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{{Quote|In order to give an operational meaning to the property of self-similarity, we are necessarily restricted to dealing with finite approximations of the limit figure. This is done using the method which we will call box self-similarity where measurements are made on finite stages of the figure using grids of various sizes.<ref name="Classroom">Peitgen, et al (1991), p.2-3.</ref>}}

{{Quote|In order to give an operational meaning to the property of self-similarity, we are necessarily restricted to dealing with finite approximations of the limit figure. This is done using the method which we will call box self-similarity where measurements are made on finite stages of the figure using grids of various sizes.<ref name="Classroom">Peitgen, et al (1991), p.2-3.</ref>}}

==Self-affinity==

==Self-affinity 自仿射性==

<!--[[Self-affinity]] redirects directly here.-->

<!--[[Self-affinity]] redirects directly here.-->

! -- 自我关联直接重定向到这里 --  

! -- 自我关联直接重定向到这里 --  

[[Image:Self-affine set.png|thumb|right| A self-affine fractal with [[Hausdorff dimension]]=1.8272.]]

[[Image:Self-affine set.png|thumb|right| A self-affine fractal with [[Hausdorff dimension]]=1.8272.

 

图示为一个自仿射分形，其豪斯多夫维数为1.8272.]]

  A self-affine fractal with [[Hausdorff dimension=1.8272.]]

  A self-affine fractal with [[Hausdorff dimension=1.8272.]]

一个自仿射分形[豪斯多夫维数1.8272. ]

一个自仿射分形[豪斯多夫维数1.8272. ]

In [[mathematics]], '''self-affinity''' is a feature of a [[fractal]] whose pieces are [[scaling (geometry)|scaled]] by different amounts in the x- and y-directions. This means that to appreciate the self similarity of these fractal objects, they have to be rescaled using an [[anisotropic]] [[affine transformation]].

In [[mathematics]], '''self-affinity''' is a feature of a [[fractal]] whose pieces are [[scaling (geometry)|scaled]] by different amounts in the x- and y-directions. This means that to appreciate the self similarity of these fractal objects, they have to be rescaled using an [[anisotropic]] [[affine transformation]].

In mathematics, self-affinity is a feature of a fractal whose pieces are scaled by different amounts in the x- and y-directions. This means that to appreciate the self similarity of these fractal objects, they have to be rescaled using an anisotropic affine transformation.

In mathematics, self-affinity is a feature of a fractal whose pieces are scaled by different amounts in the x- and y-directions. This means that to appreciate the self similarity of these fractal objects, they have to be rescaled using an anisotropic affine transformation.

在数学中，自亲和力是分形的一个特征，它的各部分在 x 方向和 y 方向上按不同的比例缩放。这意味着，为了了解这些分形物体的自相似性，它们必须使用各向异性仿射变换重新标度。

在数学中，自仿射性是分形的特征之一，它的各部分在 x 方向和 y 方向上按不同的比例缩放。这意味着，为了了解这些分形物体的自相似性，它们必须使用各向异性仿射变换重新标度。