{'fraction_non_alphanumeric': 0.020134228187919462, 'fraction_numerical': 0.0016778523489932886, 'mean_word_length': 5.091836734693878, '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}}
Shape from Planar Curves: A Linear Escape from Flatland

We revisit the problem of recovering 3D shape from the projection of planar curves on a surface. This problem is strongly motivated by perception studies. Applications include single-view modeling and fully uncalibrated structured light. When the curves intersect, the problem leads to a linear system for which a direct least-squares method is sensitive to noise. We derive a more stable solution and show examples where the same method produces plausible surfaces from the projection of parallel (non-intersecting) planar cross sections.