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DEGREE 3 ALGEBRAIC MINIMAL SURFACES IN THE 3-SPHERE

Acta Mathematica Scientia 2012年第6期32卷 2065-2084页

作者： Joe S.Wang 4 Ricado Ln St.LauisM063124USA

We give a local analytic characterization that a minimal surface in the 3-sphere S3 C R4 defined by an irreducible cubic polynomial is one of the Lawson＇s minimal tori. This provides an alternative proof of the result by Perdomo （Characterization of order 3 algebraic immersed minimal surfaces of S3, Geom. Dedicata 129 （2007）, 23 34）.

关键词： algebraic minimal surface 3-sphere cubic polynomial

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Invariant measure for cubic Fibonacci-like polynomials

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中国科学技术大学学报 2024年第8期54卷 7-12,6,I0002页

作者： Wenxiu Ma School of Mathematical Sciences University of Science and Technology of ChinaHefei 230026China

A special class of cubic polynomials possessing decay of geometry property is *** class of cubic bimodal maps has generalized Fibonacci *** maps with bounded combinatorics,we show that they have an absolutely continuo... 详细信息

关键词： Fibonacci combinatorics cubic polynomial decay of geometry invariant measure

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AN OPERATOR-SPLITTING ALGORITHM FOR THREE-DIMEN-SIONAL CONVECTION-DIFFUSION PROBLEMS

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Journal of Hydrodynamics 1993年第1期5卷 22-34页

作者： Ding Dao-yang Nanjing Hydraulic Research Institute,Nanjing 210029,P.R.ChinaPhilip L.-F.Liu School of Civil and Environmental Engineering,Cornell University,Ithaca,New York 14853 USA

An operator-splitting algorithm for the three-dimensional convection-diffusion equa- tion is *** flow region is discretized into tetrahedronal elements which are fixed in time. The transport equation is split into two successive initial value problems:a pure convection problem and a pure diffusion *** the pure convection problem,solutions are found by the method of *** solution algorithm involves tracing the characteristic lines backwards in time from a vertex of an element to an interior point.A cubic polynomial is used to interpolate the concentration and its derivatives within each *** the diffusion problem,an explicit finite element algorithm is *** examples are given which agree well with the analytical solutions.

关键词： operator-splitting algorithm cubic polynomial three-dimensional convection-diffusion problems

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Image interpolation algorithm on a triangular grid

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Computer Aided Drafting,Design and Manufacturing 2016年第1期26卷 19-25页

作者： Xu Lan Li Xuemei Wang Guizhong Tian Shuo School of Computer Science and Technology Shandong UniversityJinan 250101China Shandong Linglong Tire Co. Ltd.Zhaoyuan 250014China China Machinery Engineering Corporation Beijing 100055China

A new method for constructing a fitting surface on a triangular grid is presented. Assuming images are obtained by sampling from the original scene. Conventional polynomial interpolation methods generally construct the fitting surface on a square grid. Different from existing methods, the new method constructs the fitting surface on a triangular grid which can divide the original surface more detailed and improve approximation accuracy. As the quality of the image edges plays a key role in visual effects of image, the new method uses image edges as constraints to get a triangle grid. The new method constructs a cubic polynomial patch locally using image data to approximate the original surface. Experimental comparison results of the new method with other methods show that the new method can produce high-quality images and remove the zigzagging artifact.

关键词： surface fitting cubic polynomial triangular grid image edge

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