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The Cohen–Sutherland algorithm is a computer graphics algorithm used for line clipping. The algorithm divides a two-dimensional space into 9 regions (or a three-dimensional space into 27 regions), and then efficiently determines the lines and portions of lines that are visible in the center region of interest (the viewport). The algorithm was developed in 1967 during flight simulator work by Danny Cohen and Ivan Sutherland.〔''Principles of Interactive Computer Graphics'' p.124 and p.252, by Bob Sproull and William M. Newman, 1973, McGraw–Hill Education, International edition, ISBN 0-07-085535-8〕 ==The Algorithm== The algorithm includes, excludes or partially includes the line based on where: * Both endpoints are in the viewport region (bitwise OR of endpoints == 0): trivial accept. * Both endpoints share at least one non-visible region which implies that the line does not cross the visible region. (bitwise AND of endpoints != 0): trivial reject. * Both endpoints are in different regions: In case of this nontrivial situation the algorithm finds one of the two points that is outside the viewport region (there will be at least one point outside). The intersection of the outpoint and extended viewport border is then calculated (i.e. with the parametric equation for the line) and this new point replaces the outpoint. The algorithm repeats until a trivial accept or reject occurs. The numbers in the figure below are called outcodes. An outcode is computed for each of the two points in the line. The outcode will have four bits for two-dimensional clipping, or six bits in the three-dimensional case. The first bit is set to 1 if the point is above the viewport. The bits in the 2D outcode represent: Top, Bottom, Right, Left. For example the outcode 1010 represents a point that is top-right of the viewport. Note that the outcodes for endpoints must be recalculated on each iteration after the clipping occurs. The Cohen–Sutherland algorithm can be used only on a rectangular clipping area. For other convex polygon clipping windows, use the Cyrus–Beck algorithm. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Cohen–Sutherland algorithm」の詳細全文を読む スポンサード リンク
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