// COTD Entry submitted by John W. Ratcliff [jratcliff@verant.com] // ** THIS IS A CODE SNIPPET WHICH WILL EFFICIEINTLY TRIANGULATE ANY // ** POLYGON/CONTOUR (without holes) AS A STATIC CLASS. THIS SNIPPET // ** IS COMPRISED OF 3 FILES, TRIANGULATE.H, THE HEADER FILE FOR THE // ** TRIANGULATE BASE CLASS, TRIANGULATE.CPP, THE IMPLEMENTATION OF // ** THE TRIANGULATE BASE CLASS, AND TEST.CPP, A SMALL TEST PROGRAM // ** DEMONSTRATING THE USAGE OF THE TRIANGULATOR. THE TRIANGULATE // ** BASE CLASS ALSO PROVIDES TWO USEFUL HELPER METHODS, ONE WHICH // ** COMPUTES THE AREA OF A POLYGON, AND ANOTHER WHICH DOES AN EFFICENT // ** POINT IN A TRIANGLE TEST. // ** SUBMITTED BY JOHN W. RATCLIFF (jratcliff@verant.com) July 22, 2000 /**********************************************************************/ /************ HEADER FILE FOR TRIANGULATE.H ***************************/ /**********************************************************************/ #ifndef TRIANGULATE_H #define TRIANGULATE_H /*****************************************************************/ /** Static class to triangulate any contour/polygon efficiently **/ /** You should replace Vector2d with whatever your own Vector **/ /** class might be. Does not support polygons with holes. **/ /** Uses STL vectors to represent a dynamic array of vertices. **/ /** This code snippet was submitted to FlipCode.com by **/ /** John W. Ratcliff (jratcliff@verant.com) on July 22, 2000 **/ /** I did not write the original code/algorithm for this **/ /** this triangulator, in fact, I can't even remember where I **/ /** found it in the first place. However, I did rework it into **/ /** the following black-box static class so you can make easy **/ /** use of it in your own code. Simply replace Vector2d with **/ /** whatever your own Vector implementation might be. **/ /*****************************************************************/ #include // Include STL vector class. class Vector2d { public: Vector2d(float x,float y) { Set(x,y); }; float GetX(void) const { return mX; }; float GetY(void) const { return mY; }; void Set(float x,float y) { mX = x; mY = y; }; private: float mX; float mY; }; // Typedef an STL vector of vertices which are used to represent // a polygon/contour and a series of triangles. typedef std::vector< Vector2d > Vector2dVector; class Triangulate { public: // triangulate a contour/polygon, places results in STL vector // as series of triangles. static bool Process(const Vector2dVector &contour, Vector2dVector &result); // compute area of a contour/polygon static float Area(const Vector2dVector &contour); // decide if point Px/Py is inside triangle defined by // (Ax,Ay) (Bx,By) (Cx,Cy) static bool InsideTriangle(float Ax, float Ay, float Bx, float By, float Cx, float Cy, float Px, float Py); private: static bool Snip(const Vector2dVector &contour,int u,int v,int w,int n,int *V); }; #endif /**************************************************************************/ /*** END OF HEADER FILE TRIANGULATE.H BEGINNING OF CODE TRIANGULATE.CPP ***/ /**************************************************************************/