MATLAB如何在两个颜色间产生任意多个过渡色？
1、目的：计算[R1, G1, B1]、[R2, G2, B2]两种颜色的N个过渡色
思路：
1.两种[R1, G1, B1]、[R2, G2, B2]颜色对应三维RGB空间中的两个点；
2.两点坐标之差[R2-R1, G2-G1, B2-B1]即为一向量V；
3.通过将向量V分为N-1段，V/(N-1)；
4.则颜色[R1, G1, B1]+(i-1)*V/(N-1)表示将两个颜色间分为N个过渡色的第i个颜色；
5.上式当i=1，即为[R1, G1, B1]。当i=N，即为[R2, G2, B2]。
2、过渡颜色计算子程序如下：
%Matlab codes
%
function ResultColor=Transition_Two_Color(Color1,Color2,N)
%Transition_Two_Color()
% This function is used to calculate the linear transition color between two colors.
% The generated color gradually changes from the first color to the second color.
%Input：
% Color1,
% initial color, 1x3 matrix，RGB or HSV, such as [55,130,189]
% Color2,
% end color, 1x3 matrix，RGB or HSV, such as [235,25,28]
% N，
% positive integer, number of transition，such as 4
%Output：
% ResultColor，
% Nx3 matrix, the first line is the initial color, the last line is the end color
%
%
quiverC1C2=(Color2-Color1)/(N-1);%每一小段的增量
ResultColor=zeros(N,3);%每一行代表一个过渡颜色，第一行代表初始颜色，最后一行代表末端颜色
for i=1:N
ResultColor(i,:)=Color1+quiverC1C2*(i-1);%所有颜色
end
end
3、实例1：输出不同相位下的sin(x)
%Example 1:
%
clc;
x=1:0.1:20;
phase=[0,0.5*pi,pi,1.5*pi];
Color1=[55,130,189];
Color2=[235,25,28];
ResultColor=Transition_Two_Color(Color1,Color2,length(phase));%Get the transition color
figure;
subplot(1,2,1)%sin
for iPhase=1:length(phase)
y=sin(x+phase(iPhase));
plot(x,y,'linewidth',1.5,'color',ResultColor(iPhase,:)/256);%[R,G,B] in plot.m should convert to range 0 to 1
hold on;
end
legend({'phase=0','phase=0.5*pi','phase=pi','phase=1.5*pi'},'FontName','Times New Roman','Fontsize',16);
set(gca,'linewidth',1.5,'FontName','Times New Roman','FontSize',16);
xlabel('x');ylabel('sin(x+Phase)');
title('sin(x+Phase)');
实例1结果如下图所示。
4、实例2：输出不同底数的指数函数
%Example 2:
clc;
x=-5:0.1:5;
BaseNum=[-2,-1,1,2];
Color1=[55,130,189];
Color2=[235,25,28];
ResultColor=Transition_Two_Color(Color1,Color2,length(BaseNum));
for iBaseNum=1:length(BaseNum)
y=BaseNum(iBaseNum).^x;
plot(x,y,'linewidth',1.5,'color',ResultColor(iBaseNum,:)/256);%[R,G,B] in plot.m should convert to range 0 to 1
hold on;
end
set(gca,'linewidth',1.5,'FontName','Times New Roman','FontSize',16);
legend({'BaseNum=-2','BaseNum=-1','BaseNum=1','BaseNum=2'},'FontName','Times New Roman','Fontsize',16);
xlabel('x');ylabel('BaseNum\^x');
title('BaseNum\^x');
实例2结果如下图所示。
