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I finally ended up inverting the edges found with the canny procedure and applying findContours on that, to cut on the number of steps, it roughly looks like that :

edge = cv2.Canny(img_gray, CANNY_THRSH_LOW, CANNY_THRSH_HIGH, apertureSize=5)
kern = np.ones((5, 5))
# dilatation connects most of the disparate edges
edge = cv2.dilate(edge, kern)
# invert edges to create one big water blob
edge_inv = np.zeros((img_gray.shape), np.uint8)
edge_inv.fill(255)
edge_inv = edge_inv - edge
contours0, hierarchy0 = cv2.findContours(edge_inv.copy(), cv2.RETR_EXTERNAL,
                                         cv2.CHAIN_APPROX_SIMPLE)

I finally ended up inverting the edges found with the canny procedure and applying findContours on that, to cut on the number of steps, it steps. It roughly looks like that :

edge = cv2.Canny(img_gray, CANNY_THRSH_LOW, CANNY_THRSH_HIGH, apertureSize=5)
kern = np.ones((5, 5))
# dilatation connects most of the disparate edges
edge = cv2.dilate(edge, kern)
# invert edges to create one big water blob
edge_inv = np.zeros((img_gray.shape), np.uint8)
edge_inv.fill(255)
edge_inv = edge_inv - edge
contours0, hierarchy0 = cv2.findContours(edge_inv.copy(), cv2.RETR_EXTERNAL,
                                         cv2.CHAIN_APPROX_SIMPLE)