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Math Help - Calculating vanishing points with Linear Algebra.

  1. #1
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    Calculating vanishing points with Linear Algebra.

    Calculating vanishing points with Linear Algebra.
    I'm trying to calculate the vanishing lines of a picture of a box.
    I get that you represent the x,y positions of the vertices as [x, y, 1].
    But what does it mean that you obtain a supporting line [a, b, c] with the cross-product of two vertices? What do a, b, and c represent, and what does the cross-multiplying represent?
    And how does cross-multiplying two supporting lines return the vanishing point in 3D?
    I'm trying to implement this paper on images of a box, with [x, y, 1] being pixels, and I'm doing the above steps to obtain the vanishing lines of each face of the box.

    Arithmomaniac

    [Disclaimer: cross-posted on another forum].
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  2. #2
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    It returns 2D coordinates/lines, as long as you homogenize in each step. see here.
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