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Journal article

Linear interpolation revitalized.

  • Blu T Biomedical Imaging Group FSTI/IOA, Swiss Federal Institute of Technology Lausanne (EPFL), CH-1015 Lausanne EPFL, Switzerland. thierry.blu@epfl.ch
  • Thévenaz P
  • Unser M
  • 2004-09-21
Published in:
  • IEEE transactions on image processing : a publication of the IEEE Signal Processing Society. - 2004
Algorithms
Feedback
Image Enhancement
Image Interpretation, Computer-Assisted
Information Storage and Retrieval
Linear Models
Numerical Analysis, Computer-Assisted
Pattern Recognition, Automated
Reproducibility of Results
Sensitivity and Specificity
Signal Processing, Computer-Assisted
Subtraction Technique
Video Recording
English We present a simple, original method to improve piecewise-linear interpolation with uniform knots: we shift the sampling knots by a fixed amount, while enforcing the interpolation property. We determine the theoretical optimal shift that maximizes the quality of our shifted linear interpolation. Surprisingly enough, this optimal value is nonzero and close to 1/5. We confirm our theoretical findings by performing several experiments: a cumulative rotation experiment and a zoom experiment. Both show a significant increase of the quality of the shifted method with respect to the standard one. We also observe that, in these results, we get a quality that is similar to that of the computationally more costly "high-quality" cubic convolution.
Language
  • English
Open access status
green
Identifiers
Persistent URL
https://sonar.ch/global/documents/187593
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