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WaveCam_Demo.py
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194 lines (169 loc) · 7.61 KB
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# Importing the relevant packages
import numpy as np
import cv2
freq = 20000
nm = 2
c0 = (346.13, 0)
rho = (1.2, 1.0e6)
wavelmin = c0[0] / freq
# The main class that defines all constants, variables, and functions
class fdtdVar:
def __init__(self, rs, cs):
# Constants
cn = 1.0 / np.sqrt(2.0) # Courant number
# Variables
self.r = np.int(rs) # number of rows
self.c = np.int(cs) # number of columns
self.freq = freq # frequency of source
temp = (self.r, self.c + 1)
self.vx = np.zeros(temp) # velocity along x
self.mvx = np.zeros(temp, dtype=np.int8)
temp = (self.r + 1, self.c)
self.vy = np.zeros(temp) # velocity along y
self.mvy = np.zeros(temp, dtype=np.int8)
temp = (self.r, self.c)
self.pr = np.zeros(temp) # pressure
self.gaussamp = np.zeros(temp)
self.mpr = np.zeros(temp, dtype=np.int8)
self.dx = wavelmin/25.0 # grid cell size
self.dt = cn * self.dx / np.amax(c0) # time step size
self.ca = np.ones(nm)
self.cb = np.ones(nm)
self.da = np.ones(nm)
self.db = np.ones(nm)
for i in range(0, nm, 1):
self.cb[i] = c0[i] ** 2 * rho[i] * self.dt / self.dx
self.db[i] = self.dt / (rho[i] * self.dx)
self.da[1] = 0
temp = (self.r, 2, 2)
self.vxl = np.zeros(temp)
self.vxr = np.zeros(temp)
temp = (self.c, 2, 2)
self.vyb = np.zeros(temp)
self.vyt = np.zeros(temp)
rtemp = np.arange(0, self.r, 1)
ctemp = np.arange(0, self.c, 1)
rm, cm = np.meshgrid(rtemp, ctemp)
rc = np.int(self.r / 2)
cc = np.int(self.c / 2)
fwhmc = 2
fwhmr = fwhmc
self.gaussamp = np.exp(-((rm - rc) ** 2 / (2 * fwhmr ** 2) + (cm - cc) ** 2 / (2 * fwhmc ** 2))).T
def source(self, nt):
rm = self.r
cm = self.c
prs = self.dx * np.sin(2 * np.pi * self.freq * nt * self.dt) / self.cb[0]
# Update pressure with source
self.pr[1:rm - 1, 1:cm - 1] = (self.pr[1:rm - 1, 1:cm - 1]
- self.cb[self.mpr[1:rm - 1, 1:cm - 1]] * prs
* self.gaussamp[1:rm - 1, 1:cm - 1] / self.dx)
def fdtd_update(self):
ri = self.r
ci = self.c
self.pr[0:ri, 0:ci] = (self.ca[self.mpr[0:ri, 0:ci]] * self.pr[0:ri, 0:ci]
- self.cb[self.mpr[0:ri, 0:ci]]
* ((self.vx[0:ri, 1:ci + 1] - self.vx[0:ri, 0:ci])
+ (self.vy[1:ri + 1, 0:ci] - self.vy[0:ri, 0:ci])))
self.vx[0:ri, 1:ci] = (self.da[self.mvx[0:ri, 1:ci]] * self.vx[0:ri, 1:ci]
- self.db[self.mvx[0:ri, 1:ci]] * (self.pr[0:ri, 1:ci] - self.pr[0:ri, 0:ci - 1]))
self.vy[1:ri, 0:ci] = (self.da[self.mvy[1:ri, 0:ci]] * self.vy[1:ri, 0:ci]
- self.db[self.mvy[1:ri, 0:ci]] * (self.pr[1:ri, 0:ci] - self.pr[0:ri - 1, 0:ci]))
def boundary(self):
ri = self.r
ci = self.c
c1 = (c0[0] * self.dt - self.dx) / (c0[0] * self.dt + self.dx)
c2 = 2 * self.dx / (c0[0] * self.dt + self.dx)
c3 = (c0[0] * self.dt) ** 2 / (2 * self.dx * (c0[0] * self.dt + self.dx))
# Left and right boundaries
self.vx[1:ri - 1, 0] = (-self.vxl[1:ri - 1, 1, 1]
+ c1 * (self.vx[1:ri - 1, 1] + self.vxl[1:ri - 1, 0, 1])
+ c2 * (self.vxl[1:ri - 1, 0, 0] + self.vxl[1:ri - 1, 1, 0])
+ c3 * (self.vxl[2:ri, 0, 0] - 2 * self.vxl[1:ri - 1, 0, 0]
