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Acquire reflection texture and possible refraction one via planar reflection

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So after some research i chose to do planar reflection for flat water surface, and maybe for some windows etc.

However over net there are some things not covered up entirely like: reflection matrix, and how would i draw refraction texture.

so first of all they claim to use reflection matrix and multiple point by it. But wait a second (http://web.cse.ohio-state.edu/~shen.94/781/Site/Slides_files/reflection.pdf​ page 6)

Not to mention what is actually 4th column (2(P.v)V.x) ???? (P.V) means dot of itself or wat?

How would i even try …


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