moc_bezier.h File Reference

Bezier curves of third order and arbitrary order -- header file. More...

Go to the source code of this file.

Data Structures
struct	point_3D
struct	bezier_3_data
struct	bezier_n_data
struct	bezier_3_poly_data
	Data for a polyline constructed from a number of third-order Bezier curves. More...
Defines
#define	MAX_BEZ_DEGREE   20
Functions
int	alloc_bezier_3_poly (struct bezier_3_poly_data *bp, int n)
	Allocate memory for the Bezier polyline data.
int	init_bezier_3 (struct bezier_3_data *b3, struct point_3D *loc0, struct point_3D *loc1, struct point_3D *loc2, struct point_3D *loc3)
int	init_bezier_n (int n, struct bezier_n_data *bn, struct point_3D locarray[])
int	dump_bezier_3 (struct bezier_3_data *b3)
int	eval_bezier_3 (struct bezier_3_data *b3, double t, struct point_3D *loc)
int	eval_bezier_n (struct bezier_n_data *bn, double t, struct point_3D *loc)
int	deriv_bezier_3 (struct bezier_3_data *b3, double t, struct point_3D *dxyzdt)
int	segment_bezier_3_poly (struct bezier_3_poly_data *bp, struct point_3D *loc0, struct point_3D *loc1, struct point_3D *loc2, struct point_3D *loc3, int i)
	Initialize the coordinates of the Bezier control points for Bezier segment i.
int	normalize_bezier_3_poly (struct bezier_3_poly_data *bp)
	Normalize the Bezier polyline so that the parameter t_star varies from 0.0 to 1.0 along the entire curve.
int	dump_bezier_3_poly (struct bezier_3_poly_data *bp)
int	eval_bezier_3_poly (struct bezier_3_poly_data *bp, double t_star, struct point_3D *loc)
	Evaluate the position on the Bezier polyline at given parameter t_star.
int	deriv_bezier_3_poly (struct bezier_3_poly_data *bp, double t_star, struct point_3D *deriv)
int	bezier_3_spline (struct bezier_3_poly_data *bp, int m, struct point_3D p[])
	Given m+1 interpolation points, determine the m-segment Bezier polyline that interpolates these points as a spline.
int	coons_bezier_3 (struct bezier_3_poly_data *c1, struct bezier_3_poly_data *c2, struct bezier_3_poly_data *c3, struct bezier_3_poly_data *c4, double r, double s, struct point_3D *d)
	Compute a location on the Coons patch at parameter position (r,s).

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Detailed Description

Bezier curves of third order and arbitrary order -- header file.

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Function Documentation

int alloc_bezier_3_poly (  struct bezier_3_poly_data *  bp, int  n )

Allocate memory for the Bezier polyline data. Parameters: bp  : pointer to the polyline data structure n  : number of Bezier segments in the polyline Returns -1 if the allocation fails, 0 otherwise.

int bezier_3_spline (  struct bezier_3_poly_data *  bp, int  m, struct point_3D  p[] )

Given m+1 interpolation points, determine the m-segment Bezier polyline that interpolates these points as a spline. This is done by first determining the array of weight points which define the spline and then evaluating the cubic Bezier segments. If successful, data is written directly to the Bezier polyline data structure. function returns an integer status flag: 0 == normal return -1 == NULL pointer to Bezier polyline -2 == invalid value for m -3 == NULL pointer for interpolation points -4 == could not allocate weight-point array Parameters: bp  : (pointer to) the Bezier polyline data bp needs to be allocated before calling this function. m  : number of segments p[]  : array of m+1 data points (i=0...m) Reference: G. Engelin & F. Uhlig (1996) Numerical Algorithms with C Springer, Berlin Section 12.3.1

int coons_bezier_3 (  struct bezier_3_poly_data *  c1, struct bezier_3_poly_data *  c2, struct bezier_3_poly_data *  c3, struct bezier_3_poly_data *  c4, double  r, double  s, struct point_3D *  d )

Compute a location on the Coons patch at parameter position (r,s). Returns 0 for a normal return, -1 otherwise. Parameters: c1,c2,c3,c4  : pointers to the bounding curves These are normalized Bezier polylines. c1 and c2 are the South and North boundaries respectively. The parameter 0 <= r <= 1 traverses them West to East. c3 and c4 are the West and East boundaries respectively. Parameter 0 <= s <= 1 traverses them South to North. r  : West to East parameter, 0 <= r <= 1. s  : South to North parameter, 0 <= s <= 1. d  : pointer to the computed location in (x,y,z)-space

int eval_bezier_3_poly (  struct bezier_3_poly_data *  bp, double  t_star, struct point_3D *  loc )

Evaluate the position on the Bezier polyline at given parameter t_star. Returns 0 if everything was OK, -1 if there was a problem. Parameters: bp  : (pointer to) the Bezier polyline data t_star  : position parameter, 0 <= t_star <= 1.0 loc  : (pointer to) the computed location in 3D

int normalize_bezier_3_poly (  struct bezier_3_poly_data *  bp  )

Normalize the Bezier polyline so that the parameter t_star varies from 0.0 to 1.0 along the entire curve. Returns -1 if the normalization fails, 0 otherwise. Arc length along the Bezier segments is approximated as the sum of the distances between a number of points along each curve. Parameters: bp  : pointer to the polyline data structure

int segment_bezier_3_poly (  struct bezier_3_poly_data *  bp, struct point_3D *  loc0, struct point_3D *  loc1, struct point_3D *  loc2, struct point_3D *  loc3, int  i )

Initialize the coordinates of the Bezier control points for Bezier segment i. Parameters: p3  : (pointer to) the Bezier polyline data loc0-3  : (pointer to) the location of control points 0-3 i  : index of the desired segment, 0 <= i < n

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