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Computer Science
CS101 Lecture 13: Image Compression
Vector Graphics Compression Techniques Aaron Stevens ([email protected]) 22 February 2013
Computer Science
What You’ll Learn Today
Review: how big are image files? How can we make image files smaller? What are the main image file formats, and how
are they different from each other? What are the main techniques for compressing
images?
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Computer Science
Image File Size: HUGE!
Raster/Bitmap Graphics Storage of data on a pixel-by-pixel basis
Bitmap (BMP), GIF, JPEG, and PNG, for example
How much data is required to represent a picture? Typical size might be 1024 by 768 pixels (~ 800,000) At 3 bytes per pixel, about 2,400,000 bytes for one picture.
A 10Mpixel picture would be 30,000,000 bytes per picture.
Computer Science
Consider download times…
Example: A 10Mpixel picture would be 30,000,000 bytes This is 240,000,000 bits. Typical home cable modem downloads at 5 Mbits per second
(5,000,000 bits per second).
How long to download this picture? 240,000,000 / 5,000,000 = 48 seconds
Average download speed on 3G networks is closer to 1MB/second. http://www.cnn.com/2011/TECH/mobile/02/18/att.verizon.3g.speed.wired/index.html
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Computer Science
Describe this picture…
This image was a homework assignment by a CS108 student, Spring 2008.
Vector Graphics describes an image by coordinates, lines, geometric shapes and colors.
Computer Science
Vector Graphics Example
Instructions written in Python by CS108 student (Spring 2010). File size: 29743 bytes.
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Computer Science
Vector Graphics
Advantages: Small file sizes (instructions take much less space than
sampling pixels) Easy to resize mathematically without loss of detail
Disadvantages:
Image shapes are not lifelike Color contrast and texturing are rigid, not lifelike Requires software to interpret the drawing instructions
Computer Science Raster vs. Vector Graphics
When would you use each?
Drawings, Diagrams, Games, etc.
Photography, video, etc.
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Computer Science Storing an image in fewer bytes What are our choices? What are reasonable tradeoffs? Raster Graphics vs. Vector Graphics? Decrease sampling rate (fewer pixels) Decrease quantization (fewer colors) Compression algorithms
Computer Science What is the output resolution? iPhone 3 has a resolution of 640 X 960 pixels. Evo has 480 X 800 pixels. Facebook pictures (in web browser) are 560 X 750
pixels.
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Computer Science
Lower Image Resolution?
Original bitmap image dimensions: 1524 * 2034 = 3,099,816 pixels 3,099,816 pixels * 3 bytes = 9,299,448 bytes
How about 300 * 400 pixels? 300 * 400 pixels = 120,000 pixels 120,000 pixels * 3 bytes = 360,000 bytes
A compression ratio of 0.038. What’s the catch?
Computer Science
Fewer Colors: GIF Images
Graphics Interchange Format (GIF) Each image is made up of any 256 (or 16) RGB colors, but only those colors. 256 colors: 8 bits per pixel 16 colors: 4 bits per pixel
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Computer Science
16 Color GIF 120,000 bytes
256 Color GIF 200,000 bytes
Original BMP 360,000 bytes
Fewer Colors: GIF Images
Computer Science
Compress them! How do you fit more cars on this lot?
Data compression Reduction in the amount of space needed to store a piece of data.
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Computer Science
Data Compression (saving space)
Data compression Reduction in the amount of space needed to store a piece of data. Data compression techniques can be:
lossless, which means the data can be retrieved without any loss of the original information
lossy, which means some information may be lost in the process of compaction
Computer Science
JPEG Images
The Joint Photographic Experts Group created the standard codec in 1992. Default format on most digital cameras Compression reduces file size up to 90% with
little loss in visible quality Great for life-like images the web
Is JPEG compression lossy or lossless?
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Recall: RGB Colorspace
=
RGB has a lot of redundant information.
JPEG uses the YCbCr Colorspace
Y (luminance)
Cb (chroma blue)
Cr (chroma red)
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Computer Science YCbCr Colorspace
YCbCr separates luminance (brightness) from chroma (color differences). Our eyes are more sensitive to changes in luma
than to changes in chroma.
JPEG thus stores a high resolution Y, and lower-resolution CbCr. Smoothing colors among adjacent pixels.
Computer Science
JPEG Color Smoothing
This image is progressively more less smoothed from left to right (lowest to highest quality).
