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Record W2012275781 · doi:10.1002/pamm.200700359

The 3D asymptote generalization of MetaPost Bézier interpolation

2007· article· en· W2012275781 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.
fundA Canadian funder is recorded on the work.

Bibliographic record

VenuePAMM · 2007
Typearticle
Languageen
FieldEngineering
TopicAdvanced Numerical Analysis Techniques
Canadian institutionsUniversity of Alberta
FundersNatural Sciences and Engineering Research Council of CanadaUniversity of Alberta
KeywordsAsymptoteAffine transformationComputer scienceBézier curveComputer graphics (images)Invariant (physics)Interpolation (computer graphics)SimplexApplied mathematicsMathematicsAlgebra over a fieldMathematical optimizationPure mathematicsGeometry

Abstract

fetched live from OpenAlex

Abstract The descriptive vector graphics language Asymptote provides for the typesetting of mathematical figures a capability analogous to what TEX provides for typesetting equations. Labels are typeset with TEX, for professional quality and overall document consistency, and the simplex linear programming method is used to solve overall size constraint issues between fixed‐sized and scalable objects. Asymptote's three‐dimensional generalization of the spline interpolation algorithms of Hobby ( Discrete and Computational Geometry 1 , 1986) is shape invariant under three‐dimensional affine transformations and reduces in the planar case to Hobby's prescription. By using recursive refinement to add additional Bézier control points, one can then efficiently approximate a perspective‐invariant nonuniform rational B‐spline. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Bench or experimental · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.961
Threshold uncertainty score0.152

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.005
GPT teacher head0.242
Teacher spread0.237 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it