Description Usage Arguments Details Examples
The bisquare function
1 2 3 4 5 6 | bisquare_1d(h, delta = 0, r = 1, A = 1)
bisquare_2d(h1, h2, delta = c(0, 0), r = 1, A = 1)
bisquare_B(h1, h2, delta = c(0, 0), r = 1, A = 1, areas = rep(1,
length(h1)), n1 = 10L, n2 = 10L)
|
h |
displacement (1d) |
delta |
shift parameter(s) |
r |
aperture parameter |
A |
gain parameter (amplitude) |
h1 |
first component of displacement vector (2d) |
h2 |
second component of displacement vector (2d) |
areas |
area associated with each column in B |
n1 |
number of rows |
n2 |
number of columns |
The bisquare function (shifted by Δ) is given by
b(s,v) = A{1 - (|v- s - d|/r)^2}^2 if | v -s - d| <= r, 0 otherwise
The function bisquare_1d
accepts h
in any shape or size, while for bisquare_2d
, h1
and h2
need to be vectors of the same size. The parameter delta
needs to be equal to one or two in length, depending on the spatial dimension.
The function bisquare_B
is used to construct the matrix B given the bisquare parameters. It is meant to be used in problems of 2 dimensions.
1 2 3 | h <- seq(-10,10,0.1)
y <- bisquare_1d(h=h,delta=3,r=4)
plot(h,y)
|
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