01348nas a2200133   4500008004100000245007600041210006900117260003900186300001600225520082400241100001701065700001701082856011501099       2013                        eng d00aCorrespondence-less non-rigid registration of triangular surface meshes0 aCorrespondenceless nonrigid registration of triangular surface m  aPortland, OR, USAbIEEEcJune 2013  a2275 - 22823 a<p>A novel correspondence-less approach is proposed to find a thin plate spline map between a pair of deformable 3D objects represented by triangular surface meshes. The proposed method works without landmark extraction and feature correspondences. The aligning transformation is found simply by solving a system of nonlinear equations. Each equation is generated by integrating a nonlinear function over the object's domains. We derive recursive formulas for the efficient computation of these integrals. Based on a series of comparative tests on a large synthetic dataset, our triangular mesh-based algorithm outperforms state of the art methods both in terms of computing time and accuracy. The applicability of the proposed approach has been demonstrated on the registration of 3D lung CT volumes. © 2013 IEEE.</p>1 aSanta, Zsolt1 aKato, Zoltan  uhttps://www.inf.szte.hu/en/publication/correspondence-less-non-rigid-registration-of-triangular-surface-meshes