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In this paper,we propose a concept called interval implicitization of rational bézier surfaces,that is ,finding an interval algebraic surface with lower degree which bounds a given parametric rational bézier surface such that some objective function involving the width and the tention term of the interval algebraic surface is minimized.

本文提出有理Bézier曲面的区间隐式化的概念，即找到一条较低次的区间代数曲面使得给出的有理Bézier曲面落在该区间代数曲面内，并使得一包含区间代数曲面的宽度和张量项的目标函数达到最小。

By using very general implicit shape primitive—algebraic surface, our scheme can represent more general 3D surfaces than other implicit surface reconstruction techniques.

同其它隐曲面重建方法相比，我们的方法通过使用很具一般性的隐式形状单元—代数曲面—可以表示更一般的三维表面。

A frame to construct a blending surface among quadrics with the algebraic tensor-product B-spline surfaces was presented. A C^1 continuous algebraic spline surface was obtained that very smoothly joined the given quadrics.

给出了一种应用代数张量积B样条曲面构造blending曲面的框架并详细讨论了二次代数曲面间blending曲面的构造方法。

If the surface isrepresented by an implicit algebraic equation,the mapping can be constructed bythe theory of parametrization of algebraic surfaces;If the surface is represented byan parametric equation,the parameter values on the parameter plane can be solvedby numerical method or Grobner Basis method.

若曲面由代数隐式方程给出，可通过代数曲面参数化理论构造映射；若曲面由参数方程给出，可通过数值方法或Grobner基方法求解参数型值点。

Alpenglow can cast a very noticeable pink light onto surfaces that are reflective, such as white houses, sand or water.

Alpenglow可以投下了非常显着粉红色的光表面上的反射，如白色的房屋，沙子或水。， f！

This means there are unprotected aluminium surfaces, which lead to the formation of gas.

这意味着有未受保护的铝表面，而导致形成的天然气。

Formation of an aluminum oxide layer on exposed surfaces makes this metal very corrosion resistant.

铝青铜表面的铝氧化层结晶体，使其具有很强的抗腐蚀能力。

The recesses and superimposed surfaces provided in this way offer appropriate space for ambient illumination as well as the arrangement of air vents.

深处叠加的表面提供了这种方式提供适当的空间环境照明以及空气通风口安排。

Catalysts are made by impregnating a porous transition alumina support with an aqueous solution of a copper ammine carbonate complex, draining off any excess of the impregnating solution, and then heating the impregnated support to a temperature above 80 DEG C to decompose the complex thereby depositing a basic copper carbonate compound on the surfaces of the pores of the transition alumina support.

用作例如催化剂的铜／氧化铝组合物，通过用碳酸铜氨配合物的水溶液浸渍一种多孔氧化铝载体，排出任何多余的浸渍液，然后加热所浸渍的载体到80℃以上的温度来分解所述配合物，从而在所述过渡型氧化铝载体的气孔表面沉积一种碱式碳酸铜来制备。

The mesoporous sieve of the M41S family has framewoks with pore diameters withinthe mesoporous range(2～10nm), huge surfaces areas about 1000cm2/g and amorphism porouswall tent to incorporate hetero atom so that has been used abroad in big moleculer catalysisand separation, life science and environment protection fields and so on.

M41S系列介孔分子筛具有2～10nm左右的规整孔道、大约1000cm~2／g的高比表面积和容易引入杂原子的无定形孔壁等独特优点，被广泛应用在大分子催化、分离和生命科学、环境保护等热点领域。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。