Moving templates
Laurent Younes
Ecole Normale Supérieure, France
CMLA
Many situations in image analysis involve modeling sets of visual objects—such as images, shapes, or point patterns—that may be affected by deformations. Following the seminal framework of Grenander’s deformable template theory, we have developed, over the past decade, theoretical and numerical methods to analyze the action of diffeomorphisms on geometric structures, including landmarks, shapes, and images.
The fundamental assumption of deformable template theory is that observable objects belong to the orbit of a fixed template under the action of a group of diffeomorphisms. In this talk, we adopt a slightly different perspective, allowing the base point of the deformation (the template) itself to vary through a process known as metamorphosis.
We describe how to construct these “deformable templates with moving templates” and examine their metric and geometric properties in several cases of interest.
Presentation Files (Zip Archive)