Method
Given two input images and :
Apply a window function (e.g., a Hamming window) on both images to reduce edge effects. Then, calculate the discrete 2D Fourier transform of both images.
Calculate the cross-power spectrum by taking the complex conjugate of the second result, multiplying the Fourier transforms together elementwise, and normalizing this product elementwise.
Obtain the normalized cross-correlation by applying the inverse Fourier transform.
Determine the location of the peak in .
Commonly, interpolation methods are used to estimate the peak location to non-integer values, despite the fact that the data are discrete. Because the Fourier representation of the data has already been computed, it is especially convenient to use the Fourier shift theorem with real-valued shifts for this purpose. It is also possible to infer the peak location from phase characteristics in Fourier space without the inverse transformation, as noted by Stone
Read more about this topic: Phase Correlation
Famous quotes containing the word method:
“If all feeling for grace and beauty were not extinguished in the mass of mankind at the actual moment, such a method of locomotion as cycling could never have found acceptance; no man or woman with the slightest aesthetic sense could assume the ludicrous position necessary for it.”
—Ouida [Marie Louise De La Ramée] (1839–1908)
“Methinks the human method of expression by sound of tongue is very elementary, & ought to be substituted for some ingenious invention which should be able to give vent to at least six coherent sentences at once.”
—Virginia Woolf (1882–1941)
“... the one lesson in the ultimate triumph of any great actress has been to enforce the fact that a method all technique or a method all throes, is either one or the other inadequate, and often likely to work out in close proximity to the ludicrous.”
—Mrs. Leslie Carter (1862–1937)