Matlab在球体上生成热图

Question

我的点都是球面的一部分。如何创建3D球体，其中球体的颜色取决于点的密度（平滑的）。下图提供了数据点的示例。

使用以下代码，可以为这些点着色：

x = data(:,1);
y = data(:,2);
z = data(:,3);
D = [x(:), y(:), z(:)];
N = numel(x);

%// calculation of color vector
[n,m] = ndgrid(1:N,1:N);
%// euclidian distance of each point to every other point
X = arrayfun(@(a,b) sum( (D(a,:) - D(b,:)).^2 ), n, m);

%// threshold factor
T = 1;

%// sort distances of points
Y = sort(X,2);
%// calculate average distance of the closest T% of all points
Z = mean(Y(:,2:ceil(N*T)),2);

%// plot
colormap jet;
scatter3(x,y,z,20,-Z,'filled');
title('T = 0.01')

现在，我想根据数据为球体着色。下图是随机数据。

[x,y,z] = sphere;
surf(x,y,z,rand(length(x)));
colormap jet
shading interp

我的数据示例：

-0.636016480755703  0.617525876796302   -0.0928047432418846
-0.973951523685005  1.33968621140501    -0.484260283616615
-1.09449677739217   1.95314823996034    -0.997620228061477
-1.27650273224044   2.30054644808743    -1.52076502732240
-1.34107124912069   2.50643151442066    -1.93523263993568
-1.41743718592965   2.64326633165829    -2.38693467336683
-1.52722674072605   2.66172386431264    -2.68924816504662
-1.78737177571955   2.53918932377253    -2.86176675629917
-2.13798636181308   2.25411151223426    -2.71760930605696
-2.63246062794664   1.72971210753335    -2.72474671481593
-3.03187531422826   1.12946204122675    -3.07732528909000
-3.24477552244776   0.394710528947106   -3.67518248175182
2.78947368421053    1.11300309597523    -4.46904024767802
2.49650108417110    1.17716341415336    -4.93987778434851
2.52268839923534    0.940134822416742   -5.07883086829661
2.87130058385343    0.507398832293135   -4.76887457217636
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3.11987397479496    0.702540508101620   -3.94573914782957
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