论文标题
圆形的哈特利变换：准卷入
Rounded Hartley Transform: A Quasi-involution
论文作者
论文摘要
引入了从DHT得出的新的无乘法转换：RHT。对RHT的性质的调查使我们达到了弱转交的概念。使用新构造，我们表明RHT不是DHT的参与度，而是表现出准融化属性，这是源自矩阵的周期性的新定义。因此，RHT不使用实际的逆变换，而是将RHT视为一种涉及变换，从而允许使用直接（无乘法）来评估逆变换。提出了一种快速计算RHT的算法。该算法显示嵌入式属性。我们还将RHT扩展到了二维情况。这使我们能够对RHT对图像的影响进行初步分析。尽管有一些SNR损失，但对于涉及与决策制定相关的图像监视的应用，RHT可能非常有趣，例如军事应用或医学成像。
A new multiplication-free transform derived from DHT is introduced: the RHT. Investigations on the properties of the RHT led us to the concept of weak-inversion. Using new constructs, we show that RHT is not involutional like the DHT, but exhibits quasi-involutional property, a new definition derived from the periodicity of matrices. Thus instead of using the actual inverse transform, the RHT is viewed as an involutional transform, allowing the use of direct (multiplication-free) to evaluate the inverse. A fast algorithm to compute RHT is presented. This algorithm show embedded properties. We also extended RHT to the two-dimensional case. This permitted us to perform a preliminary analysis on the effects of RHT on images. Despite of some SNR loss, RHT can be very interesting for applications involving image monitoring associated to decision making, such as military applications or medical imaging.
