3.8 Proceedings Paper

Nonlinear Spectral Image Fusion

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/978-3-319-58771-4_4

Keywords

Nonlinear spectral decomposition; Total variation regularization; Image fusion; Image composition; Multiscale methods

Funding

  1. EPSRC [EP/M00483X/1, EP/N014588/1]
  2. Leverhulme Trust
  3. Newton Trust
  4. German Research Foundation (DFG) [GRK 1564]
  5. Israel Science Foundation [718/15]
  6. ERC via Grant EU FP 7 - ERC Consolidator Grant [615216]
  7. Cantab Capital Institute for the Mathematics of Information
  8. CHiPS (Horizon RISE project grant)
  9. ERC Consolidator Grant 3D Reloaded
  10. EPSRC [EP/M00483X/1, EP/N014588/1] Funding Source: UKRI
  11. European Research Council (ERC) [615216] Funding Source: European Research Council (ERC)

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In this paper we demonstrate that the framework of non-linear spectral decompositions based on total variation (TV) regularization is very well suited for image fusion as well as more general image manipulation tasks. The well-localized and edge-preserving spectral TV decomposition allows to select frequencies of a certain image to transfer particular features, such as wrinkles in a face, from one image to another. We illustrate the effectiveness of the proposed approach in several numerical experiments, including a comparison to the competing techniques of Poisson image editing, linear osmosis, wavelet fusion and Laplacian pyramid fusion. We conclude that the proposed spectral TV image decomposition framework is a valuable tool for semi-and fully-automatic image editing and fusion.

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