用MATLAB图像处理功能实现HSV与RGB颜色的空间互转

thinkfunny · 发表于 2019-12-9 11:22

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废话不多说，没什么技术含量，因为下面的代码是matlab中自带的转换函数。在这里贴出来只是为了方便以后复习、研究其转换的算法：

HSV空间：分别是H(色调)——S(饱和度)——V(亮度)

与HSI颜色空间类似：分别是H(色调)——S(饱和度)——I(强度)

注意：

强度和亮度差不多是一个概念。

饱和度代表的是渗入白光的数量级，白光越多，饱和度越小，白光越少，饱和度越大，表示颜色的纯度更大。

下面是代码：

rgb2hsv.m

function [h,s,v] = rgb2hsv(r,g,b)
%RGB2HSV Convert red-green-blue colors to hue-saturation-value.
% H = RGB2HSV(M) converts an RGB color map to an HSV color map.
% Each map is a matrix with any number of rows, exactly three columns,
% and elements in the interval 0 to 1. The columns of the input matrix,
% M, represent intensity of red, blue and green, respectively. The
% columns of the resulting output matrix, H, represent hue, saturation
% and color value, respectively.
%
% HSV = RGB2HSV(RGB) converts the RGB image RGB (3-D array) to the
% equivalent HSV image HSV (3-D array).
%
% CLASS SUPPORT
% -------------
% If the input is an RGB image, it can be of class uint8, uint16, or
% double; the output image is of class double. If the input is a
% colormap, the input and output colormaps are both of class double.
%
% See also HSV2RGB, COLORMAP, RGBPLOT.
% Undocumented syntaxes:
% [H,S,V] = RGB2HSV(R,G,B) converts the RGB image R,G,B to the
% equivalent HSV image H,S,V.
%
% HSV = RGB2HSV(R,G,B) converts the RGB image R,G,B to the
% equivalent HSV image stored in the 3-D array (HSV).
%
% [H,S,V] = RGB2HSV(RGB) converts the RGB image RGB (3-D array) to
% the equivalent HSV image H,S,V.
%
% See Alvy Ray Smith, Color Gamut Transform Pairs, SIGGRAPH '78.
% Copyright 1984-2006 The MathWorks, Inc.
% $Revision: 5.15.4.3 $ $Date: 2010/08/23 23:13:14 $
switch nargin
case 1,
if isa(r, 'uint8'),
r = double(r) / 255;
elseif isa(r, 'uint16')
r = double(r) / 65535;
end
case 3,
if isa(r, 'uint8'),
r = double(r) / 255;
elseif isa(r, 'uint16')
r = double(r) / 65535;
end
if isa(g, 'uint8'),
g = double(g) / 255;
elseif isa(g, 'uint16')
g = double(g) / 65535;
end
if isa(b, 'uint8'),
b = double(b) / 255;
elseif isa(b, 'uint16')
b = double(b) / 65535;
end
otherwise,
error(message('MATLAB:rgb2hsv:WrongInputNum'));
end
threeD = (ndims(r)==3); % Determine if input includes a 3-D array
if threeD,
g = r(:,:,2); b = r(:,:,3); r = r(:,:,1);
siz = size(r);
r = r(：）; g = g(：）; b = b(：）;
elseif nargin==1,
g = r(:,2); b = r(:,3); r = r(:,1);
siz = size(r);
else
if ~isequal(size(r),size(g),size(b)),
error(message('MATLAB:rgb2hsv:InputSizeMismatch'));
end
siz = size(r);
r = r(：）; g = g(：）; b = b(：）;
end
v = max(max(r,g),b);
h = zeros(size(v));
s = (v - min(min(r,g),b));
z = ~s;
s = s + z;
k = find(r == v);
h(k) = (g(k) - b(k))./s(k);
k = find(g == v);
h(k) = 2 + (b(k) - r(k))./s(k);
k = find(b == v);
h(k) = 4 + (r(k) - g(k))./s(k);
h = h/6;
k = find(h < 0);
h(k) = h(k) + 1;
h=(~z).*h;
k = find(v);
s(k) = (~z(k)).*s(k)./v(k);
s(~v) = 0;
if nargout<=1,
if (threeD || nargin==3),
h = reshape(h,siz);
s = reshape(s,siz);
v = reshape(v,siz);
h=cat(3,h,s,v);
else
h=[h s v];
end
else
h = reshape(h,siz);
s = reshape(s,siz);
v = reshape(v,siz);
end
" e& T; P3 V- s$ Y! z! \: T; q b

