This paper presents and evaluates four weighting schemes for image interpolation algorithms. The first scheme is based on the normalized area of the circle, whose diameter is equal to the minimum side of a tetragon. The second scheme is based on the normalized area of the circle, whose radius is equal to the hypotenuse. The third scheme is based on the normalized area of the triangle, whose base and height are equal to the hypotenuse and virtual pixel length, respectively. The fourth weighting scheme is based on the normalized area of the circle, whose radius is equal to the virtual pixel length-based hypotenuse. Experiments demonstrated debatable algorithm performances and the need for further research.

中文翻译：

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图像插值算法的归一化加权方案

本文介绍并评估了图像插值算法的四种加权方案。第一种方案基于圆的归一化面积，其直径等于四边形的最小边。第二种方案基于圆的归一化面积，其半径等于斜边。第三种方案基于三角形的归一化面积，三角形的底和高分别等于斜边和虚拟像素长度。第四种加权方案基于圆的归一化面积，其半径等于基于虚拟像素长度的斜边。实验证明了有争议的算法性能和进一步研究的必要性。