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Bicubic-interpolation

This repository is for simple implementation of 'Bicubic-interpolation for images' (Python3).

Table of contents

Formulation

  • Interpolation kernel [1]
    Formulation

  • Interpolation
    Use the values of 16 pixels around the new pixel dst(x,y) [1][2]. (x,y) shows the location of pixels. Formulation2
    Here, f means the values of pixels. x1, x2, x3, x4 are the distance of x direction from new pixel to near 16 pixels. y1, ... are the distance of y direction.

Example

  • Upscale input image 2 times (ratio = 2)
    The 'butterfly' image is from [3].
    Input image
    ↑ Input image (256x256)
    Output image
    ↑ Output image (512x512)

Requirement

  • Python 3.5.2 or more

Installation

$ git clone https://github.com/rootpine/Bicubic-interpolation.git

Usage

  1. $ python3 bicubic.py

Reference

  1. R. Keys, "Cubic convolution interpolation for digital image processing," in IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 29, no. 6, pp. 1153-1160, December 1981. URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1163711&isnumber=26156
  2. 奥富正敏ら, "ディジタル画像処理[改定新版]", CG-ARTS協会, pp. 170-171, 2016.
  3. M. Bevilacqua, A. Roumy, C. Guillemot and ML. Alberi, "Low-Complexity Single-Image Super-Resolution based on Nonnegative Neighbor Embedding",BMVC 2012.
  4. https://github.com/yunabe/codelab/blob/master/misc/terminal_progressbar/progress.py to show the progress.

Author

@rootpine