# projective transformations in a sentence

- The M鯾ius transformations are the
*projective transformations* of the complex projective line. - The cross-ratio is invariant under the
*projective transformations* of the line. - These include both affine transformations ( such as translation ) and
*projective transformations*. - The restriction of this
*projective transformation* to the midsphere is a M鯾ius transformation. - We see that
*projective transformations* don't mix Gaussian curvatures of different sign. - It's difficult to find
*projective transformations* in a sentence. - It is the study of geometric properties that are invariant with respect to
*projective transformations*. - Two matrices represent the same
*projective transformation* if one is a constant multiple of the other. *Projective transformations* are represented by matrices.- :Cross-ratio is a projective invariant i . e . it is unchanged by
*projective transformations*. - But I'm working with
*projective transformations* now, and these volume elements aren't preserved. - Finally, define H = H _ 2H _ 1 as the
*projective transformation* for rectifying the first image. - Judd determined that a more uniform color space could be found by a simple
*projective transformation* of the CIEXYZ tristimulus values: - The simplest technique is applying only
*projective transformation* to the images for each eye ( simulating rotation of the eye ). - Thus the group of
*projective transformations* is the quotient of the general linear group by the scalar matrices called the projective linear group. - by means of a suitable
*projective transformation* ( normal forms for singular quadrics can have zeros as well as ? as coefficients ).