determine_region {triangulation}

Determine confidence region for position

Description

This function is similar to determine_position()except for the fact that it is assumed that the angles are subject to measurement error. Hence a confidence region (error 'ellipse') is returned instead of an exact position.

Usage

determine_region(A, B, C, observer_angle_AB, observer_angle_AC,
  angle_error = pi/24, number_of_points = 200, output_plot = TRUE,
  lines_in_plot = FALSE, coordinates_in_plot = FALSE,
  decimals_in_plot = 2)

Arguments

A

A point defined by a vector containing an x- and an y-coordinate

B

A point defined by a vector containing an x- and an y-coordinate

C

A point defined by a vector containing an x- and an y-coordinate

observer_angle_AB

An angle (numeric) expressed in radians

observer_angle_AC

An angle (numeric) expressed in radians

angle_error

A numeric indicating the measurement error in radians

number_of_points

A numeric indicating the number of error points tested

output_plot

Boolean variable indicating whether a plot should be created

lines_in_plot

Boolean variable indicating whether lines should be drawn in the plot

coordinates_in_plot

Boolean variable indicating whether the coordinates should be printet in the plot

decimals_in_plot

Integer indicating the number of decimals used

Value

Coordinates indicating the outer border of the confidence region. Note that several different regions may exist.

Examples

determine_region(A = c(0, 0), B = c(10, 0), C = c(5, 5 * 3^0.5), observer_angle_AB = pi * 2/3,
observer_angle_AC = pi * 1/2)

determine_region(A = c(0, 0), B = c(10, 0), C = c(5, 5), observer_angle_AB = pi * 5/6,
observer_angle_AC = pi * 1/2, lines_in_plot = FALSE)