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基于水平集函数与里 Gaut 核卷积的图像分割

Image Segmentation via Convolution of a Level-Set Function with a Rigaut Kernel.

作者信息

Subakan Ozlem N, Vemuri Baba C

机构信息

Department of Computer and Information Science and Engineering.

出版信息

Proc IEEE Comput Soc Conf Comput Vis Pattern Recognit. 2008;2008:1-6. doi: 10.1109/CVPR.2008.4587460.

DOI:10.1109/CVPR.2008.4587460
PMID:19209232
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC2636712/
Abstract

Image segmentation is a fundamental task in Computer Vision and there are numerous algorithms that have been successfully applied in various domains. There are still plenty of challenges to be met with. In this paper, we consider one such challenge, that of achieving segmentation while preserving complicated and detailed features present in the image, be it a gray level or a textured image. We present a novel approach that does not make use of any prior information about the objects in the image being segmented. Segmentation is achieved using local orientation information, which is obtained via the application of a steerable Gabor filter bank, in a statistical framework. This information is used to construct a spatially varying kernel called the Rigaut Kernel, which is then convolved with the signed distance function of an evolving contour (placed in the image) to achieve segmentation. We present numerous experimental results on real images, including a quantitative evaluation. Superior performance of our technique is depicted via comparison to the state-of-the-art algorithms in literature.

摘要

图像分割是计算机视觉中的一项基本任务,有许多算法已在各个领域成功应用。但仍有诸多挑战有待应对。在本文中,我们考虑其中一个挑战,即在保留图像(无论是灰度图像还是纹理图像)中存在的复杂和详细特征的同时实现分割。我们提出了一种新颖的方法,该方法不使用关于正在分割的图像中对象的任何先验信息。分割是在统计框架中使用通过应用可操纵的伽柏滤波器组获得的局部方向信息来实现的。此信息用于构建一个称为里高特核的空间变化核,然后将其与演化轮廓(放置在图像中)的符号距离函数进行卷积以实现分割。我们展示了在真实图像上的大量实验结果,包括定量评估。通过与文献中最先进的算法进行比较,展示了我们技术的卓越性能。

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引用本文的文献

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Color Image Segmentation in a Quaternion Framework.四元数框架下的彩色图像分割
Energy Minimization Methods Comput Vis Pattern Recognit. 2009 Jan 1;5681(2009):401-414. doi: 10.1007/978-3-642-03641-5_30.

本文引用的文献

1
Feature Preserving Image Smoothing Using a Continuous Mixture of Tensors.使用张量的连续混合进行特征保留图像平滑处理。
Proc IEEE Int Conf Comput Vis. 2007 Oct 14;11:nihpa163297. doi: 10.1109/ICCV.2007.4408918.
2
Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification.用于图像分割、去噪、插值和放大的Mumford-Shah泛函的曲线演化实现。
IEEE Trans Image Process. 2001;10(8):1169-86. doi: 10.1109/83.935033.
3
A unified computational framework for deconvolution to reconstruct multiple fibers from diffusion weighted MRI.一种用于去卷积以从扩散加权磁共振成像重建多根纤维的统一计算框架。
IEEE Trans Med Imaging. 2007 Nov;26(11):1464-71. doi: 10.1109/TMI.2007.907552.
4
Multi-fiber reconstruction from diffusion MRI using mixture of Wisharts and sparse deconvolution.基于威沙特混合模型和稀疏反卷积的扩散磁共振成像多纤维重建
Inf Process Med Imaging. 2007;20:384-95. doi: 10.1007/978-3-540-73273-0_32.
5
A novel tensor distribution model for the diffusion-weighted MR signal.一种用于扩散加权磁共振信号的新型张量分布模型。
Neuroimage. 2007 Aug 1;37(1):164-76. doi: 10.1016/j.neuroimage.2007.03.074. Epub 2007 May 3.
6
A nonparametric statistical method for image segmentation using information theory and curve evolution.一种基于信息论和曲线演化的用于图像分割的非参数统计方法。
IEEE Trans Image Process. 2005 Oct;14(10):1486-502. doi: 10.1109/tip.2005.854442.