| 1. | The homography group on this projective line is the modular group.
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| 2. | A central collineation is a homography defined by a diagonalizable.
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| 3. | The case of the complex number field has the M�bius group as its homography group.
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| 4. | In fact, every homography is the composition of a finite number of central collineations.
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| 5. | The common spelling of this given name in different languages is a case of interlingual homography.
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| 6. | In particular, the only homography fixing the points of a frame is the identity map.
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| 7. | The homography group on this projective line has 12 elements, also described with matrices or as permutations.
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| 8. | The homography matrix can only be computed between images taken from the same camera shot at different angles.
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| 9. | The composition of two central collineations, while still a homography in general, is not a central collineation.
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| 10. | A homography of a projective line may also be properly defined by insisting that the mapping preserves cross-ratios.
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