To find out the position with the highest possibility of score, Brabandere (2014) offered a method to calculate the probability of score. He defines the vertical line to the backboard as the baseline, which is the possibility of the shot in other positions with respect to the 90° position. However, the trajectory in this research is a simplified version as it was considered from a 2-D view. Thus he suggests the ball is being observed from the top and thus the curve can be regarded as a line.
In the two-dimensional condition, the possibility of scoring can be turned into a new term called “Wiggle Room”, which stands for slightly different spots which the ball can bounce off from the backboard and still bounce into the basket.
Brabandere (2014) used the similar triangles method to solve the same problem.
However, this “Wiggle Room” definition was incomplete because it did not consider the “back and forward” aspect; and the setting is in three-dimensional condition.
When Duan (2009) was modelling the shooting of the basketball, he noticed that the basket is actually not round because of the different positions of viewing. Actually the relative surface of basket is called “section of incidence”. It is the intersection of the basket in three-dimensional space with the plane which is perpendicular to the direction of moving of the basketball. In this case, the section of incidence is always an oval .
When Duan (2009) was modelling the shooting of the basketball, he noticed that the basket is actually not round because of the different positions of viewing. Actually the relative surface of basket is called “section of incidence”. It is the intersection of the basket in three-dimensional space with the plane which is perpendicular to the direction of moving of the basketball. In this case, the section of incidence is always an oval .