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Interval between points
Number of points to leap over and omit for each point taken
from the sequence. The
Leap property of a point
set contains a positive integer which specifies the number of points
in the sequence to leap over and omit for every point taken. The
Leap value is 0, which corresponds to taking
every point from the sequence.
Leaping is a technique used to improve the quality of a point
set. However, you must choose the
Leap values with
Leap values create sequences that fail
to touch on large sub-hyper-rectangles of the unit hypercube, and
so fail to be a uniform quasi-random point set.
A known rule for choosing
Leap values for
Halton sets is to set it to (
a prime number that has not been used to generate one of the dimensions,
i.e. for a
k-dimensional point set
be the (
k+1)th or greater prime.
Experiment with different leap values:
% No leaping produces the standard Halton sequence. P = haltonset(5); P(1:5,:) % Set a leap of 1. The point set now includes every other % point from the sequence. P.Leap = 1; P(1:5,:)