Fig. 5

The estimated displacement fields using (C _B ,S _B )=(25,55) pixels: a \(d_{c}^{u}\), b \(d_{c}^{v}\) as a function of x and y on the 512 × 512 pixels phantom image. The imposed displacement fields are shown in 3 b–c. c Error e ^u in the horizontal displacement field plotted at every pixel location (x,y) for (C _B ,S _B )=(25,55). d Error in the vertical displacement field (e ^v) plotted at every pixel location (x,y) for (C _B ,S _B )=(25,55). The white lines in c) and d) correspond to |d ^u|=3 pixels and |d ^v|=3 pixels, respectively. The boundaries of the myocardium, i.e. the grid-like region in the 512 × 512 pixels phantom image are marked approximately by the black circles. The colorbars in c) and d) are saturated at an error of 0.2 to bring out the features in the plots clearly