2 D Matrix Data 2 D Twodimensional data

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2 D Matrix Data 2 D

2 D Matrix Data 2 D

Two-dimensional data has two location indicators for each data point If the location indicators

Two-dimensional data has two location indicators for each data point If the location indicators are evenly spaced, the data can easily be stored as a 2 D Matrix file.

Two-dimensional data has two location indicators for each data point X 0. 5 1.

Two-dimensional data has two location indicators for each data point X 0. 5 1. 0 1. 5 Y 0. 5 1. 0 1. 5 speed 0. 0350 0. 0714 0. 3853 0. 4911 0. 2422 0. 9207 0. 5744 0. 3305 0. 8485

Two-dimensional data has two location indicators for each data point X Y 0. 5

Two-dimensional data has two location indicators for each data point X Y 0. 5 1. 0 1. 5 0. 0350 0. 0714 0. 3853 1. 0 0. 4911 0. 2422 0. 9207 1. 5 0. 5744 0. 3305 0. 8485

Organization of 2 D Matrix files There is no standard layout for 2 D

Organization of 2 D Matrix files There is no standard layout for 2 D matrix files Some standard file formats which use binary storage of data: HDF net. CDF FITS TIFF

Images as 2 D Matrix files The most common form of 2 D matrix

Images as 2 D Matrix files The most common form of 2 D matrix file is the digital image. Remember that the pixel values or intensities in an image may represent: • intensity • density • temperature • pressure • some other measurement taken on a regular grid.

Common Enhancement Techniques for Images - look up table transformations - histogram modifications -

Common Enhancement Techniques for Images - look up table transformations - histogram modifications - geometric transformations - filtering

Identity Transformation transformed pixel value TRANSFORMATION FUNCTION original pixel value

Identity Transformation transformed pixel value TRANSFORMATION FUNCTION original pixel value

Photographic Negatives transformed pixel value TRANSFORMATION FUNCTION original pixel value

Photographic Negatives transformed pixel value TRANSFORMATION FUNCTION original pixel value

Photographic Negatives:

Photographic Negatives:

Thresholding transformed pixel value TRANSFORMATION FUNCTION original pixel value

Thresholding transformed pixel value TRANSFORMATION FUNCTION original pixel value

Thresholding

Thresholding

Contrast Stretching transformed pixel value TRANSFORMATION FUNCTION LO HI original pixel value

Contrast Stretching transformed pixel value TRANSFORMATION FUNCTION LO HI original pixel value

Contrast Stretching

Contrast Stretching

Grey level Distribution plotted as a Histogram

Grey level Distribution plotted as a Histogram

Grey level Distribution plotted as a Histogram

Grey level Distribution plotted as a Histogram

Grey level Distribution plotted as a Histogram

Grey level Distribution plotted as a Histogram