+ self.vxl[0:ri - 2, 0, 0] + self.vxl[2:ri, 1, 0]
- 2 * self.vxl[1:ri - 1, 1, 0] + self.vxl[0:ri - 2, 1, 0]))
self.vx[1:ri - 1, ci] = (-self.vxr[1:ri - 1, 1, 1]
+ c1 * (self.vx[1:ri - 1, ci - 1] + self.vxr[1:ri - 1, 0, 1])
+ c2 * (self.vxr[1:ri - 1, 0, 0] + self.vxr[1:ri - 1, 1, 0])
+ c3 * (self.vxr[2:ri, 0, 0] - 2 * self.vxr[1:ri - 1, 0, 0]
+ self.vxr[0:ri - 2, 0, 0] + self.vxr[2:ri, 1, 0]
- 2 * self.vxr[1:ri - 1, 1, 0] + self.vxr[0:ri - 2, 1, 0]))
# Bottom and top boundaries
self.vy[0, 1:ci - 1] = (-self.vyb[1:ci - 1, 1, 1]
+ c1 * (self.vy[1, 1:ci - 1] + self.vyb[1:ci - 1, 0, 1])
+ c2 * (self.vyb[1:ci - 1, 0, 0] + self.vyb[1:ci - 1, 1, 0])
+ c3 * (self.vyb[2:ci, 0, 0] - 2 * self.vyb[1:ci - 1, 0, 0]
+ self.vyb[0:ci - 2, 0, 0] + self.vyb[2:ci, 1, 0]
- 2 * self.vyb[1:ci - 1, 1, 0] + self.vyb[0:ci - 2, 1, 0]))
self.vy[ri, 1:ci - 1] = (-self.vyt[1:ci - 1, 1, 1]
+ c1 * (self.vy[ri - 1, 1:ci - 1] + self.vyt[1:ci - 1, 0, 1])
+ c2 * (self.vyt[1:ci - 1, 0, 0] + self.vyt[1:ci - 1, 1, 0])
+ c3 * (self.vyt[2:ci, 0, 0] - 2 * self.vyt[1:ci - 1, 0, 0]
+ self.vyt[0:ci - 2, 0, 0] + self.vyt[2:ci, 1, 0]
- 2 * self.vyt[1:ci - 1, 1, 0] + self.vyt[0:ci - 2, 1, 0]))
Corners
self.vx[0, 0] = self.vxl[1, 1, 1]
self.vx[ri - 1, 0] = self.vxl[ri - 2, 1, 1]
self.vx[0, ci] = self.vxr[1, 1, 1]
self.vx[ri - 1, ci] = self.vxr[ri - 2, 1, 1]
self.vy[0, 0] = self.vyb[1, 1, 1]
self.vy[0, ci - 1] = self.vyb[ci - 2, 1, 1]
self.vy[ri, 0] = self.vyt[1, 1, 1]
self.vy[ri, ci - 1] = self.vyt[ci - 2, 1, 1]
# Store boundary values
for i in range(0, 2, 1):
self.vxl[0:ri, i, 1] = self.vxl[0:ri, i, 0]
self.vxl[0:ri, i, 0] = self.vx[0:ri, i]
self.vxr[0:ri, i, 1] = self.vxr[0:ri, i, 0]
self.vxr[0:ri, i, 0] = self.vx[0:ri, ci - i]
self.vyb[0:ci, i, 1] = self.vyb[0:ci, i, 0]
self.vyb[0:ci, i, 0] = self.vy[i, 0:ci]
self.vyt[0:ci, i, 1] = self.vyt[0:ci, i, 0]
self.vyt[0:ci, i, 0] = self.vy[ri - i, 0:ci]
def update_domain(self):
self.mvx.fill(0)
self.mvy.fill(0)
self.mpr.fill(0)
# Create VideoCapture object
cap = cv2.VideoCapture(0)
columns = 640
rows = 480
cap.set(3, columns)
cap.set(4, rows)
fs = fdtdVar(rows, columns)
tc = 0
while True:
# Reset domain
fs.update_domain()
# Capture frame
retval, frame = cap.read()
# Convert to grayscale
img = cv2.cvtColor(frame, cv2.COLOR_BGR2GRAY)
# Webcam frame cleanup
blurimg = cv2.medianBlur(img, 21)
threshimg = cv2.adaptiveThreshold(blurimg, 255, cv2.ADAPTIVE_THRESH_MEAN_C, cv2.THRESH_BINARY, 25, 5)
img = threshimg / 256.0
# Clean up edges
img[0:5, 0:fs.c] = 1
img[fs.r - 5:fs.r, 0:fs.c] = 1
img[0:fs.r, 0:5] = 1
img[0:fs.r, fs.c - 5:fs.c] = 1
# Create rigid material
imgtemp = np.pad(img, ((0, 0), (0, 1)), "constant", constant_values=1.0)
idx = imgtemp < 0.4
fs.mvx[idx] = 1
imgtemp = np.pad(img, ((0, 1), (0, 0)), "constant", constant_values=1.0)
idx = imgtemp < 0.4
fs.mvy[idx] = 1
# Update image with FDTD solution
fs.fdtd_update()
fs.source(tc)
fs.boundary()
imgdisp = img + fs.pr
tc = tc + 1
# Display image
cv2.imshow("frame", imgdisp)
if cv2.waitKey(1) & 0xFF == ord("q"):
break
cap.release()
cv2.destroyAllWindows()
print(tc)