To obtain an unbiased estimate of the volume of a single object using a spatial grid of points, how should the position of the grid be determined in relation to the object?
Consider the three-dimensional systematic sampling process described for Cavalieri’s method.
When estimating the area S using an isotropic spatial grid, what does the ratio l/v represent?
Consider the intrinsic geometric properties of the structuring element (the ‘box’) used for the grid.
When using virtual probes with interactive software, how are intersections in the z-direction counted?
The system uses a ‘toggle’ function to track the status of the points throughout the image stack.
To estimate the length density Lv of a curve in a vertical section of thickness t, what is the rule for orienting cycloids?
Please note that this orientation is the opposite of that used to measure surface areas.
What condition must be met in order to apply Cruz-Orive and Howard’s total vertical projection method to estimate the total length of a dendrite?
Consider how the object is presented to the cycloidal test system to compensate for the loss of information caused by the 2D projection.
