{'fraction_non_alphanumeric': 0.009615384615384616, 'fraction_numerical': 0.006868131868131868, 'mean_word_length': 5.394736842105263, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Local 3d Orientation Analysis and Its Applications

In this paper we present a new method for approximation of local 3D orientation based on Gaussian functions. Compared with current 3D steerability approaches our method achieves higher orientation resolution with lower complexity. This property enables us to solve challenging problems like multiple motion estimation and 3D complex surface analysis. We address the tessellation of a spherical surface and decompose the sphere with a set of overlapping isotropic basis l-ter kernels. We study the problem of non-uniform distribution of the spherical coordinates and discuss the application of a weighting compensation function in the computation of a 3D orientation signature.