Title
Image Morphing In Deep Feature Spaces: Theory And Applications
Abstract
This paper combines image metamorphosis with deep features. To this end, images are considered as maps into a high-dimensional feature space and a structure-sensitive, anisotropic flow regularization is incorporated in the metamorphosis model proposed by Miller and Younes (Int J Comput Vis 41(1):61-84, 2001) and Trouve and Younes (Found Comput Math 5(2):173-198, 2005). For this model, a variational time discretization of the Riemannian path energy is presented and the existence of discrete geodesic paths minimizing this energy is demonstrated. Furthermore, convergence of discrete geodesic paths to geodesic paths in the time continuous model is investigated. The spatial discretization is based on a finite difference approximation in image space and a stable spline approximation in deformation space; the fully discrete model is optimized using the iPALM algorithm. Numerical experiments indicate that the incorporation of semantic deep features is superior to intensity-based approaches.
Year
DOI
Venue
2021
10.1007/s10851-020-00974-5
JOURNAL OF MATHEMATICAL IMAGING AND VISION
Keywords
DocType
Volume
Image morphing, Metamorphosis model, Variational time discretization, Mosco convergence, Convolutional neural networks
Journal
63
Issue
ISSN
Citations 
2
0924-9907
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Alexander Effland195.41
Erich Kobler201.69
Thomas Pock33858174.49
Marko Rajkovic400.68
Martin Rumpf553.15