Simultaneous Registration and Modeling of Deformable Shapes

Many natural objects vary the shapes as linear combinations of certain bases. The measurement of such deformable shapes is coupling of rigid similarity transformations between the objects and the measuring systems and non-rigid deformations controlled by the linear bases. Thus registration and modeling of deformable shapes are coupled problems, where registration is to compute the rigid transformations and modeling is to construct the linear bases. The previous methods [3, 2] separate the solution into two steps. The first step registers the measurements regarding the shapes as rigid and the deformations as random noise. The second step constructs the linear model using the registered shapes. Since the deformable shapes do not vary randomly but are constrained by the underlying model, such separate steps result in registration biased by nonrigid deformations and shape models involving improper rigid transformations. We for the first time present this bias problem and formulate that, t...

• Type: Conference
• Year: 2006
• Where: CVPR
• Authors: Jing Xiao, Bogdan Georgescu, Xiang Zhou, Dorin Comaniciu, Takeo Kanade
• Keywords: Computer Vision, CVPR 2006, Deformable Shapes, Improper Rigid Transformations, Linear Bases, Linear Closedform Solution, Rigid Similarity Transformations