{"id":"W2090146861","doi":"10.1016/j.cagd.2009.03.009","title":"An involute spiral that matches Hermite data in the plane","year":2009,"lang":"en","type":"article","venue":"Computer Aided Geometric Design","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Involute; Hermite polynomials; Hodograph; Spiral (railway); Curvature; Plane (geometry); Geometry; Plane curve; Mathematical analysis; Point (geometry); Quintic function","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003290598,0.0004832635,0.0005557047,0.0007648774,0.0004269075,0.001247343,0.0003933295,0.0008200079,0.003910783],"category_scores_gemma":[0.002065404,0.000253998,0.0002927395,0.0007481185,0.0005618342,0.0007051102,0.0008824281,0.0004796428,0.001218432],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003532921,"about_ca_system_score_gemma":0.0006811877,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004873198,"about_ca_topic_score_gemma":0.0005329016,"domain_scores_codex":[0.9997271,0.00003150737,0.00001330022,0.00004170897,0.0001266447,0.00005963041],"domain_scores_gemma":[0.9993586,0.0001258317,0.00006646175,0.0001869226,0.00016294,0.00009923022],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.002438144,0.0004087603,0.006672486,0.0002119063,0.00004646391,0.001859041,0.00062684,0.07164288,0.2648411,0.2368609,0.01258656,0.401805],"study_design_scores_gemma":[0.0002523559,0.001274641,0.003060637,0.0001013056,0.0000616988,0.005233884,0.0006109304,0.6870376,0.1732166,0.07041395,0.05859401,0.0001423158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3792818,0.0001640751,0.5829834,0.0007685181,0.0004484059,0.0001051451,0.0002480892,0.002225839,0.0337749],"genre_scores_gemma":[0.8250418,0.0001537135,0.1624404,0.0001372844,0.00004333445,0.00004764858,0.0003027984,0.0002428552,0.01159013],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003910783,"threshold_uncertainty_score":0.01308286,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0644189477944117,"score_gpt":0.2796725208112776,"score_spread":0.2152535730168659,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}