solve_theta_from_spiral_length: Get theta from given spiral lengths
| solve_theta_from_spiral_length | R Documentation |
Get theta from given spiral lengths
Description
Get theta from given spiral lengths
Usage
solve_theta_from_spiral_length(len, interval = NULL, offset = 0)
Arguments
len |
A vector of spiral lengths. |
interval |
Interval to search for the solution. |
offset |
Offset of the spiral. In the general form: |
Details
The length of the spiral has a complicated form, see https://downloads.imagej.net/fiji/snapshots/arc_length.pdf.
Let's say the form is l = f(theta) where f() is the complex equation for calculating l, solve_theta_from_spiral_length() tries to find theta with a known l.
It uses stats::uniroot() to search for the solutions.
Value
The theta value.
Examples
spiral_initialize()
s = current_spiral()
theta = pi*seq(2, 3, length = 10)
theta
len = s$spiral_length(theta)
solve_theta_from_spiral_length(len) # should be very similar as theta
