Difference between revisions of "SCI/FreeSCI/Pathfinding/Specification"

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oops, wrote <u> instead <i>
(Merging of the FreeSCI Pathfinding documentation. Work in progress.)
 
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This function computes a path from a start point to an end point, avoiding a set of polygons. We start out by formalizing the main notions from Section 2.2.
This function computes a path from a start point to an end point, avoiding a set of polygons. We start out by formalizing the main notions from Section 2.2.


A point v is a position in the plane. Let <u>x(v)</i> denote the x–coordinate of <i>v</i> and <i>y(v)</i> the y–coordinate of <i>v</i>.  
A point v is a position in the plane. Let <i>x(v)</i> denote the x–coordinate of <i>v</i> and <i>y(v)</i> the y–coordinate of <i>v</i>.  


A path is a list of points (v<sub>0</sub> , &hellip;, v<sub>n</sub> ) and a polygon is a closed path. We now define the near point:
A path is a list of points (v<sub>0</sub> , &hellip;, v<sub>n</sub> ) and a polygon is a closed path. We now define the near point:
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