google / stereo-magnification

Code accompanying the SIGGRAPH 2018 paper "Stereo Magnification: Learning View Synthesis using Multiplane Images"
https://people.eecs.berkeley.edu/~tinghuiz/projects/mpi/
Apache License 2.0
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Derivation of formula (2), inverse homography #19

Closed zikuicai closed 5 years ago

zikuicai commented 5 years ago

Can anyone help explain the derivation of formula (2) in the paper?

Screen Shot 2019-08-05 at 5 35 46 PM

I understand the equation (13.2) from [Hartley and Zisserman 2003]: image However, I still find it hard to understand what's in the parentheses of formula (2), especially the denominator. Can anyone help? Many thanks in advance.

iszihan commented 4 years ago

I have the same confusion, did you find an answer to this?

zikuicai commented 4 years ago

Yes. You can use Sherman-Morrison formula to find the inverse homography.

Jaswers commented 3 years ago

image Sherman-Morrison formula