Interpolation Techniques in Image Resampling

Image Interpolation and Resampling

This chapter presents a survey of interpolation and resampling techniques in the context of exact, separable interpolation of regularly sampled data. In this context, the traditional view of interpolation is to represent an arbitrary continuous function as a discrete sum of weighted and shifted synthesis functions—in other words, a mixed convolution equation. An important issue is the choice of...

Quadratic interpolation for image resampling

Nearest-neighbor, linear, and various cubic interpolation functions are frequently used in image resampling. Quadratic functions have been disregarded largely because they have been thought to introduce phase distortions. This is shown not to be the case, and a family of quadratic functions is derived. The interpolating member of this family has visual quality close to that of the Catmull-Rom c...

Image Interpolation Techniques

In this paper interpolation techniques are presented. They are compared on an accuracy and computational efficiency base. Both the interpolation kernels and frequency responses are given.

Fast discrete sinc-interpolation: a gold standard for image resampling

Mathematical Techniques for Image Interpolation

We discuss the problem of interpolating visually acceptable images at a higher resolution. We first present the interpolation problem and why linear interpolation filters are inadequate for image data. To represent the major mathematical approaches to image processing, we discuss and evaluate five different image interpolation methods. First, we present a PDE-based method derived from the aniso...