Daniel@0: .TH LIBPATH 3 "01 APRIL 1997" Daniel@0: .SH NAME Daniel@0: \fBlibpathplan\fR \- finds and smooths shortest paths Daniel@0: .SH SYNOPSIS Daniel@0: .ta .75i 1.5i 2.25i 3i 3.75i 4.5i 5.25i 6i Daniel@0: .PP Daniel@0: .nf Daniel@0: \f5 Daniel@0: #include Daniel@0: Daniel@0: typedef struct Pxy_t { Daniel@0: double x, y; Daniel@0: } Pxy_t; Daniel@0: Daniel@0: typedef struct Pxy_t Ppoint_t; Daniel@0: typedef struct Pxy_t Pvector_t; Daniel@0: Daniel@0: typedef struct Ppoly_t { Daniel@0: Ppoint_t *ps; Daniel@0: int pn; Daniel@0: } Ppoly_t; Daniel@0: Daniel@0: typedef Ppoly_t Ppolyline_t; Daniel@0: Daniel@0: typedef struct Pedge_t { Daniel@0: Ppoint_t a, b; Daniel@0: } Pedge_t; Daniel@0: Daniel@0: typedef struct vconfig_s vconfig_t; Daniel@0: Daniel@0: #define POLYID_NONE Daniel@0: #define POLYID_UNKNOWN Daniel@0: Daniel@0: \fP Daniel@0: .fi Daniel@0: .SH FUNCTIONS Daniel@0: Daniel@0: .nf Daniel@0: \f5 Daniel@0: int Pshortestpath(Ppoly_t *boundary, Ppoint_t endpoints[2], Ppolyline_t *output_route); Daniel@0: \fP Daniel@0: .fi Daniel@0: Finds a shortest path between two points in a simple polygon. Daniel@0: You pass endpoints interior to the polygon boundary. Daniel@0: A shortest path connecting the points that remains in the polygon Daniel@0: is returned in output_route. If either endpoint does not lie in Daniel@0: the polygon, an error code is returned. (what code!!) Daniel@0: Daniel@0: .nf Daniel@0: \f5 Daniel@0: vconfig_t *Pobsopen(Ppoly_t **obstacles, int n_obstacles); Daniel@0: .br Daniel@0: int Pobspath(vconfig_t *config, Ppoint_t p0, int poly0, Ppoint_t p1, int poly1, Ppolyline_t *output_route); Daniel@0: .br Daniel@0: void Pobsclose(vconfig_t *config); Daniel@0: \fP Daniel@0: .fi Daniel@0: These functions find a shortest path between two points in a Daniel@0: simple polygon that possibly contains polygonal obstacles (holes). Daniel@0: \f5Pobsopen\fP creates a configuration (an opaque struct of type Daniel@0: \f5vconfig_t\fP) on a set of obstacles. \f5Pobspath\fP finds Daniel@0: a shortest path between the endpoints that remains outside the Daniel@0: obstacles. If the endpoints are known to lie inside obstacles, Daniel@0: \f5poly0\fP or \f5poly1\fP should be set to the index in the Daniel@0: \f5obstacles\fP array. If an endpoint is definitely not inside Daniel@0: an obstacle, then \f5POLYID_NONE\fP should be passed. If the Daniel@0: caller has not checked, then \f5POLYID_UNKNOWN\fP should be passed, Daniel@0: and the path library will perform the test. Daniel@0: Daniel@0: (!! there is no boundary polygon in this model?!!!) Daniel@0: Daniel@0: .nf Daniel@0: \f5 Daniel@0: int Proutespline (Pedge_t *barriers, int n_barriers, Ppolyline_t input_route, Pvector_t endpoint_slopes[2], Daniel@0: Ppolyline_t *output_route); Daniel@0: \fP Daniel@0: .fi Daniel@0: Daniel@0: This function fits a Bezier curve to a polyline path. Daniel@0: The curve must avoid a set of barrier segments. The polyline Daniel@0: is usually the \f5output_route\fP of one of the shortest path Daniel@0: finders, but it can be any simple path that doesn't cross Daniel@0: any obstacles. The input also includes endpoint slopes and Daniel@0: 0,0 means unconstrained slope. Daniel@0: Daniel@0: Finally, this utility function converts an input list of polygons Daniel@0: into an output list of barrier segments: Daniel@0: .nf Daniel@0: \f5 Daniel@0: int Ppolybarriers(Ppoly_t **polys, int n_polys, Pedge_t **barriers, int *n_barriers); Daniel@0: \fP Daniel@0: .fi Daniel@0: Daniel@0: .SH AUTHORS Daniel@0: David Dobkin (dpd@cs.princeton.edu), Daniel@0: Eleftherios Koutsofios (ek@research.att.com), Daniel@0: Emden Gansner (erg@research.att.com).