Focal spot auto-calculation algorithm
The present invention relates to a process for evaluating the characteristics of the focal spot of an X-ray tube. This algorithm can be used to obtain the size of fuzzy zone and focal spot size in all directions, and the average value thereof can be automated to replace cumbersome manual operations and reduce human error. The algorithm can be used to automatically obtain the size of fuzzy zone and focal spot size in each direction, as well as their average value, thus replacing cumbersome manual operations and reducing personal error.
1. A method for evaluation of the focal spot sizes from a star pattern radiogram, comprising:
a. determining the center of the star pattern radiogram;
b. deploying a plurality of straight lines along the radius of the star pattern radiogram;
c. selecting one of the straight lines and reading the intensity values along the selected straight line to obtain an intensity function of radial coordinate;
d. performing binarization on the intensity values to obtain a pixel value function of radial coordinate;
e. performing regression on the pixel value function of radial coordinate to obtain a regression function;
f. obtaining a first differential function from the derivative of regression function;
g. determining local maximum and local minimum of the first differential function; if the total number of local maximum and local minimum is 1, documenting the radial coordinate of local maximum and local minimum to obtain the size of fuzzy zone (Z); if the total number of local maximum and local minimum is not 1, selecting another straight line and repeating steps (c) through (f); and
f. obtaining a focal spot size along the direction of the final selected straight line using formula I:
Focal spot size( f )=(θ/57.3)*[( Z*R )/( M− 1)] (I)
wherein Z is the size of fuzzy zone; θ is the vertex angle of star pattern, R is the pixel size of a detector for radiography; M is the image magnification.
2. The method of claim 1 , further comprising the step of:
repeating steps (c) to (f) to obtain focal spot sizes along various directions and an average value thereof.
3. The method of claim 1 , wherein the step of performing the regression comprises excluding outliers whose mean square error (MSE) is greater than a threshold.
4. The method of claim 1 , wherein the regression is linear or non-linear regression.
5. The method of claim 1 , wherein the regression is polynomial regression.
6. The method of claim 5 , wherein the polynomial regression is sextic polynomial regression.