This function returns interpolated points between two given points based on the specified number of interpolations. It can be used when interpolation of points within a given range is required.

Interpolate_points.py

def interpolate_points(list_of_points, num_of_time_interpolations):
    interpolated_points = []
    for i in range(len(points) - 1):
        x1, y1 = points[i]
        x2, y2 = points[i + 1]
        interpolated_points.append((x1, y1))
        for j in range(1, num_interpolations + 1):
            t = j / (num_interpolations + 1)
            x_new = x1 + (x2 - x1) * t
            y_new = y1 + (y2 - y1) * t
            interpolated_points.append((x_new, y_new))
    interpolated_points.append(points[-1])
    return interpolated_points

Implemented interpolate_points function to compute interpolated points between consecutive points in a list.
The function takes a list of points and a specified number of interpolations.
It inserts evenly spaced points between each pair of consecutive points.
This is useful for smooth transitions and detailed interpolation in datasets.