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isophota
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There are 8 letters in ISOPHOTA ( A1H4I1O1P3S1T1 )
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Isophota might refer to |
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In geometry, an isophote is a curve on an illuminated surface that connects points of equal brightness. One supposes that the illumination is done by parallel light and the brightness * * * * b * * * {\displaystyle b} * is measured by the following scalar product:* * * * b * ( * P * ) * = * * * * n * → * * * * ( * P * ) * ⋅ * * * * v * → * * * * = * cos * * φ * * . * * * {\displaystyle b(P)={\vec {n}}(P)\cdot {\vec {v}}=\cos \varphi \ .} * * * * * * * * n * → * * * * ( * P * ) * * * {\displaystyle {\vec {n}}(P)} * is the unit normal vector of the surface at point * * * * P * * * {\displaystyle P} * and * * * * * * * v * → * * * * * * {\displaystyle {\vec {v}}} * the unit vector of the light's direction. In case of * * * * b * ( * P * ) * = * 0 * * * {\displaystyle b(P)=0} * , i.e. the light is perpendicular to the surface normal, point * * * * P * * * {\displaystyle P} * is a point of the surface silhouett looked in direction * * * * * * * v * → * * * * * * {\displaystyle {\vec {v}}} * . Brightness 1 means, the lightvector is perpendicular to the surface. A plane has no isophotes, because any point has the same brightness. * In astronomy an isophote is a curve on a photo connecting points of equal brightness. |