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An image morphing technique based on optimal mass preserving mapping.

Lei Zhu1, Yan Yang, Steven Haker

  • 1Department of Biomedical Engineering and the School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332 USA. zlzl@ece.gatech.edu

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|June 6, 2007
PubMed
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This study introduces a novel image morphing algorithm using optimal mass transport to smoothly transform one image into another. The method reduces visual artifacts like double exposure without requiring manual parameter tuning.

Area of Science:

  • Computer Vision
  • Image Processing
  • Computational Mathematics

Background:

  • Image morphing involves transforming one image into another over time.
  • Existing methods can suffer from visual artifacts such as double exposure.
  • Parameter-free approaches are desirable for simplifying the morphing process.

Purpose of the Study:

  • To propose a new class of image morphing algorithms.
  • To reduce the double exposure effect in image metamorphosis.
  • To extend morphing techniques to complex, doubly connected domains.

Main Methods:

  • Utilizing the theory of optimal mass transport.
  • Modifying the L(2) mass moving energy functional with an intensity penalizing term.
  • Employing an iterative gradient descent approach to compute the optimal warping function.

Related Experiment Videos

  • Extending the method to doubly connected domains via harmonic parameterization and finite-element methods.
  • Main Results:

    • A parameter-free, intensity-based image morphing algorithm is presented.
    • The proposed method effectively reduces the double exposure artifact.
    • The algorithm demonstrates applicability to complex geometric domains.

    Conclusions:

    • The novel optimal mass transport-based morphing approach offers an effective solution for image metamorphosis.
    • The intensity penalizing term significantly improves visual quality by mitigating double exposure.
    • The extension to doubly connected domains broadens the applicability of the technique.