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matlab求解曲面的高斯曲率、曲率的均值及最大值、最小值

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代碼片段和文件信息

function?[KHPmaxPmin]?=?surfature(XYZ)
%?SURFATURE?-??COMPUTE?GAUSSIAN?AND?MEAN?CURVATURES?OF?A?SURFACE
%???[KH]?=?SURFATURE(XYZ)?WHERE?XYZ?ARE?2D?ARRAYS?OF?POINTS?ON?THE
%???SURFACE.??K?AND?H?ARE?THE?GAUSSIAN?AND?MEAN?CURVATURES?RESPECTIVELY.
%???SURFATURE?RETURNS?2?ADDITIONAL?ARGUEMENTS
%???[KHPmaxPmin]?=?SURFATURE(...)?WHERE?Pmax?AND?Pmin?ARE?THE?MINIMUM
%???AND?MAXIMUM?CURVATURES?AT?EACH?POINT?RESPECTIVELY.


%?First?Derivatives

[XuXv]?=?gradient(X);
[YuYv]?=?gradient(Y);
[ZuZv]?=?gradient(Z);

%?Second?Derivatives
[XuuXuv]?=?gradient(Xu);
[YuuYuv]?=?gradient(Yu);
[ZuuZuv]?=?gradient(Zu);

[XuvXvv]?=?gradient(Xv);
[YuvYvv]?=?gradient(Yv);
[ZuvZvv]?=?gradient(Zv);

%?Reshape?2D?Arrays?into?Vectors
Xu?=?Xu(:);???Yu?=?Yu(:);???Zu?=?Zu(:);?
Xv?=?Xv(:);???Yv?=?Yv(:);???Zv?=?Zv(:);?
Xuu?=?Xuu(:);?Yuu?=?Yuu(:);?Zuu?=?Zuu(:);?
Xuv?=?Xuv(:);?Y

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