4 problems

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Curvature continuity conjecture for PN-modified Catmull-Clark subdivision
Curvature continuity conjecture. The PN-modified Catmull-Clark subdivision can generate curvature-continuous subdivision surfaces, and the extraordinary points of the resulting sur…
Conjectureopencomputer-aided-geometric-design subdivision-surfacesarXiv posted 2 days ago
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The conjecture on additional degrees of freedom for optimal biharmonic convergence near extraordinary points
Conjecture on biharmonic convergence. To recover optimal convergence for the biharmonic equation, more degrees of freedom may be needed around EPs, following ideas similar to those…
Conjectureopenfinite-element-methods numerical-analysis subdivision-surfacesarXiv posted 2 days ago
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Density conjecture for fixed-isoperimetric-ratio subdivision surfaces
Fixed-ratio density conjecture. For every $v\in(0,1)$ ,
Conjectureopengeometric-analysis isoperimetric-ratio subdivision-surfacesarXiv posted 2 days ago
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Compactness conjecture for minimizing sequences of subdivision surfaces
Compactness conjecture for minimizing sequences. There is a sequence of Möbius transformations $G_j$ of $\mathbb{R}^3$ such that the surfaces $G_j\circ\mathbf{x}_j(K)$ can be parti…
Conjectureopencompactness subdivision-surfaces willmore-energyarXiv posted 2 days ago

Curvature continuity conjecture for PN-modified Catmull-Clark subdivision