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Digital Image Processing Chapter 2: Digital Image Fundamentals
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Elements of Visual Perception Structure of the human eye
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Rods and cones in the retina
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Image formation in the eye
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Brightness adaptation and discrimination
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Brightness discrimination
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Weber ratio
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Perceived brightness
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Simultaneous contrast
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Optical illusion
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Light and the Electromagnetic Spectrum
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Wavelength
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Image Sensing and Acquisition
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Image acquisition using a single sensor
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Using sensor strips
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A simple image formation model
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Illumination and reflectance Illumination and transmissivity
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Image Sampling and Quantization
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Sampling and quantization
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Representing digital images
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Saturation and noise
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Number of storage bits
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Spatial and gray-level resolution
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Subsampled and resampled
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Reducing spatial resolution
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Varying the number of gray levels
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N and k in different-details images
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Isopreference
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Interpolations
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Zooming and shrinking
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Some Basic Relationships Between Pixels Neighbors of a pixel : 4-neighbors of p,,, : four diagonal neighbors of p,,, : 8-neighbors of p and
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Adjacency : The set of gray-level values used to define adjacency 4-adjacency: Two pixels p and q with values from V are 4-adjacency if q is in the set 8-adjacency: Two pixels p and q with values from V are 8-adjacency if q is in the set
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m-adjacency (mixed adjacency): Two pixels p and q with values from V are m-adjacency if q is in, or q is in and the set has no pixels whose values are from V
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Subset adjacency S1 and S2 are adjacent if some pixel in S1 is adjacent to some pixel in S2 Path A path from p with coordinates to pixel q with coordinates is a sequence of distinct pixels with coordinates,, …, where =, =, and pixels and are adjacent
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Region We call R a region of the image if R is a connected set Boundary The boundary of a region R is the set of pixels in the region that have one or more neighbors that are not in R Edge Pixels with derivative values that exceed a preset threshold
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Distance measures Euclidean distance City-block distance Chessboard distance
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distance: The shortest m-path between the points
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An Introduction to the Mathematical Tools Used in Digital Image Processing Linear operation H is said to be a linear operator if, for any two images f and g and any two scalars a and b,
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Arithmetic operations Addition
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Arithmetic operations Subtraction
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Digital subtraction angiography
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Shading correction
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Image multiplication
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Set operations
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Complements
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Logical operations
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Single- pixel operations
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Neighborhood operations
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Affine transformations
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Inverse mapping
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Registration
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Vector operations
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Image transforms
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Fourier transform
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Probabilistic methods
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