本文证明了多维卷积算子逼近的逆定理。
This paper investigates the converse theorems for the multidimensional convolution operator approximation.
文中给出了二阶卷积算子的定义和性质并举例说明。
The second order convolution operators are defined and several properties are discussed.
本文建立了具有正核的多维卷积算子逼近的量化定理。
In this paper, the quantitative theorems on the approximation by multidimensional convolution operators are established.
接着本文提出了一种基于卷积算子的铅笔纹理生成算法。
Then, this article proposed a pencil texture generation method based on the pencil filter.
比较了循环卷积算予和线性卷积算子在计算局部统计量上的异同点。
The circular convolution operator is compared with the linear convolution operator in the calculation of local statistics.
特别地，证明了这两个子类的几个包含关系、积分算子和卷积性质。
In particular, several inclusion relations, integral operators and convolution properties for each of these function classes are proven.
研究了数字图像处理中两种最常用的算子——离散二维傅立叶变换和离散二维卷积，并给出了它们在RCA上的映射策略和映射过程。
Study two of the most important basic operations in digital image processing: 2-D Discrete Fourier Transform and 2-D Discrete Convolution Transform. Map them on RCA.
研究了数字图像处理中两种最常用的算子——离散二维傅立叶变换和离散二维卷积，并给出了它们在RCA上的映射策略和映射过程。
Study two of the most important basic operations in digital image processing: 2-D Discrete Fourier Transform and 2-D Discrete Convolution Transform. Map them on RCA.
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