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Computer Science
JPEG Compression
Convert color space from RGB to YCbCr Smooth adjacent colors in Cb/Cr Apply Huffman compression after smoothing
Which part of this is lossy compression?
Computer Science
PNG Image Format
Portable Network Graphics (PNG) 24-bit bitmapped color. Uses lossless compression.
2-stage compression process: 1. Filter image by adjacent pixels,
record the differences 2. Use the DEFLATE algorithm
(Huffman encoding scheme)
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Computer Science Same Picture, Many Formats Original image was
2048 * 1536 pixels All others are
300 * 400 pixels
Computer Science
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Computer Science
What You Learned Today
Vector graphics vs. raster graphics Factors in image file size
Resolution, color depth
Compression strategies Reduce colors Reduce resolution Lossless compression algorithms Lossy compression algorithms
GIF, JPEG, and PNG
Computer Science
Announcements and To Do
HW06 due Wednesday 2/27 Readings:
Wong ch 3, pp 66-86 (today) Wong ch 4, pp 102-117 (next week)
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Computer Science Image Manipulation Software
There are many different image manipulation software packages, e.g.: Paint – Built in to windows Photoshop – Commercial software Irfanview – Free software Paintshop Pro – Shareware/Commercial GIMP – Free software
Computer Science
Example: Text Compression
Problem: Unicode assigns 16 bits to each character in a document; uses a heck of a lot of space. We need ways to store and transmit text efficiently. Why? Common lossless compression techniques:
keyword encoding run-length encoding Huffman encoding
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Computer Science
Keyword Encoding
Replace frequently used words with a single character
Computer Science
Keyword Encoding Example
Given the following paragraph, We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness. That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed, That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness.
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Computer Science
Keyword Encoding Example
The encoded paragraph is We hold # truths to be self-evident, $ all men are created equal, $ ~y are endowed by ~ir Creator with certain unalienable Rights, $ among # are Life, Liberty + ~ pursuit of Happiness. — $ to secure # rights, Governments are instituted among Men, deriving ~ir just powers from ~ consent of ~ governed, — $ whenever any Form of Government becomes destructive of # ends, it is ~ Right of ~ People to alter or to abolish it, + to institute new Government, laying its foundation on such principles + organizing its powers in such form, ^ to ~m shall seem most likely to effect ~ir Safety + Happiness.
Computer Science
Keyword Encoding
Compression ratio The size of the compressed data divided by the size of the original data (0 < c.r. <= 1) What did we save?
Original paragraph: 656 characters Encoded paragraph: 596 characters Characters saved: 60 characters Compression ratio: 596/656 = 0.9085
Could we use this substitution chart for all text? How could we apply keyword encoding to images?
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Computer Science
Run-Length Encoding
Consider a single character which is repeated over and over again in a long sequence. Replace a repeated sequence with
a flag character repeated character number of repetitions
Example: *n8 * is the flag character n is the repeated character 8 is the number of times n is repeated
Computer Science Run-Length Encoding Example
Original text bbbbbbbbjjjkllqqqqqq+++++
Encoded text *b8jjjkll*q6*+5 (Why isn't l encoded? J?)
The compression ratio is 15/25 or .6
Encoded text *x4*p4l*k7
Original text xxxxpppplkkkkkkk
This type of repetition isn’t very helpful for English text. Can you think of a situation where it might be helpful?
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Computer Science Run-Length Encoding Example
How would you describe the colors in this image?
Computer Science Which letters occur most?
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Computer Science
Huffman Encoding
Why should the character “X" and "z" take up the same number of bits as "e" or " "? Huffman codes use variable-length bit strings to represent each character.
More frequently used letters have fewest bits.
Computer Science
Huffman Encoding Example
ballboard would be 1010001001001010110001111011!
!
Encoded is 28 bits vs 144 bits with Unicode; The compression ratio is 28/144 or 0.39 Try to encode roadbed
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Computer Science
Huffman Encoding
Prefix Property No character's bit string is the prefix of any other character's bit string. To decode
look for match left to right, bit by bit record letter when a match is found begin next character where you left off
Computer Science
Huffman Encoding Example
Decode!!1011111001010!
Try it!
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Computer Science
Huffman Encoding
The technique for creating codes guarantees the prefix property of the codes. There is no single “Huffman code” -- each depends on the application. Two types of Huffman codes:
general, based on use of letters in English, Spanish, …. specialized, based on text itself or specific types of text