def get_overlayed_image(x, c, gray_factor_bg = 0.3):
'''
For an image x and a relevance vector c, overlay the image with the
relevance vector to visualise the influence of the image pixels.
'''
imDim = x.shape[0]
if np.ndim(c)==1:
c = c.reshape((imDim,imDim))
if np.ndim(x)==2: # this happens with the MNIST Data
x = 1-np.dstack((x, x, x))*gray_factor_bg # make it a bit grayish
if np.ndim(x)==3: # this is what happens with cifar data
x = color.rgb2gray(x)
x = 1-(1-x)*0.5
x = np.dstack((x,x,x))
alpha = 0.8
# Construct a colour image to superimpose
im = plt.imshow(c, cmap = cm.seismic, vmin=-np.max(np.abs(c)), vmax=np.max(np.abs(c)), interpolation='nearest')
color_mask = im.to_rgba(c)[:,:,[0,1,2]]
# Convert the input image and color mask to Hue Saturation Value (HSV) colorspace
img_hsv = color.rgb2hsv(x)
color_mask_hsv = color.rgb2hsv(color_mask)
# Replace the hue and saturation of the original image
# with that of the color mask
img_hsv[..., 0] = color_mask_hsv[..., 0]
img_hsv[..., 1] = color_mask_hsv[..., 1] * alpha
img_masked = color.hsv2rgb(img_hsv)
return img_masked
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