The "'clip coordinate system "'is a homogeneous coordinate system in the graphics pipeline.
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:Also, in Homogeneous coordinates, these things can be distinguished by the value in the extra component.
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One example is the close relationship between homogeneous polynomials and projective varieties . ( cf . homogeneous coordinate ring .)
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Viewed in terms of homogeneous coordinates, a real vector space of homogeneous coordinates of the original geometry is complexified.
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Viewed in terms of homogeneous coordinates, a real vector space of homogeneous coordinates of the original geometry is complexified.
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The mapping from 3D coordinates of points in space to 2D image coordinates can also be represented in homogeneous coordinates.
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Form the ( N + 1 ) \ times m matrix G whose columns are the homogeneous coordinates of these points.
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Is considered as graded module over the homogeneous coordinate ring of the projective space, and a minimal free resolution taken.
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Rotations in such spaces using these generalisations of quaternions, called rotors, can be very useful for applications involving homogeneous coordinates.
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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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