affine transformation

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  • If two points are oblique reflections of each other, they will still stay so under affine transformations.
  • Also, sets of parallel lines remain parallel after an affine transformation.
  • Other methods can handle problems such as translation, scale, image rotation and even all affine transformations.
  • An ellipse can be seen as an image of the unit circle under an affine transformation.
  • An affine transformation is fit between the image of the currently tracked feature and its image from a non-consecutive previous frame.
  • The bias term allows us to make affine transformations to the data.
  • This is because the horseshoe maps the left cap into itself by an affine transformation that has exactly one fixed point.
  • In fact, all triangles are related to one another by affine transformations.
  • Each of the leaves of the fern is related to each other leaf by an affine transformation.
  • The fact that affine transformations preserve equidissections also means that certain results can be easily generalized.
  • This means that one is free to apply any affine transformation to a polygon that might give it a more manageable form.
  • The magnitude differences are not relevant however as scores remain proper under affine transformation.
  • These identifications are always given by affine transformations from one tangent plane to another.
  • These are precisely the affine transformations with the property that the image of every line L is a line parallel to L.
  • A translation is an affine transformation with no fixed points.
  • Affine transformations are applied to these polytopes, producing a description of a new execution order.
  • This solution is an affine transformation of a regular hexagon but larger numbers of points have solutions that include interior points of the square.
  • In addition, to strengthen the S-Box against algebraic attacks, the affine transformation was added.
  • Under an affine transformation of the variable (X), the value of S does not change except for a possible change in sign.
  • Self concordance is preserved under addition, affine transformations, and scalar multiplication by a value greater than one.
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How affine transformation gets used