论文标题
小波可行性问题的核心投影方法
Centering Projection Methods for Wavelet Feasibility Problems
论文作者
论文摘要
我们重新审视了生产线上紧凑的光滑正交小波的可行性方法。我们强调了它的灵活性,并说明了对称和基数属性如何轻松嵌入设计标准中。我们使用最近引入的居中方法解决了所得的小波可行性问题,并比较性能。解决方案接纳具有接近对称性和接近基数特性的实用值紧凑的平滑正交缩放函数和小波。
We revisit the feasibility approach to the construction of compactly supported smooth orthogonal wavelets on the line. We highlight its flexibility and illustrate how symmetry and cardinality properties are easily embedded in the design criteria. We solve the resulting wavelet feasibility problems using recently introduced centering methods, and we compare performance. Solutions admit real-valued compactly supported smooth orthogonal scaling functions and wavelets with near symmetry and near cardinality properties.