Solve matrix series equation

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Ramesh Kithsiri
Ramesh Kithsiri 2021-11-13
编辑： David Goodmanson 2021-11-14
I have 7x2 matrix and 7x3 matrix that contains 2D coordinates and related 3D coordinates. I need to find the projection matrix( ) by using these 14 coordinates in below equation.
I gave a try using symbolic math toolbox. But I could not figure out a way to continue from this step.
syms x [2,1];
syms X [3,1];
syms r [2,3];
eq = x==r*X;
  1 个评论
Rik
Rik 2021-11-13
An exact solution might not be possible with numeric inputs. Did you try a numeric fitter? A right-division of one of the 2D sets by the 3D counterpart might give you a reasonable initial estimate for the projection matrix.

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回答（1 个）

David Goodmanson
David Goodmanson 2021-11-14
编辑：David Goodmanson 2021-11-14
Hi Ramesh,
This is an overdetermined system, but if you define x as a 2x7 matrix of 2d coordinate values and X as a corresponding 3x7 matrix of 3d coordinate values, then
r = x/X
provides a least squares solution for r.

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