Paper Info
Title
Re-parameterization of a Deformation Model for Non-rigid Registration.
Abstract
In this paper we present a method for non-rigid registration of meshes. The method aligns two surfaces of deformable objects by automatically separating the deformation into a single global transformation and other local deformations. The local deformations are found by applying the deformation model proposed by Sumner (Sumner et al., 2007) that previous methods have used to register two surfaces. However, we specify a rigid transformation for each node of the deformation graph using a rotation matrix and a translation vector. With this model, unit quaternions of rotation matrices are paramterized using an homeomorphic relation between the 4D unit sphere and the 3D projective space. Therefore, the number of unknowns is reduced by half compared to the original models based on affine transformations and the optimization process is less complex. We demonstrate the efficiency of the proposed method by aligning the surfaces of data sets without any prior knowledge and assumptions about the deformation between the two surfaces.
Year
DOI
Venue
2016
10.5220/0005714300370047
VISIGRAPP (1: GRAPP)
Field
DocType
Citations 
Affine transformation,Computer vision,Rotation matrix,Computer science,Quaternion,Rigid transformation,Artificial intelligence,Deformation (mechanics),Translation (geometry),Geometry,Projective space,Unit sphere
Conference
0
PageRank 
References 
Authors
0.34
22
3
Name
Order
Citations
PageRank
Van-Toan Cao1113.07
Trung-Thien Tran2113.75
Denis Laurendeau3803169.72