__all__ = ['polygon_clip', 'polygon_area'] import numpy as np def polygon_clip(yp, xp, r0, c0, r1, c1): """Clip a polygon to the given bounding box. Parameters ---------- yp, xp : (N,) ndarray of double Row and column coordinates of the polygon. (r0, c0), (r1, c1) : double Top-left and bottom-right coordinates of the bounding box. Returns ------- y_clipped, x_clipped : (M,) ndarray of double Coordinates of clipped polygon. Notes ----- This makes use of Sutherland-Hodgman clipping as implemented in AGG 2.4 and exposed in Matplotlib. """ from matplotlib import path, transforms poly = path.Path(np.vstack((yp, xp)).T, closed=True) clip_rect = transforms.Bbox([[r0, c0], [r1, c1]]) poly_clipped = poly.clip_to_bbox(clip_rect).to_polygons()[0] return poly_clipped[:, 0], poly_clipped[:, 1] def polygon_area(py, px): """Compute the area of a polygon. Parameters ---------- py, px : (N,) array of float Polygon coordinates. Returns ------- a : float Area of the polygon. """ py = np.asarray(py) px = np.asarray(px) return 0.5 * np.abs(np.sum((px[:-1] * py[1:]) - (px[1:] * py[:-1])))