MATLAB: Scaling color with selected axis data

color scalecolorbarlinespecMATLABplot3

I want to plot a function z = f (x,y), but I want the lines (y-axis) to be the color scale.
This is my code:
% parameters
x= [0:1:30]' ;
y= linspace(0.1,10,length(x)) ;
% function
if (x <= max(x)*ones(size(x)) )
z = (x./max(x)).^y   ;
  else
z =  1 ;
end
% Plot
fig1 = plot3(x,y,z) ;
view([-120 20])
xlabel('x')
ylabel('y')
zlabel('z')
colorbar

Best Answer

Why not use surf()?
Color lines using patch()
clc,clear
% parameters
x= [0:1:30]' ;
y= linspace(0.1,10,length(x)) ;
[X,Y] = meshgrid(x,y);
X(end+1,:) = nan;                   % put NaN where line ends
Y(end+1,:) = nan;
% function
Z = (X./max(x)).^Y   ;
  
% plot preparations
n = length(x);
cm = jet(n);                        % create 31 colors
z0 = linspace(min(Z(:)),max(Z(:)),n);
cmap = interp1(z0,cm,Z(:));         % get color for each Z
% cmap(isnan(cmap)) = 0;            % replace NaN
% Plot
cla
f = 1:length(Z(:))-1;
p = patch('Vertices',[X(:),Y(:),Z(:)], ...
        'Faces', [f' f'+1],...
        'EdgeColor','interp', ...
        'FaceVertexCData',cmap);
%         'Marker','.');
view([-120 20])
xlabel('x')
ylabel('y')
zlabel('z')
colorbar
% if graphical driver fails
% opengl software
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