homogeneous coordinate sentence in Hindi
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- Then, for any integer, the following equation is true in the homogeneous coordinate ring of:
- An example of this is the systems of homogeneous coordinates for points and lines in the projective plane.
- Homogeneous coordinates for projective spaces can also be created with elements from a division ring ( skewfield ).
- Using transformation matrices containing homogeneous coordinates, translations can be seamlessly intermixed with all other types of transformations.
- By using homogeneous coordinates, the intersection point of two implicitly defined lines can be determined quite easily.
- Thus we define as the homogeneous coordinates of the point at infinity corresponding to the direction of the line.
- In general, there is no difference either algebraically or logically between the homogeneous coordinates of points and lines.
- This included the theory of complex projective space, the coordinates used ( homogeneous coordinates ) being complex numbers.
- In a projective space,, a correlation is given by : points in homogeneous coordinates planes with equations.
- We can convert 2D points to homogeneous coordinates by defining them as ( x, y, 1 ).
- The "'clip coordinate system "'is a homogeneous coordinate system in the graphics pipeline.
- :Also, in Homogeneous coordinates, these things can be distinguished by the value in the extra component.
- One example is the close relationship between homogeneous polynomials and projective varieties . ( cf . homogeneous coordinate ring .)
- Viewed in terms of homogeneous coordinates, a real vector space of homogeneous coordinates of the original geometry is complexified.
- Viewed in terms of homogeneous coordinates, a real vector space of homogeneous coordinates of the original geometry is complexified.
- The mapping from 3D coordinates of points in space to 2D image coordinates can also be represented in homogeneous coordinates.
- Form the ( N + 1 ) \ times m matrix G whose columns are the homogeneous coordinates of these points.
- Is considered as graded module over the homogeneous coordinate ring of the projective space, and a minimal free resolution taken.
- Rotations in such spaces using these generalisations of quaternions, called rotors, can be very useful for applications involving homogeneous coordinates.
- As a result, various relations between these objects can be described in a simpler way than is possible without homogeneous coordinates.
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