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PYRAMIDAL IMAGE REPRESENTATION WITH DEFORMATION: REFORMULATION OF DOMAIN TRANSFORM AND FILTER DESIGNS

机译:金字塔形图像表示与变形:域变换和过滤器设计的重新定制

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Edge-preserving smoothing is one of the most important topics for image and video processing. Recently, we presented a multiscale image decomposition method based on domain transform, which is an efficient edge-preserving smoothing method. It is robust to noise compared with the original domain transform. In this paper, we generalize the scheme so that it can be applied to not only domain transform but also any deformation (warping) of pixels (or nonuniformly sampled signals) through showing the facts that the domain transform is a specific method of mesh deformation with a simple cost function. We also propose construction methods of filters by using arbitrary continuous filters or graph spectral filters in order that various filters can be accommodated by our method. To evaluate the proposed method, we performed experiments on pencil drawing and stylization. These results show that our approach easily changes the smoothing strength in accordance with the applications due to its multiscale scheme.
机译:边缘保留平滑是图像和视频处理最重要的主题之一。最近,我们提出了一种基于域变换的多尺度图像分解方法,这是一种有效的边缘保留平滑方法。与原始域变换相比,对噪声具有稳健性。在本文中,我们概括了该方案,使其不仅应用于域变换,还可以通过显示域变换是网格变形的特定方法的事实来应用像素(或非均匀采样信号)的任何变形(或不均匀的信号)一个简单的成本函数。我们还通过使用任意连续滤波器或曲线谱滤光片来提出滤波器的施工方法,以便通过我们的方法能够容纳各种滤波器。为了评估所提出的方法,我们对铅笔绘图和程式化进行了实验。这些结果表明,由于多尺度方案,我们的方法可以根据应用轻松改变平滑强度。

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