How to merge and smooth multiple curves in a plot, if there are discrete points?

Question

Zeynep Ertekin 2024-6-29

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2133181-how-to-merge-and-smooth-multiple-curves-in-a-plot-if-there-are-discrete-points

评论： Mathieu NOE 2024-7-5

I have a graph, containing 4 different types of curves, in 5 frequency regions, overall 20 curves in a single graph. At some points, the curves meet, however at some points, the curves are super distant from the following one. I applied brushing, but still have discontinuities.

(Keeping the color coding) I need to merge them and smooth the sharp and points. How can I do this?

I uploaded the fig file. I have the excel data if needed.

Best

( 1. I failed to utilize link in figure properties 2. I tried to gather the data in excel, and delete the meeting points, it also didnt work)

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Image Analyst 2024-6-30

在 MATLAB Online 中打开

@Paul thanks for letting us know that - I didn't know. However it's still extra work - we need to write and run code - when it would be easier on us if the original poster just made it displayed right from the start.

@Zeynep Ertekin Not sure what you don't understand or what poster you were referring to. Did you not understand how to attach your data file and m-file with the paperclip icon when I requested that you do that? Or was it something else you didn't understand? Regardless, we're still waiting for your data so we can show you how to do it. It might be as simple as locating NaNs and removing them, like I already said.

badIndexes = isnan(x) | isnan(y);
x(badIndexes) = []; % Remove the bad x values.
y(badIndexes) = []; % Remove the bad y values.

Zeynep Ertekin 2024-7-1

Dear Image Analyst,

I add here my workspace. I appreciate your help.

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Answer 1

Mathieu NOE 2024-7-2

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2133181-how-to-merge-and-smooth-multiple-curves-in-a-plot-if-there-are-discrete-points#answer_1479796

在 MATLAB Online 中打开

dataread_matlab.mat

hello

tried afew options, probably here my best result in the very limited time I have now :

this is a demo on the first two line plots , extend to the other plots if you like it

load('dataread_matlab.mat')

% figure

% plot(TEM_34_S{:,3},-1*TEM_34_S{:,4},'r',TEM_62_S{:,3},-1*TEM_62_S{:,4},'r',TEM_90_S{:,3},-1*TEM_90_S{:,4},'r',TEM_159_S{:,3},-1*TEM_159_S{:,4},'r',TEM_284_S{:,3},-1*TEM_284_S{:,4},'r','LineWidth',4);

% hold on

% plot(TEM_34_S{:,7},-1*TEM_34_S{:,8},'b',TEM_62_S{:,7},-1*TEM_62_S{:,8},'b',TEM_90_S{:,7},-1*TEM_90_S{:,8},'b',TEM_159_S{:,7},-1*TEM_159_S{:,8},'b',TEM_284_S{:,7},-1*TEM_284_S{:,8},'b','LineWidth',4);

% hold on

%%

channel = 4;

x1 = [TEM_34_S{:,channel-1};TEM_62_S{:,channel-1};TEM_90_S{:,channel-1};TEM_159_S{:,channel-1};TEM_284_S{:,channel-1}];

y1 = [TEM_34_S{:,channel};TEM_62_S{:,channel};TEM_90_S{:,channel};TEM_159_S{:,channel};TEM_284_S{:,channel}];

%%

channel = 8;

x2 = [TEM_34_S{:,channel-1};TEM_62_S{:,channel-1};TEM_90_S{:,channel-1};TEM_159_S{:,channel-1};TEM_284_S{:,channel-1}];

y2 = [TEM_34_S{:,channel};TEM_62_S{:,channel};TEM_90_S{:,channel};TEM_159_S{:,channel};TEM_284_S{:,channel}];

%% main loop

[x1s,y1s] = mysmoother(x1,y1);

[x2s,y2s] = mysmoother(x2,y2);

figure

plot(x1,y1,'*r',x1s,y1s,'g',x2,y2,'*b',x2s,y2s,'y','LineWidth',4);

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

function [xc,ys] = mysmoother(x,y)

% take unique values

[x,ia,~] = unique(x);

y = y(ia);

% my smoother

N = 100;

xi = linspace(min(x),max(x),N); %

% create median average in each bin

for k=1:N-1

ind = (x>=xi(k) & x<xi(k+1));

xc(k) = (xi(k) + xi(k+1))/2;

yc(k) = median(y(ind));

end

% add first and last points (assumed to be in a "clean" area)

xc = [x(1) xc x(end)];

yc = [y(1) yc y(end)];

% smooth it

ys = smoothdata(yc,'rloess',round(N/3));

end

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Mathieu NOE 2024-7-4

在 MATLAB Online 中打开

dataread_matlab.mat

hello @Zeynep Ertekin

I needed to store each curve as x, y arrays simply and avoid calling / repeating a long sequence each time like

TEM_34_S{:,col-1};TEM_62_S{:,col-1};TEM_90_S{:,col-1};TEM_159_S{:,col-1};TEM_284_S{:,col-1} for one x vector.

