Extract data from figure (2024)

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Anton Vernytsky am 8 Mär. 2022

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Kommentiert: Mathieu NOE am 16 Mär. 2022

Hello,

i would like to write a code that will calculte the middle of the "bell'.For example y=1 it is the base off the "bell" and the local min point is the top of the "bell" and i need to find the middle of that "bell'' and draw a horizontal line.For example the base is y=1 and the top is y=0.9 so the middle will be line at y=0.95.

This is my code and example of what i want do draw(The red lines).

Thank you.

Extract data from figure (2)

clear all;

clc;

xlsdata=xlsread('ForDataMining.xlsx');

Wavelength=xlsdata(2:2152);

for i=1:2

reflection = xlsdata(2:2152,i+1);

lmin = islocalmin(reflection,"MinSeparation",100);

bellheight=1-lmin;

bellmid=1-bellheight/2;

plot(Wavelength,reflection,Wavelength(lmin),reflection(lmin),'ro')

hold on

yline(bellmid);

hold off

title('Relative Reflectance-Wavelength')

xlabel('Wavelength[nm]')

ylabel('Relative Reflectance')

grid on

grid minor

figure(i)

end

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Mathieu NOE am 8 Mär. 2022

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hello Anton

I created some dummy data - as you didn't provide the excel file

here my suggestion, for one local minimum

Extract data from figure (4)

clear all;

clc;

% some dummy data

Wavelength=1:1000;

reflection = min(ones(size(Wavelength)),1+0.37*sin(Wavelength/150+1.5));

lmin = islocalmin(reflection,"MinSeparation",100);

lmin_value = reflection(lmin);

bellheight=1-lmin_value;

bellmid=1-bellheight/2;

threshold = bellmid; %

[t0_pos,s0_pos,t0_neg,s0_neg]= crossing_V7(reflection,Wavelength,threshold,'linear'); % positive (pos) and negative (neg) slope crossing points

% ind => time index (samples)

% t0 => corresponding time (x) values

% s0 => corresponding function (y) values , obviously they must be equal to "threshold"

y_line = threshold*ones(size(x_line));

figure(1)

plot(Wavelength,reflection,Wavelength(lmin),lmin_value,'ro',x_line,y_line,'r',t0_pos,s0_pos,'db',t0_neg,s0_neg,'dg','linewidth',2,'markersize',12);grid on

legend('signal','local min','threshold','positive slope crossing points','negative slope crossing points');

title('Relative Reflectance-Wavelength')

xlabel('Wavelength[nm]')

ylabel('Relative Reflectance')

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

function [t0_pos,s0_pos,t0_neg,s0_neg] = crossing_V7(S,t,level,imeth)

% [ind,t0,s0,t0close,s0close] = crossing_V6(S,t,level,imeth,slope_sign) % older format

% CROSSING find the crossings of a given level of a signal

% ind = CROSSING(S) returns an index vector ind, the signal

% S crosses zero at ind or at between ind and ind+1

% [ind,t0] = CROSSING(S,t) additionally returns a time

% vector t0 of the zero crossings of the signal S. The crossing

% times are linearly interpolated between the given times t

% [ind,t0] = CROSSING(S,t,level) returns the crossings of the

% given level instead of the zero crossings

% ind = CROSSING(S,[],level) as above but without time interpolation

% [ind,t0] = CROSSING(S,t,level,par) allows additional parameters

% par = {'none'|'linear'}.

%With interpolation turned off (par = 'none') this function always

%returns the value left of the zero (the data point thats nearest

% to the zero AND smaller than the zero crossing).

%

% check the number of input arguments

error(nargchk(1,4,nargin));

% check the time vector input for consistency

if nargin < 2 | isempty(t)

% if no time vector is given, use the index vector as time

t = 1:length(S);

elseif length(t) ~= length(S)

% if S and t are not of the same length, throw an error

error('t and S must be of identical length!');

end

% check the level input

if nargin < 3

% set standard value 0, if level is not given

level = 0;

end

% check interpolation method input

if nargin < 4

imeth = 'linear';

end

% make row vectors

t = t(:)';

S = S(:)';

% always search for zeros. So if we want the crossing of

% any other threshold value "level", we subtract it from

% the values and search for zeros.

S = S - level;

% first look for exact zeros

ind0 = find( S == 0 );

% then look for zero crossings between data points

S1 = S(1:end-1) .* S(2:end);

ind1 = find( S1 < 0 );

% bring exact zeros and "in-between" zeros together

ind = sort([ind0 ind1]);

% and pick the associated time values

t0 = t(ind);

s0 = S(ind);

if ~isempty(ind)

if strcmp(imeth,'linear')

% linear interpolation of crossing

for ii=1:length(t0)

%if abs(S(ind(ii))) >= eps(S(ind(ii))) % MATLAB V7 et +

if abs(S(ind(ii))) >= eps*abs(S(ind(ii))) % MATLAB V6 et - EPS * ABS(X)

% interpolate only when data point is not already zero

NUM = (t(ind(ii)+1) - t(ind(ii)));

DEN = (S(ind(ii)+1) - S(ind(ii)));

slope = NUM / DEN;

slope_sign(ii) = sign(slope);

t0(ii) = t0(ii) - S(ind(ii)) * slope;

s0(ii) = level;

end

end

end

% extract the positive slope crossing points

ind_pos = find(sign(slope_sign)>0);

t0_pos = t0(ind_pos);

s0_pos = s0(ind_pos);

% extract the negative slope crossing points

ind_neg = find(sign(slope_sign)<0);

t0_neg = t0(ind_neg);

s0_neg = s0(ind_neg);

else

% empty output

ind_pos = [];

t0_pos = [];

s0_pos = [];

