2016
DOI: 10.1016/j.compbiomed.2016.07.013
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Automatic deformable surface registration for medical applications by radial basis function-based robust point-matching

Abstract: Deformable surface mesh registration is a useful technique for various medical applications, such as intra-operative treatment guidance and intra- or inter-patient study. In this paper, we propose an automatic deformable mesh registration technique. The proposed method iteratively deforms a source mesh to a target mesh without manual feature extraction. Each iteration of the registration consists of two steps, automatic correspondence finding using robust point-matching (RPM) and local deformation using a radi… Show more

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Cited by 8 publications
(9 citation statements)
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“…After rigidly aligning the resulting vector displacements and mapping source vertices to the target mesh, non-rigid registration of the source mesh onto the target mesh is applied. In a first step we approximate remaining vector displacements mapping source vertices to the target mesh using a non-rigid transformation, modelled as a sum of N c Gaussian Radial Basis Functions (G-RBF) with variable γ defining the width of the Gaussian function (Carr et al 2001;Chui and Rangarajan 2003;de Boer et al 2007;Kim et al 2016):…”
Section: Dense Landmarking Of Manual Segmentationsmentioning
confidence: 99%
“…After rigidly aligning the resulting vector displacements and mapping source vertices to the target mesh, non-rigid registration of the source mesh onto the target mesh is applied. In a first step we approximate remaining vector displacements mapping source vertices to the target mesh using a non-rigid transformation, modelled as a sum of N c Gaussian Radial Basis Functions (G-RBF) with variable γ defining the width of the Gaussian function (Carr et al 2001;Chui and Rangarajan 2003;de Boer et al 2007;Kim et al 2016):…”
Section: Dense Landmarking Of Manual Segmentationsmentioning
confidence: 99%
“…The surface distance is lesser for surfaces registered with proposed algorithm but this can be due to smaller value of stiffness parameter alpha. Other authors using non-rigid ICP, obtaining a distance of the surface, varying within 3 orders of magnitude: from thousandth of a millimeter RMS 0.0037 mm [ 5 ], through a fraction of a millimeter RMS 0.47 mm [ 15 ] to a few millimeters RMS 1.61 mm [ 8 ] and RMS 3.39 mm [ 10 ]. Lack of information on the adopted stiffness factor makes a direct comparison of numerical values unjustified.…”
Section: Discussionmentioning
confidence: 99%
“…First, the corresponding points pairs finding stage was changed. Instead of using the plain Euclidean distance norm presented by [ 2 ], we modified the norm as equation [ 15 ] states. To calculate the correspondents distance weighting matrix , a point localization error is needed in the form of standard deviations on principal axes.…”
Section: Methodsmentioning
confidence: 99%
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“…Our study proposal included three ANNs that differed according to the basis function used: product unit neural network (PUNN) [15], sigmoid unit neural network (SUNN) [8], and finally, the radial basis function neural network (RBFNN) [16]. All these methods have been widely used in biomedicine since 1990 and are still in use today: see [17][18][19] for RBFNN, [20][21][22] for MLP or SUNN and [23,24] for PUNN. Finally, all these ANN models have been proven to be universal approximators [8].…”
Section: Introductionmentioning
confidence: 99%