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Pixel

As explained in Math and Architectures of Deep Learning

A position in a digital image whose stored value corresponds to local brightness or color, used here across time in video frames.

A pixel is a local position in a digital image whose value records brightness or color. An image can treat each pixel as one scalar input variable, so a 224 × 224 image forms a 50,176-dimensional input space; each complete image is one point in that space. section 7.2.2

Pixel values also carry spatial clues. Uniform regions such as a wall provide little semantic information, while sharp local changes identify edges and often reveal object silhouettes. section 10.3.2

Pixels connect image data to two complementary computations:

  • Color representation: an RGB pixel can take values between black and white, with successive bytes representing red, green, and blue components. section 7.2.2
  • Edge detection: a 2D convolution kernel suppresses neighborhoods with equal pixel values and responds strongly where pixel values change sharply. section 10.3.2
  • Classification: the collection of pixel values becomes an input vector that a classifier maps to categories such as face or not face. section 7.2.2

Detecting a silhouette

In a photograph of a person against a white wall, wall pixels are relatively uniform, whereas pixels along the silhouette change sharply. A suitable convolution kernel produces little response on the wall and a large positive or negative response near the silhouette. section 10.3.2

Figure 10.11 image often helps us analyze the image.

(a) Input image

(b) Vertical edges detected by applying 2D convolution to figure 10.11a

(c) Horizontal edges detected by applying 2D convolution to figure 10.11a

Compare the input image with its vertical- and horizontal-edge outputs to see how local pixel changes become image features. section 10.3.2

How Math and Architectures of Deep Learning covers it

How deep it goes
Explains RGB representation, image dimensionality, and convolutional edge responses, but stops short of implementation details.
Examples
Uses a person against a white wall, RGB endpoints, a 224 × 224 image, and convolutional vertical- and horizontal-edge outputs.
What you can do after
Evaluate how pixel uniformity and sharp changes affect convolutional edge responses and classifier inputs.
How it connects
Connects pixels to images, RGB, convolution, edge detection, classifiers, input spaces, and feature spaces.

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This explainer was generated by Manning's knowledge graph from the text of Math and Architectures of Deep Learning. The section links point to the parts of the book it draws on.