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vectorfield.py
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vectorfield.py
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import cv2
import numpy as np
width = 1920
height = 1080
origin = (int(width/2), int(height/2))
image = np.zeros((height, width, 3), np.uint8) # Clear frame
def rotate(x, y, d):
rot = (int(x * np.cos(d) - y * np.sin(d)), int(x * np.sin(d) + y * np.cos(d)))
return rot
def angle_btw(u,v):
nu = np.linalg.norm(u)
nv = np.linalg.norm(v)
theta = np.arccos(np.dot(u, v)/(nu*nv))
theta = theta*(180/np.pi)
return theta
def vf(x, y, length, d, norm=True, deg=True):
x1 = x - origin[0]
y1 = -y + origin[1]
vx = y1/np.sqrt(x1**2 + y1**2)
vy = x1/np.sqrt(x1**2 + y1**2)
mag = np.linalg.norm([vx, vy])
vec = [vx, vy]
if deg is True:
degree = angle_btw(vec, [0, 10])
if norm is True:
nv = vec/np.linalg.norm(vec)
vec = (int(nv[0]*length+x), int(nv[1]*length+y))
else:
vec = (int(vec[0])+x1, int(vec[1])+y1)
return vec, mag, degree
def vf_gen(save=False, show=False):
i = 0
count = 0
while True:
image = np.zeros((height, width, 3), np.uint8) # Clear frame
for u in range(10, width, 20):
for v in range(10, height, 20):
vector, m, d = vf(u, v, 10, i, norm=True)
image = cv2.line(image, (u, v), vector, (128, 128, 255*m), 1, lineType=cv2.LINE_AA)
image = cv2.circle(image, vector, 1, (128, 128, 255*m), -1, lineType=cv2.LINE_AA)
#frame = cv2.putText(image, str(int(d)), (u+1, v-2), cv2.FONT_HERSHEY_SIMPLEX, .2, (128, 128, 255*m))
count += 1
if save:
cv2.imwrite("output/vf/" + str(count) + ".png", image)
if show:
cv2.imshow('Vector Field', image)
cv2.waitKey(10000)
if i >= 2*np.pi:
i = 0
break