Gamma value has different applications and understandings in many fields, but its core principle mainly involves the nonlinear relationship between input value and output value.
The following is a brief description of the principle of Gamma value:
I. The principle of Gamma value in image processing
1. Definition and relationship:
- In image processing, especially in printing technology and image processing, Gamma value refers to the relationship between input value and brightness of display output. It is essentially the power in the exponential function, which is used to describe the slope of the relationship between image output value and input value.
- Gamma value reflects the nonlinear relationship between RGB value and power. This nonlinear relationship is usually described by a power function. The exponent of the power function is the Gamma value, which is generally 2.2. This process is called Gamma correction.
2. Application and impact:
- The purpose of Gamma correction is to compensate for the nonlinear perception of brightness by the human eye, so that the image on the display looks more natural.
- Gamma value affects the distribution of tones between highlights and dark tones on the original. By adjusting the Gamma value, the brightness value of the grayscale of the middle tone of the image can be changed, thereby increasing the middle level of the image without having much impact on the level of the dark and bright parts.
- In the absence of color management, users can adjust the Gamma value of the display to simulate the viewing conditions when comparing the contrast between the image on the display and the original.
II. The principle of Gamma value in economics
- In economic terms, the Gamma value is used to indicate the sensitivity of the Delta value to the price change of the underlying asset, that is, the price change of the option is equivalent to the second-order derivative of the price change of the underlying asset. It is the only second-order derivative among the commonly used option risk indicators.
- The larger the Gamma value, the greater the change in the Delta value due to the change in the underlying stock price, which is an important risk indicator for investors.
III. Summary
- The principle of Gamma value varies in different fields, but the core is to describe a nonlinear relationship.
- In image processing, the Gamma value is used to correct the brightness relationship between the output value and the input value of the display to compensate for the nonlinear perception of brightness by the human eye.
- In economics, the Gamma value is used to measure the second-order sensitivity of option prices to changes in the underlying asset price and is an important indicator for assessing option risk.
The above is a brief description of the Gamma value principle, I hope it will be helpful to you.