【摘 要】
:
In this talk,I will present a novel low dimensional manifold model for some image processing problem.This model is based on the observation that for many natural images,the patch manifold usually has
【机 构】
:
Tshinghua University
【出 处】
:
2016信号处理、优化与控制国际研讨会(2016 International Workshop on Signal Pr
论文部分内容阅读
In this talk,I will present a novel low dimensional manifold model for some image processing problem.This model is based on the observation that for many natural images,the patch manifold usually has low dimension structure.Then,we use the dimension of the patch manifold as a regularization to recover the original image.Using some formula in differential geometry,this problem is reduced to solve Laplace-Beltrami equation on manifold.The Laplace-Beltrami equation is solved by the point integral method.Numerical tests show that this method gives very good results in image inpainting,denoising and super-resolution problem.
其他文献
利用离散单元法研究了基于颗粒破碎的碎石料蠕变及应力松弛过程中的力学特性。碎石料的基本模型为球形颗粒粘接而成的可破碎颗粒簇,同时设置粘接强度与时间相关来引入时间效应的影响。首先,用碎石料常规三轴实验以及侧限蠕变实验结果对模型进行校验,得出本文提出的模型可以很好地重现碎石料常规三轴及侧限蠕变过程中的力学特性。随后,再利用该模型进行三轴蠕变及应力松弛实验的模拟,侧面反映了粗颗粒材料的nonisotach
陶瓷材料广泛应用于各种行业,准确预测其力学特性尤其是其内部裂纹扩展行为至关重要。本工作通过发展微观颗粒间的作用模型,基于离散单元法数值模拟定量研究了陶瓷材料的力学特性。通过考虑多体作用下的空间耦合效应,对经典的两体接触Hertz模型进行了修正。采用新发展的离散单元法数值模型,考察了拉伸作用下部分烧结Al2O3陶瓷材料的力学性能。模拟预测的杨氏模量和断裂强度随固含率的变化与实验结果定量吻合,验证了接
土石混合料广泛应用于高土石坝、路基、机场高填方地基等工程中,含石率对混合料的力学性能影响较大,值得深入研究。采用颗粒流程序PFC3D生成不同含石率的土石混合料试样,计算分析了含石率对堆积密度的影响,当含石率在70%左右时试样孔隙比最小,这与已有试验结果基本相符。分别对试样进行侧限压缩和三轴剪切试验模拟,分析了含石率对侧限压缩模量、峰值强度以及临界状态线等的影响。此外,研究了配位数、考虑接触类型的接
The deluge of networked big data motivates the development of computation-and communication-efficient network information processing algorithms.In this paper,we propose three data-adaptive censoring s
Image colorization aims to recover the whole color image based on a known gray scale image and some known color information.In this talk,we propose an image colorization method by using graph biLaplac
Orthogonality constrained problems have wide applications in many problems including p-harmonic flow and eigenvalues problems in electronic structure calculation and many others.One of the main challe
Piecewise constant images,which are sampled from piecewise constant functions,are an important kind of images data.Typical examples include QR codes(Quick Response codes),logos and cartoon images,whic
Since digital images are usually sparse in the wavelet frame domain,some non-convex minimization models based on wavelet frame have been proposed and sparse approximations have been widely used in ima
Phase retrieval(PR)problem is a traditional ill-conditioned inverse problem arising in various applications,including optical imaging,astronomy and crystallography.Owing to the progress in compressed
Recent advances in the sensors technology of remote sensing have led to an increased availability of multi-sensor data from the same area.In particular,hyperspectral(HS)images provide a detailed descr