Matlab interpolation for 3 axis data

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SUMMARY

The discussion focuses on using MATLAB for interpolating and smoothing 3D graphs generated from a matrix of measured values. A practical example is provided, demonstrating how to use the 'interp2' function with 'spline' interpolation to enhance the graph's visual quality. The code snippet increases the sampling rate by a factor of four, which is crucial for achieving smoother lines in the resulting surface plot. This method is specifically applicable to square matrices, making it essential for users working with similar data structures.

PREREQUISITES
  • Familiarity with MATLAB programming environment
  • Understanding of 3D graphing concepts
  • Knowledge of matrix operations in MATLAB
  • Basic understanding of interpolation techniques
NEXT STEPS
  • Explore MATLAB's 'interp2' function for 2D interpolation
  • Learn about different interpolation methods available in MATLAB, such as 'linear', 'nearest', and 'cubic'
  • Investigate advanced surface plotting techniques in MATLAB
  • Study the impact of sampling rates on data visualization quality
USEFUL FOR

Researchers, data analysts, and medical professionals who require enhanced visualization of 3D data in MATLAB, particularly those working with interpolation and surface plotting techniques.

Menton85
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Hi,
I'm doing a project in medicine, I've used MATLAB to create 3d graphs using a vector with 5 fixed values as X, a vector with 7 fixed values as Y. As Z I have 5*7 measured values.

I need to interpolate my graph to "smoothen" the lines in the graph, but I am totally lost, I have no idea how to do this. Could someone show me a practical example of needed MATLAB code for this I would be very thankful.
 
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This might get you started, it interpolates and smooths the data by 4X. It only works on a square matrices at the moment.

clear all; close all;
mat = rand(7);
[X,Y] = meshgrid(1:7,1:7);
[XI,YI] = meshgrid(1:.25:7); %This increases sampling by 4X)
colormap(hsv)
surf(mat)
shading interp
Zsmooth = interp2(X,Y,mat,XI,YI, 'spline');
figure2 = figure;
figure2 = surf(XI,YI,Zsmooth);
shading interp
 

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