Introduction to Digital Image Processing by William K. Pratt

By William K. Pratt

The topic of electronic picture processing has migrated from a graduate to a junior or senior point direction as scholars develop into more adept in mathematical historical past prior of their collage schooling. With that during brain, Introduction to electronic snapshot Processing is less complicated when it comes to mathematical derivations and gets rid of derivations of complicated topics. most significantly, the textbook comprises an intensive set of programming workouts for students.

The textbook examines the elemental applied sciences had to help photograph processing purposes, together with the characterization of constant pictures, photograph sampling and quantization thoughts, and two-dimensional sign processing concepts. It then covers the 2 precept parts of photograph processing: photo enhancement and recovery ideas and extraction of knowledge from a picture. It concludes with discussions of picture and video compression.

  • Covers the mathematical illustration of constant photographs and discrete images
  • Discusses the psychophysical houses of human vision
  • Analyzes and compares linear processing options applied by means of direct convolution and Fourier area filtering
  • Details recovery types, element and spatial recovery and geometrical picture modification
  • Includes morphological picture processing, facet detection, photo characteristic extraction, picture segmentation, item form research, and item detection
  • Describes coding procedure acceptable to nonetheless snapshot and video coding dependent upon element and spatial processing
  • Outlines the generally followed JPEG and MPEG nonetheless picture and video coding standards

The author’s available kind presents historic history at the improvement of picture processing concepts in addition to a theoretical exposition. The inclusion of various workouts totally prepares scholars for additional study.

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Extra resources for Introduction to Digital Image Processing

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The output image function is given by the convolution integral G ( x, y ) = ∞ ∞ –∞ –∞ F ( α, β )H ( x – α, y – β ) dα dβ . 3-19) Taking the Fourier transform of both sides of Eq. 3-19 and reversing the order of integration on the right-hand side results in G ( ω x, ω y ) = ∞ ∞ ∞ ∞ –∞ –∞ F ( α, β ) –∞ –∞ H ( x – α, y – β ) exp { –i ( ωx x + ωy y ) } dx dy dα dβ. 3-20) By the Fourier transform shift theorem of Eq. 3-13, the inner integral is equal to the Fourier transform of H ( x, y ) multiplied by an exponential phase-shift factor.

The integral over this region is the value of G(x, y) at the offset coordinate (x, y). The complete function F(x, y) could, in effect, be computed by sequentially scanning the reversed, offset impulse response across the input function and simultaneously integrating the overlapped region. 3. Differential Operators Edge detection in images is commonly accomplished by performing a spatial differentiation of the image field followed by a thresholding operation to determine points of steep amplitude change.

2-17a) 2 F ( x, y ) . 2-17b) The sum of these two spatial derivatives is called the Laplacian operator: 2 2 F ( x, y ) + ∂---------------------F ( x, y ) . 3. 3-1) – 1 . Notationally, the Fourier F ( ω x, ω y ) = O F { F ( x, y ) } . 3-3b) where 2 2 M ( ω x, ω y ) = [ R ( ω x, ω y ) + I ( ω x, ω y ) ] 1⁄2  I ( ω x, ω y )  Φ ( ω x, ω y ) = arc tan  -------------------------  . 3-5a) or in operator form –1 F ( x, y ) = O F { F ( ω x, ω y ) } . 3-5b) The functions F(x, y) and F ( ω x, ω y ) are called Fourier transform pairs.

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