Journal
IEEE TRANSACTIONS ON IMAGE PROCESSING
Volume 16, Issue 6, Pages 1481-1495Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIP.2007.896637
Keywords
image interpolation; image morphing; image warping; mass preserving mapping; Monge-Kantorovich flow; optimal transport
Funding
- NATIONAL CENTER FOR RESEARCH RESOURCES [P41RR013218] Funding Source: NIH RePORTER
- NATIONAL INSTITUTE OF BIOMEDICAL IMAGING AND BIOENGINEERING [U54EB005149] Funding Source: NIH RePORTER
- NCRR NIH HHS [P41 RR013218, P41 RR-13218] Funding Source: Medline
- NIBIB NIH HHS [U54 EB005149] Funding Source: Medline
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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 L-2 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.
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