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Record W332672749

Triangulating Trimmed NURBS Surfaces

2000· article· en· W332672749 on OpenAlexvenueno aff
Chang Shu, Pierre Boulanger

Bibliographic record

VenueNPARC · 2000
Typearticle
Languageen
FieldEngineering
Topic3D Shape Modeling and Analysis
Canadian institutionsnot available
Fundersnot available
KeywordsDelaunay triangulationTrimmingPolygon meshTriangulationSurface triangulationBowyer–Watson algorithmCurvatureMathematicsSurface (topology)Piecewise linear functionComputer scienceComputer graphicsComputer graphics (images)Mathematical optimizationAlgorithmGeometry
DOInot available

Abstract

fetched live from OpenAlex

Abstract. This paper describes techniques for the piecewise linear approximation of trimmed NURBS surfaces. The problem, called surface triangulation, arises from many applications in CAD and graphics. The new method generates triangular meshes that are adaptive to the local surface curvature. We use e cient data structures for the handling of trimming curves. We also generate Delaunay triangulation on the surface to improve the quality of the meshes. Tensor-product NURBS are widely used in today's CAD systems for describing and exchanging surface geometry. For many applications, however, piecewise linear approximations of smooth surfaces are required. Examples of these applications include nite element analysis, stereo-lithography, and visualization

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.

How this classification was reachedexpand

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 categoriesInsufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: Simulation or modeling
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.360
Threshold uncertainty score0.998

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)0.0030.000

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 head0.010
GPT teacher head0.206
Teacher spread0.195 · 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

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

Study designSimulation or modeling
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations3
Published2000
Admission routes1
Has abstractyes

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