How do you expect people to help you with this if you are not showing any code?

In general you can use transparency for smoother transitions.

Also see: https://forum.processing.org/topic/frame-smoothing-frame-blending-general-calming-effect

i don't really understand what you are trying to achieve, but this could be a simulation of what you are describing… amnon is right, without seeing your code,it's difficult to help you.).
Here's =
the green ellipse is updated every 1000ms. the red one is an interpolation of values. (search for easing)

1. float ellipseX, ellipseY;
   float x;
   float y;
   float easing = 0.05;
   int last;
   void setup() {
     size(640, 360);
     noStroke();
   }
   
   void draw() {
     background(51);
   
     if (millis() -last >1000)
     {
   
       ellipseX = random(width);
       ellipseY = random(height);
       last =millis();
     }
     float dx = ellipseX - x;
     if (abs(dx) > 1) {
       x += dx * easing;
     }
     fill(0, 255, 0);
     ellipse(ellipseX, ellipseY, 10, 10);
   
     float dy = ellipseY - y;
     if (abs(dy) > 1) {
       y += dy * easing;
     }
     fill(255, 0, 0);
     ellipse(x, y, 10, 10);
   }
   

You rightfully posted in the Contributed Libraries section (unless a moderator moved the topic), but you would have a better chance to get an answer if the subject stated which library you are talking about... To attract those knowledgeable of this library. (Never heard of it.)

Thanks i got the answer. :)