3D line approximation (spline)

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Hongying LI
Hongying LI 2011-2-21
Hi everyone,
How can we use "spline" to approximate a sequence of points in three dimension rather than interpolate?
  2 个评论
Hongying LI
Hongying LI 2011-2-21
I do look for a "approximation" method for a line in "3D".(I have done the interpolation)
Hongying LI
Hongying LI 2011-2-22
% choose the number of pieces
pieces = 3;
s = cumsum([0;sqrt(diff(x(:)).^2 + diff(y(:)).^2 + diff(z(:)).^2)]);
pp1 = splinefit(s,xyz,pieces);
xyz1 = ppval(pp1,s);

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回答（1 个）

Bruno Luong
Bruno Luong 2011-2-21
  4 个评论
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Hongying LI
Hongying LI 2011-2-21
Thanks Bruno,
This is my previous codes:
function newCurve = spline3dCurveInterpolation(curve, dt)
% interpote a 3d curve using spline
% path 3*x
% newPath 3*x
x = curve(1, :);
y = curve(2, :);
z = curve(3, :);
t = cumsum([0;sqrt(diff(x(:)).^2 + diff(y(:)).^2 + diff(z(:)).^2)]);
sx = spline(t,x);
sy = spline(t,y);
sz = spline(t,z);
tt = t(1):dt:t(end);
xp = ppval(sx, tt);
yp = ppval(sy, tt);
zp = ppval(sz, tt);
newCurve = [xp; yp; zp];
% end of function
Now, I'm thinking about the approximation and I don't want the line strictly pass the original points.(maybe I still don't understand your answer)
Bruno Luong
Bruno Luong 2011-2-21
Did you try the FEX file (try the first one) above? They are approximation (fitting) not interpolation, exactly as your request if I'm not mistaken.

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