Examples of 'homogeneous coordinates' in a sentence
Meaning of "homogeneous coordinates"
Homogeneous Coordinates: In mathematics, homogeneous coordinates are a system used to represent points in projective geometry. These coordinates allow for the representation of points at infinity and provide a way to perform common transformations like translations, rotations, and scalings using matrix multiplication. Homogeneous coordinates are particularly useful in computer graphics and computer vision applications
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- plural of homogeneous coordinate
How to use "homogeneous coordinates" in a sentence
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homogeneous coordinates
Homogeneous coordinates have been transformed into.
These extended coordinates are called homogeneous coordinates.
Homogeneous coordinates and transformation matrices.
This algorithm is based on homogeneous coordinates and duality.
Homogeneous coordinates may be used to give an algebraic description of dualities.
The equation of a circle in homogeneous coordinates is of the form.
In homogeneous coordinates each conic section with equation of a circle is.
Trilinear coordinates are an example of homogeneous coordinates.
Homogeneous coordinates are used to locate the point of intersection in this case.
The last formula goes under the name of homogeneous coordinates.
In homogeneous coordinates.
Möbius was the first to introduce homogeneous coordinates into projective geometry.
Elements in an oriented projective space are defined using signed homogeneous coordinates.
Homogeneous coordinates allow us to use a single mathematical formula to deal with these two cases.
The lines in the plane can also be represented by homogeneous coordinates.
See also
Formulas involving homogeneous coordinates are often simpler and more symmetric than their Cartesian counterparts.
The curve is first interpreted in the projective plane using homogeneous coordinates.
So ( i, m, n ) is a system of homogeneous coordinates for the line.
To derive the camera matrix this expression is rewritten in terms of homogeneous coordinates.
Let ( x, y, z ) be the homogeneous coordinates of a point in the projective plane.
Team members have succeeded in describing algebraic maps between toric varieties and their homogeneous coordinates.
In particular, is such a system of homogeneous coordinates for the point.
In projective geometry, often used in computer graphics, points are represented using homogeneous coordinates.
In other words, if d has homogeneous coordinates over the projective frame ( a, b, c ), then k.
Barycentric coordinates, as defined above, are a form of homogeneous coordinates.
In homogeneous coordinates this becomes m, - n, Z.
I have re-indexed his memories using homogeneous coordinates.
The coordinates in the higher-dimensional space are an example of homogeneous coordinates.
NURBS are essentially B-splines in homogeneous coordinates.
For algebraic curves, computations may be simplified somewhat by converting to homogeneous coordinates.
Thus unlike Cartesian coordinates, a single point can be represented by infinitely many homogeneous coordinates.
Hence a different equation of the same line dax + dby + dcz 0 gives the same homogeneous coordinates.
A projective line corresponding to the plane ax + by + cz 0 in R3 has the homogeneous coordinates a, b, c.
Homographies act on a projective line over A, written P ( A ), consisting of points U ( a, b ) with homogeneous coordinates.
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Examples of using Coordinates
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Creates and coordinates work orders if necessary
I thought maybe they were lottery numbers or coordinates
We used the coordinates to locate the cities
Examples of using Homogeneous
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Homogeneous portfolios thus impaired can include
Hungary is a rather homogeneous country in ethnical terms
A homogeneous solution will be obtained by shaking gently
