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1.1. PRESENTATION OF CONTINUOUS IMAGES

Lecture



The distribution of energy of the source of light radiation by spatial coordinates 1.1.  PRESENTATION OF CONTINUOUS IMAGES time 1.1.  PRESENTATION OF CONTINUOUS IMAGES and wavelengths 1.1.  PRESENTATION OF CONTINUOUS IMAGES described by function 1.1.  PRESENTATION OF CONTINUOUS IMAGES . The radiation energy is proportional to the square of the amplitude of the electric field and therefore represents a real positive value. In imaging systems, the maximum brightness of the image is limited due to saturation of the photosensitive film or overheating of the phosphor of the kinescope. Consequently,

1.1.  PRESENTATION OF CONTINUOUS IMAGES (1.1.1)

Where 1.1.  PRESENTATION OF CONTINUOUS IMAGES - The maximum brightness of the image. The dimensions of the image are limited by the forming system and the environment in which it is recorded. For the sake of simplicity, we will assume that all images are nonzero only in a rectangular area for which

1.1.  PRESENTATION OF CONTINUOUS IMAGES (1.1.2a)

1.1.  PRESENTATION OF CONTINUOUS IMAGES (1.1.2b)

The image is observed during a finite period of time, i.e.

1.1.  PRESENTATION OF CONTINUOUS IMAGES (1.1.2b)

Thus, the magnitude 1.1.  PRESENTATION OF CONTINUOUS IMAGES is a bounded function of four bounded variables. We will consider this function continuous in the domain of its definition.

The feeling of lightness that occurs in the human visual system is usually determined by the instantaneous brightness of the light field, i.e.

1.1.  PRESENTATION OF CONTINUOUS IMAGES (1. 1.3),

Where 1.1.  PRESENTATION OF CONTINUOUS IMAGES - spectral sensitivity of human vision. Color sensations can be described by a set of so-called flowering coordinates, proportional to the intensities of red, green and blue, the mixture of which gives a given color. For an arbitrary red-green-blue coordinate system, the current values ​​of the color coordinates are

1.1.  PRESENTATION OF CONTINUOUS IMAGES (1.1.4a)

1.1.  PRESENTATION OF CONTINUOUS IMAGES (1.1.4b)

1.1.  PRESENTATION OF CONTINUOUS IMAGES (1.1.4b)

Where 1.1.  PRESENTATION OF CONTINUOUS IMAGES , 1.1.  PRESENTATION OF CONTINUOUS IMAGES , 1.1.  PRESENTATION OF CONTINUOUS IMAGES - specific coordinates for a set of primary colors - red, green and blue, equal to the coordinates of the color of monochromatic radiation of unit intensity with a wavelength 1.1.  PRESENTATION OF CONTINUOUS IMAGES . In the multispectral image systems for 1.1.  PRESENTATION OF CONTINUOUS IMAGES spectral zone is described by the expression

1.1.  PRESENTATION OF CONTINUOUS IMAGES (1.1.5),

Where 1.1.  PRESENTATION OF CONTINUOUS IMAGES - spectral sensitivity 1.1.  PRESENTATION OF CONTINUOUS IMAGES th sensor.

For simplicity, we will in all cases describe the image formed by some physical system using the function 1.1.  PRESENTATION OF CONTINUOUS IMAGES . For monochrome system function 1.1.  PRESENTATION OF CONTINUOUS IMAGES represents the distribution of brightness or some other physical quantity associated with brightness. For color reproduction system 1.1.  PRESENTATION OF CONTINUOUS IMAGES there is one of the color coordinates. Function 1.1.  PRESENTATION OF CONTINUOUS IMAGES It is also used to describe other fields, for example, the time-varying spatial distribution of the noise of a video sensor.

In accordance with the usual definition of the average value of a one-dimensional signal, the time average brightness of the image at a given point 1.1.  PRESENTATION OF CONTINUOUS IMAGES defined as

1.1.  PRESENTATION OF CONTINUOUS IMAGES (1.1.6)

Where 1.1.  PRESENTATION OF CONTINUOUS IMAGES - temporary weight function. The spatial average brightness at the moment of time is determined similarly. 1.1.  PRESENTATION OF CONTINUOUS IMAGES :

1.1.  PRESENTATION OF CONTINUOUS IMAGES (1.1.7)

In many image reproduction systems, such as projection devices, the image does not change over time and the variable 1.1.  PRESENTATION OF CONTINUOUS IMAGES may be omitted. In systems of another type, such as cinematic, the argument 1.1.  PRESENTATION OF CONTINUOUS IMAGES varies discretely. Further argument 1.1.  PRESENTATION OF CONTINUOUS IMAGES the function that captures the image will usually be omitted.


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Digital image processing

Terms: Digital image processing