Interpolation of One - and Two-Dimensional Images with Pixelwise Photon Number Conservation
Takashi Sakurai, Junho Shin · Publications of the Astronomical Society of Japan · 2001
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.