**6.1. Orientation assignments**

To fix the rotation, we define a reproducibility orientation for points of interest. To this end, we first compute the Haars wavefunction that corresponds to the *X* and *Y* direction. It is located in a boundary with a radius vector 7 s surrounding the indicator of interest, with the image being detected as the point of interest. The sampling step depends on the scale and its selection is *s*. Wavelet responses are also computed in the current range *s*. Thus, the size of the wavelet on a large scale is also large. We therefore use the integrated image as a quick filter. Only seven operations are required for SURF to calculate the corresponding *Z* or *Y* direction at any scale. The lateral distance of the wavelength is 4 s. Once the responses are calculated and weighed with Gaussians (*σ* = 2.51 s) centered around the indicators of interest, the responses are represented as vectors in range with the horizontal angle corresponding to force alongside the output and the vertical angle corresponded to the force along the coordinate. The trend is estimated by calculating the amount of all responses in navigation windows with an angle of π 3.1. The horizontal and vertical angle responses are summarized in the windows. The synthesized questionnaires then produce new vectors. The long vectors of its kind are directed towards the indicator of interest. The range of the slide windows is the argument, which was chosen empirically. Smaller sizes focus on one dominant, maximizing yield size in vectorial lengths that are not expressive. Both lead to an unstable trend in the area of interest. Note that U-SURF skips over this step.
