kimesurface_transform {TCIU}

kimesurface transform on a function with a specified set of complex values

Description

a function applies the kimesurface transform on a function with a specified set of complex values

Usage

kimesurface_transform(
  FUNCT,
  glb_para,
  real_x,
  img_y,
  parallel_computing = FALSE,
  ncor = 6
)

Arguments

FUNCT

function object f(t) to conduct kimesurface transform on

glb_para

a vector of global objections that needed to be imported when using parallel computing

real_x

a list of numeric values, which is the real part of a set of complex values

img_y

a list of numeric values, which is the imaginary part of the set of complex values stated above

parallel_computing

logical object to determine whether to use parallel computing to speed up the function or not. The default is FALSE.

ncor

number of cores for parallel computing. The default is 6.

Details

This function applies the kimesurface transform on a 1D function f(t), to have it converted to a 2D function. The input is a set of complex values with the same number of real and imaginary parts. These two parts can specify a 2D plane of the same length and width. The new 2D function is defined on this 2D plane. It mainly does a Laplace Transform and modifies all the function values in a specific way to have them looks better in the plot.

Value

a 2d array that did kimesurface transform for the set of complex value (the real and imaginary parts can construct a 2d plane)

Author(s)

SOCR team <http://socr.umich.edu/people/>

Examples

# drop the first row and first column because of divergence on Laplace Transform
# do kimesurface transform on sine function
x = seq(0, 2, length.out=50)[2:50]; y = seq(0, 2, length.out=50)[2:50];


kimesurface_transform(FUNCT = function(t) {sin(t)}, real_x = x, img_y = y);