hsv2rgb.m

function [rout,g,b] = hsv2rgb(hin,s,v)
%HSV2RGB Convert hue-saturation-value colors to red-green-blue.
% M = HSV2RGB(H) converts an HSV color map to an RGB color map.
% Each map is a matrix with any number of rows, exactly three columns,
% and elements in the interval 0 to 1. The columns of the input matrix,
% H, represent hue, saturation and value, respectively. The columns of
% the resulting output matrix, M, represent intensity of red, blue and
% green, respectively.
%
% RGB = HSV2RGB(HSV) converts the HSV image HSV (3-D array) to the
% equivalent RGB image RGB (3-D array).
%
% As the hue varies from 0 to 1, the resulting color varies from
% red, through yellow, green, cyan, blue and magenta, back to red.
% When the saturation is 0, the colors are unsaturated; they are
% simply shades of gray. When the saturation is 1, the colors are
% fully saturated; they contain no white component. As the value
% varies from 0 to 1, the brightness increases.
%
% The colormap HSV is hsv2rgb([h s v]) where h is a linear ramp
% from 0 to 1 and both s and v are all 1's.
%
% See also RGB2HSV, COLORMAP, RGBPLOT.
% Undocumented syntaxes:
% [R,G,B] = HSV2RGB(H,S,V) converts the HSV image H,S,V to the
% equivalent RGB image R,G,B.
%
% RGB = HSV2RGB(H,S,V) converts the HSV image H,S,V to the
% equivalent RGB image stored in the 3-D array (RGB).
%
% [R,G,B] = HSV2RGB(HSV) converts the HSV image HSV (3-D array) to
% the equivalent RGB image R,G,B.
% See Alvy Ray Smith, Color Gamut Transform Pairs, SIGGRAPH '78.
if nargin == 1 % HSV colormap
threeD = ndims(hin)==3; % Determine if input includes a 3-D array
if threeD,
h = hin(:,:,1); s = hin(:,:,2); v = hin(:,:,3);
else
h = hin(:,1); s = hin(:,2); v = hin(:,3);
end
elseif nargin == 3
if ~isequal(size(hin),size(s),size(v)),
error(message('MATLAB:hsv2rgb:InputSizeMismatch'));
end
h = hin;
else
error(message('MATLAB:hsv2rgb:WrongInputNum'));
end
h = 6.*h;
k = floor(h);
p = h-k;
t = 1-s;
n = 1-s.*p;
p = 1-(s.*(1-p));
% Processing each value of k separately to avoid simultaneously storing
% many temporary matrices the same size as k in memory
kc = (k==0 | k==6);
r = kc;
g = kc.*p;
b = kc.*t;
kc = (k==1);
r = r + kc.*n;
g = g + kc;
b = b + kc.*t;
kc = (k==2);
r = r + kc.*t;
g = g + kc;
b = b + kc.*p;
kc = (k==3);
r = r + kc.*t;
g = g + kc.*n;
b = b + kc;
kc = (k==4);
r = r + kc.*p;
g = g + kc.*t;
b = b + kc;
kc = (k==5);
r = r + kc;
g = g + kc.*t;
b = b + kc.*n;
if nargout <= 1
if nargin == 3 || threeD
rout = cat(3,r,g,b);
else
rout = [r g b];
end
rout = bsxfun(@times, v./max(rout(：）), rout);
else
f = v./max([max(r(：）); max(g(：）); max(b(：）)]);
rout = f.*r;
g = f.*g;
b = f.*b;
end
% \ c6 I8 L% B9 U# K9 O

YNhhU · 发表于 2019-12-9 19:03

看看，谢谢分享。

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用MATLAB图像处理功能实现HSV与RGB颜色的空间互转

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