% extract the negative slope crossing points

ind_neg = [];

t0_neg = [];

s0_neg = [];

end

end

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Mathieu NOE am 8 Mär. 2022

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https://de.mathworks.com/matlabcentral/answers/1666184-extract-data-from-figure#comment_2027014

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and now the multiple local minima code :

Extract data from figure (6)

clear all;

clc;

close all

% some dummy data

Wavelength=1:1000;

reflection = min(ones(size(Wavelength)),1+0.55*sin(Wavelength/330).*sin(Wavelength/50+1.5));

lmin = islocalmin(reflection,"MinSeparation",100);

lmin_index = find(lmin);

lmin_value = reflection(lmin);

plot(Wavelength,reflection,Wavelength(lmin),lmin_value,'ro');

hold on

title('Relative Reflectance-Wavelength')

xlabel('Wavelength[nm]')

ylabel('Relative Reflectance')

for ci = 1:numel(lmin_value)

bellheight=1-lmin_value(ci);

bellmid=1-bellheight/2;

threshold = bellmid; %

[t0_pos,s0_pos,t0_neg,s0_neg]= crossing_V7(reflection,Wavelength,threshold,'linear'); % positive (pos) and negative (neg) slope crossing points

% ind => time index (samples)

% t0 => corresponding time (x) values

% s0 => corresponding function (y) values , obviously they must be equal to "threshold"

% keep closest t0_neg t0_pos values from lmin_value

[val,indd] = min(abs(lmin_index(ci)-t0_neg));

t0_neg_selected = t0_neg(indd);

[val,indd] = min(abs(lmin_index(ci)-t0_pos));

t0_pos_selected = t0_pos(indd);

x_line = [t0_neg_selected t0_pos_selected];

y_line = threshold*ones(size(x_line));

plot(x_line,y_line,'r','linewidth',2,'markersize',12);grid on

end

hold off

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

function [t0_pos,s0_pos,t0_neg,s0_neg] = crossing_V7(S,t,level,imeth)

% [ind,t0,s0,t0close,s0close] = crossing_V6(S,t,level,imeth,slope_sign) % older format

% CROSSING find the crossings of a given level of a signal

% ind = CROSSING(S) returns an index vector ind, the signal

% S crosses zero at ind or at between ind and ind+1

% [ind,t0] = CROSSING(S,t) additionally returns a time

% vector t0 of the zero crossings of the signal S. The crossing

% times are linearly interpolated between the given times t

% [ind,t0] = CROSSING(S,t,level) returns the crossings of the

% given level instead of the zero crossings

% ind = CROSSING(S,[],level) as above but without time interpolation

% [ind,t0] = CROSSING(S,t,level,par) allows additional parameters

% par = {'none'|'linear'}.

%With interpolation turned off (par = 'none') this function always

%returns the value left of the zero (the data point thats nearest

% to the zero AND smaller than the zero crossing).

%

% check the number of input arguments

error(nargchk(1,4,nargin));

% check the time vector input for consistency

if nargin < 2 | isempty(t)

% if no time vector is given, use the index vector as time

t = 1:length(S);

elseif length(t) ~= length(S)

% if S and t are not of the same length, throw an error

error('t and S must be of identical length!');

end

% check the level input

if nargin < 3

% set standard value 0, if level is not given

level = 0;

end

% check interpolation method input

if nargin < 4

imeth = 'linear';

end

% make row vectors

t = t(:)';

S = S(:)';

% always search for zeros. So if we want the crossing of

% any other threshold value "level", we subtract it from

% the values and search for zeros.

S = S - level;

% first look for exact zeros

ind0 = find( S == 0 );

% then look for zero crossings between data points

S1 = S(1:end-1) .* S(2:end);

ind1 = find( S1 < 0 );

% bring exact zeros and "in-between" zeros together

ind = sort([ind0 ind1]);

% and pick the associated time values

t0 = t(ind);

s0 = S(ind);

if ~isempty(ind)

if strcmp(imeth,'linear')

% linear interpolation of crossing

for ii=1:length(t0)

%if abs(S(ind(ii))) >= eps(S(ind(ii))) % MATLAB V7 et +

if abs(S(ind(ii))) >= eps*abs(S(ind(ii))) % MATLAB V6 et - EPS * ABS(X)

% interpolate only when data point is not already zero

NUM = (t(ind(ii)+1) - t(ind(ii)));

DEN = (S(ind(ii)+1) - S(ind(ii)));

slope = NUM / DEN;

slope_sign(ii) = sign(slope);

t0(ii) = t0(ii) - S(ind(ii)) * slope;

s0(ii) = level;

end

end

end

% extract the positive slope crossing points

ind_pos = find(sign(slope_sign)>0);

t0_pos = t0(ind_pos);

s0_pos = s0(ind_pos);

% extract the negative slope crossing points

ind_neg = find(sign(slope_sign)<0);

t0_neg = t0(ind_neg);

s0_neg = s0(ind_neg);

else

% empty output

ind_pos = [];

t0_pos = [];

s0_pos = [];

% extract the negative slope crossing points

ind_neg = [];

t0_neg = [];

s0_neg = [];

end

end

Mathieu NOE am 16 Mär. 2022

Direkter Link zu diesem Kommentar

https://de.mathworks.com/matlabcentral/answers/1666184-extract-data-from-figure#comment_2045374

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    Direkter Link zu diesem Kommentar

    https://de.mathworks.com/matlabcentral/answers/1666184-extract-data-from-figure#comment_2045374

hello Anton

if my submission has filled your expectations, do you mind accepting it ?

tx

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Translated by Extract data from figure (8)

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