Affine Invariant ▇▇▇▇▇▇ Points Sample Clauses

Affine Invariant ▇▇▇▇▇▇ Points. The adaptation taking the scale invariant ▇▇▇▇▇▇ points to affine invariance is non­trivial, however, the ideas continue naturally from previous discussions of ▇▇▇▇▇▇ measures and characteristic scale. The adaptation proceeds in an iterative cycle, and can be broken into eight steps: 1. Project the image section under scrutiny into a patch centred co­ordinate space using a transformation matrix “U”. 2. Find the characteristic size for the patch (as previously discussed) 3. Find a Gaussian sigma to maximise the ratio of Eigenvalues for this space (from the set [0.5..0.75]) 4. Relocate the central point of the transformed space (as it may have moved due to the Gaussian blurring) 5. Find the transformed space second moment matrix (as described in Equation 5.9) 6. Update the “U” matrix with the inverse square root of the second moment matrix from step five, then multiply by the “U” matrix from the last iteration 7. Normalise the “U” matrix so that the maximum eigen value of “U” equals one 8. If the second moment matrix is above a threshold stop, otherwise, go to step one
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