I remember a comment someone made about the way Lassiter sometimes aimed. First he would intentionally aim too full, then he would aim too thin, then he would go to "just right" and shoot. Maybe he was using something very similar to halves. The next step beyond binary search is linear interpolation.
Eddie Robin describes this approach as the "bracket method" in WOP. He writes:
"You are about to learn one of the most valuable tools known for increasing natural abilities...the
bracket method.
To
utilize an ability you must be able to focus it. For example, the more you focus your sense of sight on something, the better you will see it. On the other hand, if you don't focus your sense of sight on an object, you won't be able to see it at all. This is as obvious as saying that an unused ability can't accomplish anything.
Now you might ask, how does this explanation help one shoot pool? You'll be surprised at how much your abilities could be increased by simply learning how to focus those you already have.
Let's take a few examples. You may sometimes have a strong feel for how thick or thin to hit a ball in order to cut it into a pocket, and you may find that other times you have almost no feel at all for an almost identical shot. When you haven't sufficient feel, use the following method.
Aim to hit the ball slightly too thick, and then slightly too thin. Until you are experienced with this method, you may have to repeat those two steps once or twice. The result is that your feel will increase as a result of narrowing the area in which you are focusing your attention."
And then he goes on to describe what I've used for years to estimate 3-rail kicks:
"To get back to the subject of developing one's natural ability in determining angles into and out of cushions, you can use the bracket method to accomplish that also. Whenever your 'feel' is lacking somewhat, just aim to miss on one side and then aim to miss on the other. You can do this with measurement of direction, as in the examples given so far, or you can do it with measurement of speed, spin, elevation of cue, or anything else, for that matter."
Lou Figueroa