This is to visualize the functions of 3 independent variables ( v=f(x,y,z) ), which becomes 4 dimensional problem.
It just uses the MATLAB function "slice", in an effective way, leading to customizable 4 dimensional visualization tool.
Function should first be calculated at the required 3-dimensional grid and stored as ?.mat? file in the folder "\Visual_Data\".
The ".mat" files should contain the following variables,
X
Y
Z
V
X, Y, Z are the 3 coordinate points and V is the function. All the variables will be 0f l x m x n in size ( three dimensional array with same dimensions)
One example data file is included in the folder.
Many such mat files can be created and kept in the same folder, which can be selected for visualization from the pop-up menu.
A simple m file (2-lines) Create_Volume.m is also included, which may be useful for generating data for simple functions.
Authors Comment:
-- Was written in a hurry for the author?s own requirement and later refined.
-- Will be useful as a quick tool for many scientific investigations for understanding the structure of any 4-dimensional functions. |