matplotlib.bezier A module providing some utility functions regarding Bezier path manipulation.   classmatplotlib.bezier.BezierSegment(control_points)[source]
 
Bases: object A d-dimensional Bezier segment.  Parameters 
 
control_points(N, d) array


Location of the N control points.       axis_aligned_extrema()[source]
 
Return the dimension and location of the curve's interior extrema. The extrema are the points along the curve where one of its partial derivatives is zero.  Returns 
 
dimsarray of int


Index \(i\) of the partial derivative which is zero at each interior extrema.  
dzerosarray of float


Of same size as dims. The \(t\) such that \(d/dx_i B(t) = 0\)     
   propertycontrol_points
 
The control points of the curve. 
   propertydegree
 
Degree of the polynomial. One less the number of control points. 
   propertydimension
 
The dimension of the curve. 
   point_at_t(t)[source]
 
Evaluate the curve at a single point, returning a tuple of d floats. 
   propertypolynomial_coefficients
 
The polynomial coefficients of the Bezier curve.  Warning Follows opposite convention from numpy.polyval.   Returns 
 (n+1, d) array

Coefficients after expanding in polynomial basis, where \(n\) is the degree of the bezier curve and \(d\) its dimension. These are the numbers (\(C_j\)) such that the curve can be written \(\sum_{j=0}^n C_j t^j\).     Notes The coefficients are calculated as  \[{n \choose j} \sum_{i=0}^j (-1)^{i+j} {j \choose i} P_i\] where \(P_i\) are the control points of the curve. 
 
   exceptionmatplotlib.bezier.NonIntersectingPathException[source]
 
Bases: ValueError 
   matplotlib.bezier.check_if_parallel(dx1, dy1, dx2, dy2, tolerance=1e-05)[source]
 
Check if two lines are parallel.  Parameters 
 
dx1, dy1, dx2, dy2float


The gradients dy/dx of the two lines.  
tolerancefloat


The angular tolerance in radians up to which the lines are considered parallel.    Returns 
 is_parallel

 1 if two lines are parallel in same direction. -1 if two lines are parallel in opposite direction. False otherwise.      
   matplotlib.bezier.find_bezier_t_intersecting_with_closedpath(bezier_point_at_t, inside_closedpath, t0=0.0, t1=1.0, tolerance=0.01)[source]
 
Find the intersection of the Bezier curve with a closed path. The intersection point t is approximated by two parameters t0, t1 such that t0 <= t <= t1. Search starts from t0 and t1 and uses a simple bisecting algorithm therefore one of the end points must be inside the path while the other doesn't. The search stops when the distance of the points parametrized by t0 and t1 gets smaller than the given tolerance.  Parameters 
 
bezier_point_at_tcallable


A function returning x, y coordinates of the Bezier at parameter t. It must have the signature: bezier_point_at_t(t: float) -> tuple[float, float]
  
inside_closedpathcallable


A function returning True if a given point (x, y) is inside the closed path. It must have the signature: inside_closedpath(point: tuple[float, float]) -> bool
  
t0, t1float


Start parameters for the search.  
tolerancefloat


Maximal allowed distance between the final points.    Returns 
 
t0, t1float


The Bezier path parameters.     
   matplotlib.bezier.find_control_points(c1x, c1y, mmx, mmy, c2x, c2y)[source]
 
Find control points of the Bezier curve passing through (c1x, c1y), (mmx, mmy), and (c2x, c2y), at parametric values 0, 0.5, and 1. 
   matplotlib.bezier.get_cos_sin(x0, y0, x1, y1)[source]

   matplotlib.bezier.get_intersection(cx1, cy1, cos_t1, sin_t1, cx2, cy2, cos_t2, sin_t2)[source]
 
Return the intersection between the line through (cx1, cy1) at angle t1 and the line through (cx2, cy2) at angle t2. 
   matplotlib.bezier.get_normal_points(cx, cy, cos_t, sin_t, length)[source]
 
For a line passing through (cx, cy) and having an angle t, return locations of the two points located along its perpendicular line at the distance of length. 
   matplotlib.bezier.get_parallels(bezier2, width)[source]
 
Given the quadratic Bezier control points bezier2, returns control points of quadratic Bezier lines roughly parallel to given one separated by width. 
   matplotlib.bezier.inside_circle(cx, cy, r)[source]
 
Return a function that checks whether a point is in a circle with center (cx, cy) and radius r. The returned function has the signature: f(xy: tuple[float, float]) -> bool
 
   matplotlib.bezier.make_wedged_bezier2(bezier2, width, w1=1.0, wm=0.5, w2=0.0)[source]
 
Being similar to get_parallels, returns control points of two quadratic Bezier lines having a width roughly parallel to given one separated by width. 
   matplotlib.bezier.split_bezier_intersecting_with_closedpath(bezier, inside_closedpath, tolerance=0.01)[source]
 
Split a Bezier curve into two at the intersection with a closed path.  Parameters 
 
bezier(N, 2) array-like


Control points of the Bezier segment. See BezierSegment.  
inside_closedpathcallable


A function returning True if a given point (x, y) is inside the closed path. See also find_bezier_t_intersecting_with_closedpath.  
tolerancefloat


The tolerance for the intersection. See also find_bezier_t_intersecting_with_closedpath.    Returns 
 left, right

Lists of control points for the two Bezier segments.     
   matplotlib.bezier.split_de_casteljau(beta, t)[source]
 
Split a Bezier segment defined by its control points beta into two separate segments divided at t and return their control points. 
   matplotlib.bezier.split_path_inout(path, inside, tolerance=0.01, reorder_inout=False)[source]
 
Divide a path into two segments at the point where inside(x, y) becomes False.