Geodesics in Shape Space via Variational Time Discretization
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Earth Mover’s morphing: topology-free shape morphing using cluster-based EMD flows
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part IV
A Continuum Mechanical Approach to Geodesics in Shape Space
International Journal of Computer Vision
Displacement interpolation using Lagrangian mass transport
Proceedings of the 2011 SIGGRAPH Asia Conference
Transportation Distances on the Circle
Journal of Mathematical Imaging and Vision
Generalized Monge-Kantorovich Optimization for Grid Generation and Adaptation in $L_{p}$
SIAM Journal on Scientific Computing
Image Morphing in Frequency Domain
Journal of Mathematical Imaging and Vision
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Image morphing, or image interpolation in the time domain, deals with the metamorphosis of one image into another. In this paper, a new class of image morphing algorithms is proposed based on the theory of optimal mass transport. The L2 mass moving energy functional is modified by adding an intensity penalizing term, in order to reduce the undesired double exposure effect. It is an intensity-based approach and, thus, is parameter free. The optimal warping function is computed using an iterative gradient descent approach. This proposed morphing method is also extended to doubly connected domains using a harmonic parameterization technique, along with finite-element methods