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Steven Pinker -- How the Mind Works - Hampshire High Italian ...

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248 | HOW THE MIND WORKS<strong>the</strong> Retinex model sees <strong>the</strong>m as <strong>the</strong> same old checkerboard. Obviously, itis missing something.That something is <strong>the</strong> effect of slant on shading, <strong>the</strong> third taw that turnsa scene into an image. A surface facing a light source head-on reflectsback a lot of light, because <strong>the</strong> light smacks into <strong>the</strong> surface andrebounds right back, A surface angled almost parallel to <strong>the</strong> sourcereflects much less, because most of <strong>the</strong> light grazes off it and continueson its way. If you are positioned near <strong>the</strong> light source, your eye picks upmore light when <strong>the</strong> surface faces you than when it faces almost sideways.You may be able to see <strong>the</strong> difference by shining a flashlight at apiece of gray cardboard and tilting <strong>the</strong> cardboard.<strong>How</strong> might our shading analyzer run <strong>the</strong> law backwards and figureout how a surface is slanted based on how much light it reflects? Thebenefits go beyond estimating <strong>the</strong> slant of a panel. Many objects, likecubes and gems, are composed of slanted faces, so recovering <strong>the</strong> slantsis a way to ascertain <strong>the</strong>ir shape. In fact, any shape can be thought of asa carving made up of millions of tiny facets. Even when <strong>the</strong> surface issmoothly curved so <strong>the</strong> "facets" shrink to points, <strong>the</strong> shading law appliesto <strong>the</strong> light coming off each point. If <strong>the</strong> law could be run backwards, ourshading analyzer could apprehend <strong>the</strong> shape of a surface by registering<strong>the</strong> slant of <strong>the</strong> tangent plane resting on each point,Unfortunately, a given amount of light reflecting off a patch couldhave come from a dark surface angled toward <strong>the</strong> light or from a lightsurface angled away. So <strong>the</strong>re is no foolproof way to recover a surface'sangle from <strong>the</strong> light it reflects without making additional assumptions.A first assumption is that surface lightness is uniform: <strong>the</strong> world ismade of plaster. When surfaces are unevenly pigmented, <strong>the</strong> assumptionis violated, and our shading analyzer should be fooled. It is. Paintings andphotographs are <strong>the</strong> most obvious example. A less obvious one is countershadingin animal camouflage. The hides of many animals lightenfrom hack to belly in a gradient that cancels out <strong>the</strong> effects of light on<strong>the</strong>ir 3-D shapes. This flattens <strong>the</strong> animal, making it harder to detect by<strong>the</strong> assumption-making, shape-from-shading analyzer in <strong>the</strong> brain of apredator. Makeup is ano<strong>the</strong>r example. When applied in sub-Tammy FayeBakker amounts, pigment on <strong>the</strong> skin can fool <strong>the</strong> beholder into seeing

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