Fractional Regularization Term for Variational Image Registration

Figure 1

Spectra of 𝑑-dimensional filters, 𝑑=2, 𝜂=1, 𝛼=1. (a) 𝐻(𝝎) for diffusion (𝜎=1), (b) 𝐻(𝝎) for the hybrid case (𝜎=1.5), (c) 𝐻(𝝎) for curvature (𝜎=2), (d) comparison of the frequency responses.

(a)

(b)

(c)

(d)