“…It is the building block for a variety of medical image analysis tasks, such as motion correction (e.g. [Zuo et al, 1996; Bai and Brady, 2009]), multi-modality information fusion (e.g., [Meyer et al, 1997; Verma et al, 2008]), atlas-based image segmentation (e.g., [Prastawa et al, 2005; Lawes et al, 2008; Gee et al, 1993]), population studies (e.g., [Geng et al, 2009; Sotiras et al, 2009; Ou et al, 2009b; Zollei et al, 2005]), longitudinal studies (e.g., [Csapo et al, 2007; Shen and Davatzikos, 2004; Xue et al, 2006]), computational anatomy (e.g., [Joshi et al, 2004; Ashburner, 2007; Leow et al, 2007; Thompson and Apostolova, 2007]) and image-guided surgery (e.g., [Muratore et al, 2003; Gering et al, 2001; Hata et al, 1998]). During the past two decades, a large number of deformable (non-rigid) image registration methods have been developed, and several thorough reviews can be found in [Maintz and Viergever, 1998; Lester and Arridge, 1999; Hill et al, 2001; Zitova and Flusser, 2003; Pluim et al, 2003; Crum et al, 2004; Holden, 2008].…”