Improved Caps for Improved Subdivision Surfaces

Karčiauskas, Kȩstutis; Peters, Jörg

doi:10.1016/j.cad.2023.103543

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“…Since infinite refinement is not practical, if the finest resolution, for example to avoid pixel dropout at the extraordinary points, is not known, one can cover the remaining hole with a tiny piecewise smooth bi-4, respectively bi-3 cap construction from the literature, e.g. [KP23b].…”

Section: Discussionmentioning

confidence: 99%

Quadratic‐Attraction Subdivision

Karčiauskas

Peters

2023

Computer Graphics Forum

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The idea of improving multi‐sided piecewise polynomial surfaces, by explicitly prescribing their behavior at a central surface point, allows for decoupling shape finding from enforcing local smoothness constraints. Quadratic‐Attraction Subdivision determines the completion of a quadratic expansion at the central point to attract a differentiable subdivision surface towards bounded curvature, with good shape also in‐the‐large.

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Section: Discussionmentioning

confidence: 99%