How to get rotation, translation, shear from a 3x3 Homography matrix in c#

问题

I calculated the 3x3 homography matrix and I need to get rotation, translation, shear and scale to use them as parameters in the windows8 media element attributes ?!

回答1:

see https://math.stackexchange.com/questions/78137/decomposition-of-a-nonsquare-affine-matrix

def getComponents(normalised_homography):
  '''((translationx, translationy), rotation, (scalex, scaley), shear)'''
  a = normalised_homography[0,0]
  b = normalised_homography[0,1]
  c = normalised_homography[0,2]
  d = normalised_homography[1,0]
  e = normalised_homography[1,1]
  f = normalised_homography[1,2]

  p = math.sqrt(a*a + b*b)
  r = (a*e - b*d)/(p)
  q = (a*d+b*e)/(a*e - b*d)

  translation = (c,f)
  scale = (p,r)
  shear = q
  theta = math.atan2(b,a)

  return (translation, theta, scale, shear)

来源：https://stackoverflow.com/questions/15420693/how-to-get-rotation-translation-shear-from-a-3x3-homography-matrix-in-c-sharp