Is it possible to do interpolation in the scatter method?

Question

Python

There is a list of temperatures that are visualized in polar coordinates, the color corresponds to the temperature value. You need to do interpolation so that intermediate color values ​​​​between points are calculated.
Can this be done with the scatter method?
Or how to implement using the imshow method? Replace points with another geometry object?

import matplotlib.pyplot as plt
from matplotlib import cm
import numpy as np

#температурные значения
data = [36.1, 33.2, 34.6, 35.3, 34.1, 32.9, 35.6, 36.7]  

#количество точек
N = 8.   

#координаты
r = [1, 1, 1, 1, 1, 1, 1, 1]
theta = [0, 0.78, 1.58, 2.36, 3.15, 3.94, 4.73, 5.5]

area = 800
colors = ["#1f3a93", "#55bed7", "#75af1c", "#fce032", "#e73e33"]

fig = plt.figure()
ax = fig.add_subplot( projection='polar')

i = 0
# вызываем рисование графика
c = ax.scatter(theta, r,
            # цвет присваиваем в зависимости от значения data[i] c = [colors[индекс] по условию плюс цикл по data]
        c = [colors[0] if a < 31.0 else colors[1] if 32.5 <= a < 34.5 else colors[2] if 34.5 <= a < 35.5 else colors[3] if 35.5 <= a < 36.5 else colors[4] for a in data ], s=area, cmap='hsv', alpha=1)

Answer 1

Specify your wishlist.
There are temperatures. Clear. They match the colors. There is already a question. Colors, those that are colors - are they hard-coded for you or did you set them yourself?
"Interpolation with intermediate color values ​​between points" is not clear at all.
Since you have colors set - actually in 3D RGB space - for what "intermediate points" do you want to interpolate?
If I understand the task correctly, then you actually need to interpolate temperatures at intermediate points, and already represent their values ​​​​in the appropriate color. But then the temperature colors must be set not from the lamp, but according to some algorithm. Well, for example, like this:

data = [36.1, 33.2, 34.6, 35.3, 34.1, 32.9, 35.6, 36.7]  
rgb = [int(i*10) for i in data] 
c = ax.scatter(theta, r,
        c = rgb, 
        s=area, cmap='hsv', alpha=1)

After that, find (interpolate or something else - you already know better here) the temperature at the point you need, translate it into color using the same formula and draw.
With enough imagination and patience, you can pick up a translation formula that would give you a set of other, more designer colors. But this is already a pure experiment, based on your real data, taking into account the range of possible temperatures and other things ..