I simply used your "pattern" and changing the column index to have x and y

if you'd wanted this now could be turned into a for loop for even shorter and better code (in the case for example you have to process many files / or more variables)

here some new code for the 4 plots now :

load('dataread_matlab.mat')

%% replace original code

% figure

% plot(TEM_34_S{:,3},-1*TEM_34_S{:,4},'r',TEM_62_S{:,3},-1*TEM_62_S{:,4},'r',TEM_90_S{:,3},-1*TEM_90_S{:,4},'r',TEM_159_S{:,3},-1*TEM_159_S{:,4},'r',TEM_284_S{:,3},-1*TEM_284_S{:,4},'r','LineWidth',4);

% hold on

% plot(TEM_34_S{:,7},-1*TEM_34_S{:,8},'b',TEM_62_S{:,7},-1*TEM_62_S{:,8},'b',TEM_90_S{:,7},-1*TEM_90_S{:,8},'b',TEM_159_S{:,7},-1*TEM_159_S{:,8},'b',TEM_284_S{:,7},-1*TEM_284_S{:,8},'b','LineWidth',4);

% hold on

% plot(wg_34_S{:,3},-1*wg_34_S{:,4},'c',wg_62_S{:,3},-1*wg_62_S{:,4},'c',wg_90_S{:,3},-1*wg_90_S{:,4},'c',wg_159_S{:,3},-1*wg_159_S{:,4},'c',wg_284_S{:,3},-1*wg_284_S{:,4},'c','LineWidth',4);

% hold on

% plot(wg_34_S{:,7},-1*wg_34_S{:,8},'g',wg_62_S{:,7},-1*wg_62_S{:,8},'g',wg_90_S{:,7},-1*wg_90_S{:,8},'g',wg_159_S{:,7},-1*wg_159_S{:,8},'g',wg_284_S{:,7},-1*wg_284_S{:,8},'g','LineWidth',4);

%% with this one

figure

col_indexes = [4,8];

for k = 1:numel(col_indexes)

col = col_indexes(k);

% first datas

x1 = [TEM_34_S{:,col-1};TEM_62_S{:,col-1};TEM_90_S{:,col-1};TEM_159_S{:,col-1};TEM_284_S{:,col-1}];

y1 = [TEM_34_S{:,col};TEM_62_S{:,col};TEM_90_S{:,col};TEM_159_S{:,col};TEM_284_S{:,col}];

% second datas

x2 = [wg_34_S{:,col-1};wg_62_S{:,col-1};wg_90_S{:,col-1};wg_159_S{:,col-1};wg_284_S{:,col-1}];

y2 = [wg_34_S{:,col};wg_62_S{:,col};wg_90_S{:,col};wg_159_S{:,col};wg_284_S{:,col}];

% pass x1,y1 & x2,y2 to mysmoother function

[x1s,y1s] = mysmoother(x1,y1);

[x2s,y2s] = mysmoother(x2,y2);

plot(x1,y1,'*',x1s,y1s,'-',x2,y2,'*',x2s,y2s,'-','LineWidth',4);

hold on

end

hold off

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

function [xc,ys] = mysmoother(x,y)

% take unique values

[x,ia,~] = unique(x);

y = y(ia);

% my smoother

N = 100;

xi = linspace(min(x),max(x),N); %

% create median average in each bin

for k=1:N-1

ind = (x>=xi(k) & x<xi(k+1));

xc(k) = (xi(k) + xi(k+1))/2;

yc(k) = median(y(ind));

end

% add first and last points (assumed to be in a "clean" area)

xc = [x(1) xc x(end)];

yc = [y(1) yc y(end)];

% smooth it

ys = smoothdata(yc,'rloess',round(N/3));

end

Zeynep Ertekin 2024-7-4

I do not know, how to thank enough. I see that you named the columns as channel to simplfy the stuff.

You are the best.

Wish you success and goodness all the time (fingers crossed)

Mathieu NOE 2024-7-5

Tx for the nice comments , but I still have to work hard if I want to access the top10 league !!!

have a great day !

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How to merge and smooth multiple curves in a plot, if there are discrete points?

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