The discrete analytical hyperspheres

Andres E.; Jacob M.-A.

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The discrete analytical hyperspheres

机译：离散解析超球

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An analytical definition of a discrete hypersphere with arbitraryncenter, radius, and thickness in dimension n is introduced. The newndiscrete hypersphere is called a discrete analytical hypersphere. Thenhypersphere has important original properties including exact pointnlocalization, space tiling, k-separation, etc. These properties arenalmost obvious with this new discrete analytical definition contrary tonthe classical approaches based on digitization schemes. The analyticallyndefined circle is compared to Pham's (1992) classically defined circle.nEfficient incremental circle and hypersphere generation algorithms arenprovided

机译：介绍了一个离散的超球面的解析定义，该球面在尺寸n中具有任意n个中心，半径和厚度。新的离散超球称为离散解析超球。然后，超球体具有重要的原始属性，包括精确的点定位，空间平铺，k分离等。与基于数字化方案的经典方法相反，这种新的离散分析定义最明显地体现了这些属性。将解析定义的圆与Pham（1992）的经典定义的圆进行比较。n提供了高效的增量圆和超球体生成算法

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《IEEE transactions on visualization and computer graphics》 |1997年第1期|p.75-86|共12页
作者
Andres E.; Jacob M.-A.;
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正文语种 eng
中图分类模式识别与装置;
关键词
computational geometry; computer graphics; analytically defined circle; arbitrary center; arbitrary radius; arbitrary thickness; discrete analytical hyperspheres; efficient incremental circle generation algorithms; efficient incremental hypersphere generation al;

机译：计算几何;计算机图形学;解析定义的圆;任意中心;任意半径;任意厚度;离散解析超球;高效增量圆生成算法;高效增量超球生成;

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1. The discrete analytical hyperspheres [J] . Andres E., Jacob M.-A. IEEE transactions on visualization and computer graphics . 1997,第1期

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机译：算术离散超球和分离

The discrete analytical hyperspheres

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