exponential interpolation function

iz_helpers/interpol_exp_plot.py

@@ -3,24 +3,34 @@ import math
 
 # Define the values for width, mask_width, and num_interpol_frames
 width = 512
-mask_width = round(width*0.25)
+mask_width = round(width * 0.25)
 num_interpol_frames = 30
 
+
+def exponential_interpolation(b, t):
+    exponent_coeff = 1  # between 0 to 1
+    t = t / b
+    y = math.pow(b, math.pow(t, exponent_coeff))
+    return y
+
+
 # Calculate the logarithmic scaling factor
-log_scale_factor = math.log(width/mask_width) / (num_interpol_frames - 1)
+log_scale_factor = math.log(width / mask_width) / (num_interpol_frames - 1)
 
 # Create a list to store the values of interpol_width for each frame
 interpol_width_values = []
 
 # Calculate interpol_width for each frame and add it to the list
 for j in range(num_interpol_frames):
-    scale_factor = math.exp(-j*log_scale_factor)
-    interpol_width = round(width*scale_factor/2)
+    # scale_factor = math.exp(-j*log_scale_factor)
+    # interpol_width = round(width*scale_factor/2)
+    interpol_width = exponential_interpolation(
+        mask_width, (num_interpol_frames - j) * mask_width / num_interpol_frames
+    )
     interpol_width_values.append(interpol_width)
-
 # Plot the values of interpol_width on a graph
 plt.plot(range(1, num_interpol_frames + 1), interpol_width_values)
-plt.xlabel('Frame Number')
-plt.ylabel('Interpolation Width')
-plt.title('Dolly-Out Animation Graph')
+plt.xlabel("Frame Number")
+plt.ylabel("Interpolation Width")
+plt.title("Dolly-Out Animation Graph")
 plt.show()