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@ARTICLE{Pflugfelder:874924,
      author       = {Pflugfelder, Daniel and Scharr, Hanno},
      title        = {{P}ractically {L}ossless {A}ffine {I}mage {T}ransformation},
      journal      = {IEEE transactions on image processing},
      volume       = {29},
      issn         = {1941-0042},
      address      = {New York, NY},
      publisher    = {IEEE},
      reportid     = {FZJ-2020-01708},
      pages        = {5367 - 5373},
      year         = {2020},
      abstract     = {In this contribution we introduce an almost lossless affine
                      2D image transformation method. To this end we extend the
                      theory of the well-known Chirp-z transform to allow for
                      fully affine transformation of general n-dimensional images.
                      In addition we give a practical spatial and spectral
                      zero-padding approach dramatically reducing losses of our
                      transform, where usual transforms introduce blurring
                      artifacts due to sub-optimal interpolation. The proposed
                      method improves the mean squared error by approx. a factor
                      of 1800 compared to the commonly used linear interpolation,
                      and by a factor of 250 to the best competitor. We derive the
                      transform from basic principles with special attention to
                      implementation details and supplement this paper with python
                      code for 2D images. In demonstration experiments we show the
                      superior image quality compared to usual approaches, when
                      using our method. However runtimes are considerably larger
                      than when using toolbox algorithms.},
      cin          = {IBG-2},
      ddc          = {620},
      cid          = {I:(DE-Juel1)IBG-2-20101118},
      pnm          = {582 - Plant Science (POF3-582) / DPPN - Deutsches Pflanzen
                      Phänotypisierungsnetzwerk (BMBF-031A053A)},
      pid          = {G:(DE-HGF)POF3-582 / G:(DE-Juel1)BMBF-031A053A},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {32224458},
      UT           = {WOS:000561102200004},
      doi          = {10.1109/TIP.2020.2982260},
      url          = {https://juser.fz-juelich.de/record/874924},
}