How to derive the visual depth formula

How to derive the visual depth formula is introduced as follows:

The visual depth formula is a quantitative expression used to determine the depth during camera shooting. It is an important concept in photography technology. With It can evaluate the camera's focus adjustment to meet different shooting needs when shooting, and obtain the results of image quality.

First of all, the primary basis for derivation is trigonometric functions, which are the basic functions for solving plane and space problems. To obtain the visual depth formula, the relationship between trigonometric functions and other parallax angles must be established. Then, you can use the triangular equilateral trapezoid and use the basic theorem of trapezoids to find the angles between the two corresponding sides.

Finally, bring in the camera parameters, and use the substitution method to convert the parallax angle into depth of view and far interception according to parameters such as focal length, sensor width, near intercept, and image width to complete the depth of view. and solve problems that require spatial distance.

In addition, derivation combined with Heron's formula is also an effective method. Heron's formula is used to calculate the area of ??geometric figures. This formula can be used to determine the depth of the current image to naturally obtain the visual depth formula. .

Finally, based on the traditional visual triangle theory, the derivation method of the spatial optimal solution is adopted. On this basis, the factor of camera focal length is added to the calculation, and different viewing angles represented by the depth of sight formula are formed. The depth of field, as well as the oblique station method for observation, etc., can be used to obtain the most suitable depth formula for shooting images, and thus the depth of field formula can be obtained.

To sum up, in the derivation of the visual depth formula, various methods can be used to solve the problem, including derivation based on trigonometric functions, derivation of Heron's formula and traditional perspective triangle theory. In the derivation of the visual depth formula During the derivation process, the spatial optimal solution can be found, making photo shooting more accurate and valuable.

Extended information

The physical visual depth formula is a mathematical formula that describes the visual depth of an object. The formula includes three important parameters: viewing distance, object distance and visual depth. Viewing distance refers to the distance between the observer and the object, object distance refers to the distance between the object and the observer, and visual depth refers to the depth of the object.

The physical depth of view formula can be used to calculate the relationship between the depth of an object and the viewing distance. The specific formula is: visual depth = object distance * visual distance (sight distance - object distance).