maple_area

maple_area, a MATLAB code which estimates the area of a maple leaf using an image.

For a discussion of quasirandom sampling, Brian Hayes published a picture of a maple leaf and considered how its area could be estimated using a regular grid of points, random sampling, or quasirandom sampling.

The functions use various sampling techniques to estimate the area of the maple leaf.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

maple_area is available in a MATLAB version and an Octave version.

Related Data and Programs:

maple_area_test

hand_area, a MATLAB code which estimates the area of a curve which outlines a person's hand.

maple_data, a MATLAB code which reads an image of a maple leaf and extracts the list of pixels that form the boundary.

polygon, a MATLAB code which computes properties of an arbitrary polygon in the plane, defined by a sequence of vertices, including interior angles, area, centroid, containment of a point, convexity, counter clockwise ordering, diameter, distance to a point, inradius, lattice area, nearest point in set, outradius, uniform sampling, and triangulation.

Reference:

• Brian Hayes,
  Quasirandom Ramblings,
  American Scientist,
  Volume 99, Number 4, July-August 2011, pages 282-287.

Source Code:

• maple_area_estimate_grid.m, estimates the relative area of a maple leaf using a regular grid.
• maple_area_estimate_mc.m, estimates the relative area of a maple leaf using Monte Carlo points.
• maple_area_estimate_qmc.m, estimates the relative area of a maple leaf using Quasi Monte Carlo points.