Fundamentals of Digital Images

Definition

Def Image An image is a function of spatial coordinates, where and is the intensity of the image at that point (pixel).

Colour Spaces

Definition

Def RGB Space The RGB space has three coordinates denotes the red, green and blue channels respectively. The ranges are .

Definition

Def HSV Space The HSV space has three coordinates denotes the hue, saturation and value(brightness) respectively. The ranges are , and . |300

Comment

Advantages of HSV colour-space:

  • Intuitive representation of colors: It provides an intuitive representation of colors that is more natural to the human perception of color.
  • Separation of color and brightness: It separates color and brightness information into different components, which makes it easier to adjust color without affecting brightness.
  • Robustness to lighting variations: It is more robust to lighting variations than other color spaces, such as RGB, because it separates brightness information from color information.
  • Approximately uniform color spacing: The HSV color space has a nearly uniform color spacing, which means that the perceptual difference between colors is roughly equal.

Theorem

Thrm One can transform from RGB space to HSV space by following formula: Let . Then