Abstract of Junho Shin's Paper
Interpolation of One- and Two-Dimensional Images
with Pixelwise Photon Number Conservation
Takashi Sakurai1,2 and Junho Shin1
1 National Astronomical Observatory, Mitaka, Tokyo 181-8588
sakurai@solar.mtk.nao.ac.jp, jshin@solar.mtk.nao.ac.jp
2 National Solar Observatory, Tucson, AZ 85719-6732, U.S.A.
ABSTRACT
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.
Key Words: interpolation -- methods: analytical -- methods: numerical -- splines -- techniques: image processing