Figure 1
The von Mises distribution. (a)–(d) Four different instantiations of the von Mises probability density function represented in (left) circular form and (right) linear form, where the functions have been unwrapped onto the line. In the circular representation, the radial distance from the unit circle at each angle indicates the probability density (solid shaded), and the vectors internal to the unit circle display the first trigonometric moment of the probability density distribution, calculated according to (13), which identifies its center of mass. When κ = 0, the von Mises distribution reduces to the uniform circular distribution. In this case, the center of mass of the distribution corresponds to the center of the unit circle, and the first trigonometric moment is not fully defined. |