### Measurements > Intercepts

## Random Lines

Measures metrics such as mean intercept by drawing a specified number of random or rotating lines through the features in the Current Image.

### 1. Number of Lines

Number of lines to draw

### 2. Noise Removal

Method for removing small intercepts

**Reject < / =:**Simply ignores intercepts below a certain length**Fit to Noise:***(Only for “Random Lines”)*Fits an exponential to the first few bins and subtracts this exponential out of the intercept histogram.

### 3. Noise Thresholds

Thresholds for either the minimum intercept length (for “Reject </=”), the number of bins to use for “Fit to Noise”

### 4. Partial Intercepts

Choose whether to discard or keep intercepts that start or end at an image edge

### 5. Save All Intercepts

Choose whether to save all intercept lengths into text files

### 6. Lines Along Vector

Choose whether to draw all “Random Lines” along a specific direction. Starting points of each line will still be random.

### 7. Measurements

Choose which measurements to report (described below).

## Rotating Lines

Measures metrics such as mean intercept by rotating a grid of specified number of lines through the features in the Current Image.

### 1. Number of Lines

Number of lines to draw

### 2. Noise Removal

Method for removing small intercepts

**Reject < / =:**Simply ignores intercepts below a certain length**Fit to Noise:***(Only for “Random Lines”)*Fits an exponential to the first few bins and subtracts this exponential out the intercept histogram.

### 3. Noise Thresholds

Thresholds for either the minimum intercept length (for “Reject </=”), the number of bins to use for “Fit to Noise”

### 4. Partial Intercepts

Choose whether to discard or keep intercepts that start or end at an image edge

### 5. Save All Intercepts

Choose whether to save all intercept lengths into text files

### 6. Lines Along Vector

*Disabled in “Rotating Lines” mode*

### 7. Rotation Range

Range of angles through which to rotate the grid of parallel lines

### 8. Rotation Step Size

Increment with which to step though angle range to rotate the grid of parallel lines

### 9. Measurements

Choose which measurements to report (described below).

## Measurements

**Mean Intercept – Objects:**Average length of intercepts which pass through selected features (objects)**Mean Intercept – Holes:**Average length of intercepts which pass through un-selected areas (holes)**Mean Inverse Intercept – Objects:**Average inverse length of intercepts which pass through selected features (objects)**Mean Inverse Intercept – Holes:**Average inverse length of intercepts which pass through un-selected areas (holes)**Mode Intercept – Objects:**Mode (most common) length of intercepts which pass through selected features (objects)**Mode Intercept – Holes:**Mode (most common) length of intercepts which pass through un-selected areas (holes)**Mode Inverse Intercept – Objects:**Mode (most common) inverse length of intercepts which pass through selected features (objects)**Mode Inverse Intercept – Holes:**Mode (most common) inverse length of intercepts which pass through un-selected areas (holes)**ASTM Grain Size Number:**ASTM standard grain size number derived from mean intercept length through selected features (objects)

**Total Line Length:**Total length of all lines which are drawn in order to collect intercepts.**Total Intersections:**Number of intersections produced between the drawn lines and intercepted features.

## References

[1] ASTM E112-13, Standard Test Methods for Determining Average Grain Size, ASTM International, West Conshohocken, PA, 2013, www.astm.org

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