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    $\begingroup$ The incoming direction woW(coming from eye) is filipped as in pbrt "the incoming and outgoing vectors direction are outward facing, after being transformed into local coordinate system, at the surface". It's just pbrt convention to ease the calculation. $\endgroup$ Commented Sep 7, 2017 at 3:54
  • $\begingroup$ @ali Please post that as an answer. Comments are for seeking clarification, not for answering the question. $\endgroup$ Commented Sep 7, 2017 at 8:44