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Estimation of Alpha Mattes for Multiple Image Layers

机译:多个图像层的Alpha遮罩的估计

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摘要

Image matting deals with the estimation of the alpha matte at each pixel, i.e., the contribution of the foreground and background objects to the composition of the image at that pixel. Existing methods for image matting are typically limited to estimating the alpha mattes for two image layers only. However, in several applications one is interested in editing images with multiple objects. In this work, we consider the problem of estimating the alpha mattes of multiple (n ge 2) image layers. We show that this problem can be decomposed into n simpler subproblems of alpha matte estimation for two image layers. Moreover, we show that, by construction, the estimated alpha mattes at each pixel are constrained to sum up to 1 across the multiple image layers. A key feature of our framework is that the alpha mattes can be estimated in closed form. We further show that, due to the nature of spatial regularization used in the estimation, the final estimated alpha mattes are not constrained to take values in [0,1]. Hence, we study the optimization problem of estimating the alpha mattes for multiple image layers subject to the fact that the alpha mattes are nonnegative and sum up to 1 at each pixel. We present experiments to show that our proposed method can be used to extract mattes of multiple image layers.
机译:图像遮罩处理每个像素处的alpha遮罩的估计,即前景和背景对象对该像素处图像组成的贡献。现有的图像遮罩方法通常仅限于仅估计两个图像层的Alpha遮罩。然而,在几种应用中,人们对编辑具有多个对象的图像很感兴趣。在这项工作中,我们考虑了估计多个(n ge 2)个图像层的alpha遮罩的问题。我们表明,该问题可以分解为两个图像层的n个更简单的alpha遮罩估计子问题。此外,我们表明,通过构造,每个像素的估计alpha遮罩被约束为在多个图像层上总计为1。我们框架的一个关键特征是可以以封闭形式估计alpha遮罩。我们进一步表明,由于在估算中使用的空间正则化的性质,最终估算的alpha遮罩不受约束以采用[0,1]中的值。因此,我们研究估计多个图像层的Alpha遮罩的优化问题,因为Alpha遮罩是非负的并且每个像素的总和为1。我们目前的实验表明,我们提出的方法可用于提取多个图像层的遮罩。

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