic in mathematics.

Homogeneous coordinates and Projective geometry · Homography and Projective geometry · See more »

Projective line

In mathematics, a projective line is, roughly speaking, the extension of a usual line by a point called a point at infinity.

Homogeneous coordinates and Projective line · Homography and Projective line · See more »

Projective space

In mathematics, a projective space can be thought of as the set of lines through the origin of a vector space V. The cases when and are the real projective line and the real projective plane, respectively, where R denotes the field of real numbers, R2 denotes ordered pairs of real numbers, and R3 denotes ordered triplets of real numbers.

Homogeneous coordinates and Projective space · Homography and Projective space · See more »

Riemann sphere

In mathematics, the Riemann sphere, named after Bernhard Riemann, is a model of the extended complex plane, the complex plane plus a point at infinity.

Homogeneous coordinates and Riemann sphere · Homography and Riemann sphere · See more »

The list above answers the following questions

Homogeneous coordinates and Homography Comparison

Homogeneous coordinates has 44 relations, while Homography has 80. As they have in common 9, the Jaccard index is 7.26% = 9 / (44 + 80).

References

This article shows the relationship between Homogeneous coordinates and Homography. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »