“…For example, the original “demons”(Thirion, 1998) has been enhanced to be efficient (Wang et al, 2005), inverse consistent(Yang et al, 2008) and diffeomorphic (Vercauteren et al, 2009, Yeo et al, 2010); the B-spline-based algorithm (Rueckert et al, 1999) has been extended to be hierarchical (Klein et al, 2010), diffeomorphic (Rueckert et al, 2006), and with non-uniform knot placement (Jacobson and Murphy, 2011) or with simplified regularization forms (Chun and Fessler, 2009). These improvements have facilitated the functionality of DIR in clinical settings, such as efficient contour propagation (Hardcastle et al, 2013, Chao et al, 2007), and organ segmentation even in regions with low image intensity contrast (Liu et al, 2012, Yeo et al, 2013). While these DIR algorithms may deform a treatment image to a reference image with a high similarity, they cannot guarantee accurate dose to be reconstructed on the reference image, because the dose reconstructed at each image voxel also depends on the dose mapping method used (Siebers and Zhong, 2008).…”