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matlabprojectionaffinetransform

Function for 2D Point Projection

I have two sets of points stored in 2x9 matrices. One set is input points, and the other set is the desired output. How can I determine a transform between these two matrices, then generate an equation that could allow me to plug in any point and receive a corresponding output point relative to the other points? I'd prefer answers that are do-able in MatLab. Thanks!

Solution

  • So you have

    OUTPUT = INPUT * SOME_TRANSFORM

    Assuming that it is linear.

    Matlab has a matrix division operation : http://www.mathworks.nl/help/matlab/ref/mldivide.html

    So for given input and output:

    SOME_TRANSFORM = INPUT \ OUTPUT

    Then you can calculate for new input:

    NEW_OUTPUT = NEW_INPUT * SOME_TRANSFORM