From 46c9af538a3b5436b80f5caec5dd7de7d2d9f661 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Robert=20J=C3=A4schke?= Date: Sun, 21 Jul 2024 14:16:37 +0200 Subject: [PATCH] +color image --- ...24-07-21-fragmenting-the-tile-data.markdown | 13 +++++++++++++ img/subband_sizes_tiles500.png | Bin 0 -> 126247 bytes src/Cod.ipynb | 4 ++-- 3 files changed, 15 insertions(+), 2 deletions(-) create mode 100644 img/subband_sizes_tiles500.png diff --git a/_posts/2024-07-21-fragmenting-the-tile-data.markdown b/_posts/2024-07-21-fragmenting-the-tile-data.markdown index fce1935..02d16e1 100644 --- a/_posts/2024-07-21-fragmenting-the-tile-data.markdown +++ b/_posts/2024-07-21-fragmenting-the-tile-data.markdown @@ -81,6 +81,19 @@ the following sub-bands improves the image quality step-by-step by adding more details which supports progressing loading and display of images. +For comparison, here's the plot for the 2240 colour tiles of size +500x500: + +![sub-band sizes for the 2240 colour tiles of size 500x500](/img/subband_sizes_tiles500.png) + +Here the most frequent number of part (36) does not fit to the +abovementioned formula but we also have colour images, thus three +components (probably [YCbCr](https://en.wikipedia.org/wiki/YCbCr)). I +suppose that the Y component (luma) is encoded in more detail (=higher +depth) than the colour components. For example, having depth 5 for +luma and depth 3 for Cb and Cr each, would result in 36 sub-bands (3 * +5 + 1 + (2 * (3 * 3 + 1)). + A good starting point for further reading is Chapter 16 "Wavelet-Based Image Compression" of the book [Introduction to Data Compression](https://doi.org/10.1016/C2010-0-69630-1) by Khalid diff --git a/img/subband_sizes_tiles500.png b/img/subband_sizes_tiles500.png new file mode 100644 index 0000000000000000000000000000000000000000..59086c6ff7afe3bf3faa382f5cf35787427163f9 GIT binary patch literal 126247 zcmd?RXIN8P8!fs3DblObqzDRv^dizlkO)YV(0lKoR4D;OK$&b{Y8=lr<$*Uc06_K7QV%{Av+#yj3I6RxhRNJ2;BZm+TF|SxfSrl%-z+|#of`)oW;}XxtpDfvk>n+ zUctL8w(jn(ZsL4=PJb`pb$M>XcgJWx03771D@4x?0BBxc{K5K$ko^E)0l;JV2U^}~ zYf~>`*_ZX0&s?n2jYf_9bx=}Lhikq4#`?wD_{ygIJF_fnuCH#rC-_W*g;z%UI`C%z zwJCwbU7Q{a)t8R=SaR|}9&(l-_BT`M>7#2U*4ADdzG&&f!qugc2Cm&h#j(^x50m$! zoqjSD-?VhBnp~h>G4IeDyOO0ja5&-3Kd&s(IIk02a*BUmgV`ZL)PMd?;X#da=kl@@ 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