{"id":"W2001972447","doi":"10.1090/s0025-5718-04-01704-1","title":"Noninterpolatory Hermite subdivision schemes","year":2004,"lang":"en","type":"article","venue":"Mathematics of Computation","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":43,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Subdivision; Hermite polynomials; Mathematics; Bivariate analysis; Subdivision surface; Hermite interpolation; Cubic Hermite spline; Hermite spline; Applied mathematics; Pure mathematics; Mathematical analysis; Geometry; Statistics; Polygon mesh; Spline interpolation; Geography; Bicubic interpolation; Thin plate spline; Polynomial","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00005312624,0.00007871936,0.0001534357,0.00007919397,0.00001400593,0.000007424752,0.00006912518,0.00003098252,0.000005858292],"category_scores_gemma":[0.00001580486,0.00007566367,0.00005127345,0.0001431614,0.00002294461,0.00009595968,0.00001616856,0.00005282084,0.00001771794],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004110639,"about_ca_system_score_gemma":0.000003992953,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001058513,"about_ca_topic_score_gemma":3.396666e-7,"domain_scores_codex":[0.999496,0.000003444189,0.0002353308,0.00006118416,0.0001293389,0.00007468891],"domain_scores_gemma":[0.9997472,0.00003341221,0.00005808519,0.00009455839,0.00004367427,0.00002311932],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000004164056,0.0002313964,0.00008418508,0.0006962958,0.0001022699,0.000003588677,0.001334504,0.8719184,0.06214749,0.03204416,0.0001254384,0.03130807],"study_design_scores_gemma":[0.0002259992,0.00004739363,0.0001490122,0.0001851367,0.00002357,0.000003658092,0.00005351707,0.6412014,0.2055788,0.152211,0.0001436065,0.000176819],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2638031,0.000057907,0.7349881,0.000007104419,0.00001790409,0.00005030589,6.712091e-7,0.0002401041,0.0008348029],"genre_scores_gemma":[0.7680804,0.000007374878,0.2318756,0.000005228856,0.000007644736,0.000001675154,0.00000324622,0.00001378474,0.000005134319],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5042772,"threshold_uncertainty_score":0.3085475,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006241548197502896,"score_gpt":0.240579837570993,"score_spread":0.2343382893734901,"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."}}