Add rainbow colormap

plotting/Colormaps/RainbowColormap/RainbowColormap/SetXLimYLimXTick.m

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+% % function to set ticks of X-axis and Y-axis
+
+function SetXLimYLimXTick(handle,xmin,xmax,ymin,ymax)
+
+set(handle,'XLim',[xmin xmax]);
+set(handle,'YLim',[ymin ymax]);
+
+xtvec=[xmin ,get(gca,'XTick'), xmax];
+ytvec=[ymin ,get(gca,'YTick'), ymax];
+
+xtvec=unique(xtvec);
+ytvec=unique(ytvec);
+
+set(handle,'XTick',xtvec);
+set(handle,'YTick',ytvec);
+
+% % ---------------------------------------
+% % This program or any other program(s) supplied with it does not provide any warranty direct or implied.
+% % This program is free to use/share for non-commercial purpose only. 
+% % Kindly reference the work.
+% % Author: Dr. Murtaza Khan
+% % LinkedIn: http://www.linkedin.com/pub/dr-murtaza-khan/19/680/3b3
+% % ResearchGate: http://www.researchgate.net/profile/Murtaza_Khan2/
+% % ---------------------------------------

plotting/Colormaps/RainbowColormap/RainbowColormap/main.m

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+clc, close all, clear all
+
+dx = 0.8; % amount of blue and red at the beginning & end of the colormap
+n = 32;  % number of entries in the rainbow colormap
+[cmapRainbow, g, f]=rainbow_cmap(n, dx);
+% % -----------------------------------------------
+% % Display an image in bone and rainbow colormaps
+load spine 
+figure, image(X), colormap(bone), title('\bf  Image in Bone colormap');
+figure, image(X), colormap(cmapRainbow), title('\bf Image in Rainbow colormap');
+
+% % -----------------------------------------------
+% % Plot transfer functions of rainbow colormap
+figure, hold on
+plot(g,cmapRainbow(:,1),'r','linewidth',2); %red
+plot(g,cmapRainbow(:,2),'g','linewidth',2); %green
+plot(g,cmapRainbow(:,3),'b','linewidth',2); %blue
+% legend('R','G','B');
+handle1=gca;
+SetXLimYLimXTick(handle1,0,6,-0.1,1.1);
+grid on
+title('\bf Rainbow colormap transfer functions');
+xlabel('\bf Scalar value g');
+ylabel('\bf Transfer functions: R, G, B');
+
+
+% % -----------------------------------------------
+% % This program or any other program(s) supplied with it does not provide any warranty direct or implied.
+% % This program is free to use/share for non-commercial purpose only. 
+% % Kindly reference the work.
+% % Author: Dr. Murtaza Khan
+% % LinkedIn: http://www.linkedin.com/pub/dr-murtaza-khan/19/680/3b3
+% % ResearchGate: http://www.researchgate.net/profile/Murtaza_Khan2/
+% % -----------------------------------------------
+
+
+

plotting/Colormaps/RainbowColormap/RainbowColormap/rainbow_cmap.m

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+% % INPUT
+% % n: number of entries in the rainbow colormap
+% % dx: it controls the amount of pure blue and red used at the 
+% %     beginning and the end of the colormap, respectively
+
+% % OUTPUT
+% % cmapRainbow: Rainbow color map values of Red, Green, Blue
+% % g: scalar values between dx & (6-dx)
+% % f: n values between 0 and 1. g is evaluated at these values
+
+function [cmapRainbow, g, f]=rainbow_cmap(n, dx)
+
+f = linspace(0,1,n); % generates n points between 0 and 1.
+
+cmapRainbow=[];
+for i=1:n
+    g(i) = (6 - 2*dx) * f(i) + dx ; %scale f between dx and (6-dx)
+    R = max(0, (3 - abs(g(i) - 4) - abs(g(i) - 5))/2); 
+    G = max(0, (4 - abs(g(i) - 2) - abs(g(i) - 4))/2); 
+    B = max(0, (3 - abs(g(i) - 1) - abs(g(i) - 2))/2); 
+    cmapRainbow(i,:)=[R, G, B];
+end
+
+g=g'; %change g to column vector
+f=f'; %change f to column vector
+
+
+% % -----------------------------------------------
+% % This program or any other program(s) supplied with it does not provide any warranty direct or implied.
+% % This program is free to use/share for non-commercial purpose only. 
+% % Kindly reference the work.
+% % Author: Dr. Murtaza Khan
+% % LinkedIn: http://www.linkedin.com/pub/dr-murtaza-khan/19/680/3b3
+% % ResearchGate: http://www.researchgate.net/profile/Murtaza_Khan2/
+% % -----------------------------------------------
+
+
+
+
+
+

plotting/Colormaps/RainbowColormap/RainbowColormap/readme.txt

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+Rainbow Colormap
+---------------------------------------
+Unzip the archive, add to current working directory and run the main.m program. Following MATLAB files are included in the archive:
+
+main.m
+A simple test program to plot:
+(1) Transfer function of Rainbow Colormap
+(2) Display two images, one in bone colormap and one     in rainbow colormap
+
+rainbow_cmap.m
+A function to compute Rainbow colormap values. 
+
+
+SetXLimYLimXTick.m
+A function to set ticks of X-axis and Y-axis
+
+---------------------------------------
+% % This program or any other program(s) supplied with it does not provide any warranty direct or implied.
+% % This program is free to use/share for non-commercial purpose only. 
+% % Kindly reference the work.
+% % Author: Dr. Murtaza Khan
+% % LinkedIn: http://www.linkedin.com/pub/dr-murtaza-khan/19/680/3b3
+% % ResearchGate: http://www.researchgate.net/profile/Murtaza_Khan2/
+---------------------------------------
+

plotting/Colormaps/RainbowColormap/RainbowColormap/reference.txt

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+Murtaza Khan, "Rainbow Colormap",  June. 2015.
+----------------------------------------------
+
+LaTeX
+
+\bibitem{KhanJune2015}
+Murtaza Khan, \emph{Rainbow Colormap}, June 2015.

plotting/Colormaps/RainbowColormap/license.txt

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+Copyright (c) 2015, Murtaza Khan
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+    * Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+    * Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the distribution
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGE.