然后讨论用这种多项式变换计算二维数字卷积和二维dft的方法。
We discussed then how to compute two-dimensional digital convolution and two-dimensional DFT with the polynomial transforms, which are introduced in this paper.
本文研究利用快速多项式变换(FPT)计算二维循环卷积的几种算法，改进了其中的一种算法，编制了相应的计算机程序。
In this paper, algorithms for computing 2-d circular convolution by using Fast Polynomial Transform (FPT) are reviewed and discussed, and then an improved algorithm is presented.
本文得到下列结果：通过应用矩阵多项式，得到一个相似变换下变换矩阵的简便解法。
This paper obtained the following results: a simple solution for the similarity matrix under a similarity transformation is obtained by using a matrix polynomial.
利用辛变换条件得到了一些新的切比雪夫多项式公式、三角恒等式和双曲恒等式。
In this paper by using the symplectic transformation condition, some new formulas including Chebyshev Polynomial, trigonometric identity, hyperbolic identity were obtained.
明安图变换的作用仅限于确认无穷多项式之间的特定关系。
Minganto's transformation functions merely in affirming the relation between certain polynomials.
研究了友阵的性质，论述了用相似变换计算矩阵特征多项式的方法。
The property of companion matrix is studied, and the method of calculating the characteristic polynomial of matrix with similar transformation is explained.
利用矩阵的初等变换，给出了两个多项式的最小公倍式、最大公因式及其系数多项式的统一求法。
In this paper we get a seeking unified method of the least common multiple the greatest common factor and coefficients polynomial by implementing elementary row transformation in a polynomial matrix.
该算法利用多项式带余除法的相关推论，通过矩阵的列变换来求解关键方程，这样可以快速地得到商式和余式，从而可以减少迭代运算的次数。
The proposed algorithm use the related deduction of division with reminder of polynomials and the key equation is solved by column transformation of matrix.
给出了两两互素多项式下线性变换的核的直和分解，并应用于幂等矩阵（对合矩阵）的秩的等式证明中。
The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.
利用矩阵的初等变换，给出了两个多项式的最小公倍式、最大公因式及其系数多项式的统一求法。
Thus we gave a kind of new method for solving the greatest common factor of two-variable polynomials.
从多项式型混合函数出发，通过数学变换，构造了一类混合函数—混合函数类。
Based on the polynomial blending function, a kind of blending function-blending function class and a new type blending function-rational one are deduced.
本文给出用矩阵的行初等变换求两个多项式最大公因式的方法。
In this paper the author gives a new method to solve the greatest common formula of two multinomials elementary transformation of raws of the matrix.
该方法在基于控制点的多项式粗配准的基础上，利用分类图像相关实现了基于仿射变换模型的精配准。
A feature matching (algorithm based) on classification is proposed, which uses the correlation of the classified images to realize a precise registration after a coarse (registration).
相位误差的粗估计采用离散多项式相位变换（DPT）方法，而误差精估计则基于RELAX类算法。
The estimate of QPEs is roughly obtained by use of the Discrete Polynomial-Phase Transform(DPT), then it is refined by a RELAX-based parametric estimation method.
分别给出计算矩阵的最小多项式和向量关于矩阵的最小多项式的初等变换方法。
A method using elementary transformation for calculating minimum polynomials of matrices and vectors are given.
给出求多项式组的最大公因式的一种简单方法——矩阵变换的方法，并给出算法。
Division algorithm is a common method to evaluate the greatest common formula of multinomial.
介绍了线性变换作用向量的化零多项式与最小多项式的概念，并讨论了它们的性质。
This paper describes the matrix structure and geometric properties of planar linear transformations, based on homogeneous coordinates.
介绍了线性变换作用向量的化零多项式与最小多项式的概念，并讨论了它们的性质。
This paper describes the matrix structure and geometric properties of planar linear transformations, based on homogeneous coordinates.
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