The average 6 DOF path estimation with the use of initial approximation curve

The paper presents the average path estimation algorithm. This algorithm is based on the approximation curve, which shape should by defined as closely as possible to the shape of the analyzed path. With the use of this initial curve, the data space is divided into the intervals. All of the interval paths points are averaged individually. After the calculations, there is only one average point for each path. Next, these average points are averaged to one point in each interval. The set of these averaged points define the average path. Thanks to this algorithm the input paths can be non-linear and independent of time. The analyzed path can begin and end in any point in the 6DOF space, as well as reverse and loop. This paper presents the general model description and example of the use of the presented algorithm.