排序方式： 共有49条查询结果，搜索用时 15 毫秒
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阮火军 《浙江大学学报(理学版)》2000,27(3):243-246
在文 [1]中 , Barnsley等在关联矩阵不可约的条件下 ,得到了递归 IFS的分形维数公式 ,本文证 明 ,在去掉关联矩阵为不可约的限制条件之后 ,维数公式仍是成立的. 相似文献
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The self‐affine measure corresponding to a upper or lower triangle expanding matrix M and the digit set in the space is supported on the generalized spatial Sierpinski gasket, where are the standard basis of unit column vectors in . We consider in this paper the existence of orthogonal exponentials on the Hilbert space , i.e., the spectrality of . Such a property is directly connected with the entries of M and is not completely determined. For this generalized spatial Sierpinski gasket, we present a method to deal with the spectrality or non‐spectrality of . As an application, the spectral property of a class of such self‐affine measures are clarified. The results here generalize the corresponding results in a simple manner. 相似文献
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Construction of recurrent bivariate fractal interpolation surfaces and computation of their box-counting dimension 总被引：2，自引：0，他引：2
Recurrent bivariate fractal interpolation surfaces (RBFISs) generalise the notion of affine fractal interpolation surfaces (FISs) in that the iterated system of transformations used to construct such a surface is non-affine. The resulting limit surface is therefore no longer self-affine nor self-similar. Exact values for the box-counting dimension of the RBFISs are obtained. Finally, a methodology to approximate any natural surface using RBFISs is outlined. 相似文献
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提出利用四叉树自适应图像划分、源块池柔性分类并结合人类视觉特性的高速分形图像编码算法．与其它同类算法相比，该算法在编码速度、压缩比和图像质量等方面均有显著提高． 相似文献
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We study, from the point of view of the multifractal analysis, iterated function systems on totally disconnected spaces, namely, the boundaries of homogeneous trees. In particular, we study in this setting the ＂weak quasi-Bernoulli property introduced by Testud [3, 4]. After projection on R or R2, we get new examples of self-similar measures which being WQB, obey the multifractal formalism for positive q,s. 相似文献
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Qi-Rong Deng 《Journal of Mathematical Analysis and Applications》2008,342(2):1250-1264
This paper is devoted to the absolute continuity of (scalar-valued or vector-valued) self-affine measures and their properties on the boundary of an invariant set. We first extend the definition of WSC to self-affine IFS, and then obtain a necessary and sufficient condition for the vector-valued self-affine measures to be absolutely continuous with respect to the Lebesgue measure. In addition, we prove that, for any IFS and any invariant open set V, the corresponding (scalar-valued or vector-valued) invariant measure is supported either in V or in ∂V. 相似文献
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改进分形模型的图像降噪算法 总被引：1，自引：0，他引：1
利用分形几何中的迭代函数系统理论，针对空间域建立图像分形模型存在相似匹配速度慢的缺点，提出了一种变换域的改进分形模型方法，该方法用频域的搜索匹配代替空间域的搜索匹配，不但域块和区块达到相似匹配的速度更快，而且可以自适应的调整参与计算相似匹配的参数个数．实验结果表明改进的分形模型应用于图像降噪不但可以有效的保护图像的细节和边缘信息，并避免原方法在降噪的同时带来块效应的缺点． 相似文献
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首次发现了类似墨竹叶之ＩＦＳ分形图及其系列衍生图象的生成 相似文献
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