Interpolation of One- and Two-Dimensional Images with Pixelwise Photon Number Conservation

Details Interpolation of One- and Two-Dimensional Images with Pixelwise Photon Number Conservation Interpolation of One- and Two-Dimensional Images with Pixelwise Photon Number Conservation

Apr 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001pasj...53..361s&link_type=abstract

Publications of the Astronomical Society of Japan, vol.53, no. 2, p. 361-380.

Astronomy and Astrophysics

Astronomy

3

Interpolation, Methods: Analytical, Methods: Numerical, Splines, Techniques: Image Processing

Scientific paper

The interpolation of one- and two-dimensional images is considered. The usual linear or cubic spline interpolations try to connect given data points. On the other hand, image data give area integrals of the radiation intensity (i.e., photon counts) over pixels. Based on variational principles, we have developed schemes of quadratic and fourth-order polynomial interpolation which reproduce the given pixelwise photon counts exactly. These methods were tested on some simple examples and showed satisfactory results.

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