Extending and correcting some research results on minimal and harmonic surfaces

Wu, Hua-Jing-Ling; Wang, Guojin

doi:10.1016/j.cagd.2011.07.003

Computer Aided Geometric Design

2012

DOI: 10.1016/j.cagd.2011.07.003

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Extending and correcting some research results on minimal and harmonic surfaces

Hua-Jing-Ling Wu

Guojin Wang

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Cited by 4 publications

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“…Note that in [11] and [16] some of the formulas that appear in the cited papers were cleaned of mistakes and typos and some of the results were extended.…”

mentioning

confidence: 99%

Explicit Bézier control net of a PDE surface

Arnal

Monterde

2017

Computers & Mathematics with Applications

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The PDE under study here is a general fourth-order linear elliptic Partial Differential Equation. Having prescribed the boundary control points, we provide the explicit expression of the whole control net of the associated PDE Bézier surface.In other words, we obtain the explicit expressions of the interior control points as linear combinations of free boundary control points. The set of scalar coefficients of these combinations works like a mould for PDE surfaces. Thus, once this mould has been computed for a given degree, real-time manipulation of the resulting surfaces becomes possible by modifying the prescribed information.

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“…Note that in [11] and [16] some of the formulas that appear in the cited papers were cleaned of mistakes and typos and some of the results were extended.…”

mentioning

confidence: 99%

Explicit Bézier control net of a PDE surface

Arnal

Monterde

2017

Computers & Mathematics with Applications

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Minimal quasi-Bézier surface

Hao

Wang

2012

Applied Mathematical Modelling

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Transition to canonical principal parameters on minimal surfaces

Kassabov

2014

Computer Aided Geometric Design

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Extending and correcting some research results on minimal and harmonic surfaces

Cited by 4 publications

References 4 publications

Explicit Bézier control net of a PDE surface

Explicit Bézier control net of a PDE surface

Minimal quasi-Bézier surface

Transition to canonical principal parameters on minimal surfaces

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