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1.
一种基于单目多幅图像的三维曲面重构方法   总被引:6,自引:1,他引:5  
根据在不同照明情况下获得的多幅图像,提出一种三维曲面重构方法。先运用解方程组、复化积分计算表面高度值,再利用变分和有限差分思想对所得拟合表面进行进一步的迭代和修正,从而获得最佳再建表面。通过对选取曲面的算例分析,表明该算法具有一定的准确性和适用性。  相似文献
2.
三维图像重构的参数估计与算法实现   总被引:2,自引:0,他引:2  
论文介绍了一种SFS算法的参数估计及其实现.它在考虑自遮掩影响的情况下,有效地估计了SFS算法中涉及的各种控制参数,并引入亮度约束、灰度梯度约束和可积性约束,计算出表面高度和表面向量,实现三维重构.最后还指出了在Matlab中实现需要注意的问题.  相似文献
3.
硅纳米梁的静态特性分析   总被引:1,自引:1,他引:0  
鲍芳  于虹  黄庆安 《传感技术学报》2006,19(5):1713-1716
提出了用于分析硅纳米梁静态弯曲的半连续体模型.与传统的连续体模型相比,该方法考虑了厚度方向进入纳米尺度所带来的物理特性的离散化现象.基于Sun-Zhang提出的应变能量计算模型,运用变分原理,推导出半连续体模型.从计算结果可以看出,几何尺寸和表面原子的重构、弛豫效应对梁的弯曲有一定影响.该模型分析梁的弯曲得到的结果与连续体模型相比偏小,随着尺寸的增大误差逐渐减小,在宏观尺寸下两种模型最终趋于一致.  相似文献
4.
由单幅二维灰度图像重构物体表面形状*   总被引:1,自引:0,他引:1       下载免费PDF全文
鉴于目前很少有论文讨论完整的由单幅二维灰度图像重构物体表面形状的算法,包括它的控制参数的估计及算法的实现,介绍了一种完整的SFS算法.它在考虑自遮掩影响的情况下,有效地估计了SFS算法中涉及的各种控制参数,并引入亮度约束、灰度梯度约束和可积性约束,计算出表面高度和表面向量,实现三维重构.与传统的算法相比,本算法无论是在速度还是在精度方面都达到了比较高的水平,具有一定的应用前景.最后还指出了在MATLAB中实现需要注意的问题.  相似文献
5.
利用点扩展函数信息的变分图像去噪及增晰方法   总被引:1,自引:0,他引:1  
基于偏微分方程(PDE)及变分法的图像去噪方法利用其数学特性得到了优于传统方法的结果,但很多模型只考虑了去噪的问题。通过对最小化凸能量函数模型引入点扩展函数信息,构造了具有去模糊效果的变分去噪模型,采用了Kacˇanov线性化方法进行求解,得到了更好的结果,实验结果及数据证明了模型的有效性。  相似文献
6.
This paper concerns with nonuniform sampling and interpolation methods combined with variational models for the solution of a generalized color image inpainting problem and the restoration of digital signals. In particular, we discuss the problem of reconstructing a digital signal/image from very few, sparse, and complete information and from a substantially incomplete information, which will be assumed as the result of a nonlinear distortion. Differently from well known inpainting applications for the recovery of gray images, the proposed techniques apply to color images embedding blanks where only gray level information is given. As a typical and inspiring example, we illustrate the concrete problem of the color restoration of a destroyed art fresco from its few known fragments and some gray picture taken prior to the damage. Numerical implementations are included together with several examples and numerical results to illustrate the proposed method. The numerical experience suggests furthermore that a particular system of coupled Hamilton-Jacobi equations is well-posed. Massimo Fornasier received his Ph.D. degree in Computational Mathematics on February 2003 at the University of Padova, Italy. Within the European network RTN HASSIP (Harmonic Analysis and Statistics for Signal and Image Processing) HPRN-CT-2002-00285, he cooperated as PostDoc with NuHAG (the Numerical Harmonic Analysis Group), Faculty of Mathematics of the University of Vienna, Austria and the AG Numerical/Wavelet-Analysis Group of the Department of Mathematics and Computer Science of the Philipps-University in Marburg, Germany (2003). Since June 2003 he is research assistant at the Department of Mathematical Methods and Models for the Applied Science at the University of Rome “La Sapienza”. Since May 2004 he is Individual Marie Curie Fellow (project FTFDORF-FP6-501018) at NuHAG. His research interests include applied harmonic analysis with particular emphasis on time-frequency analysis and decompositions for applications in signal and image processing. Since 1998, he developed with Domenico Toniolo the Mantegna Project (http://www.pd.infn.it/~labmante/) at the University of Padova and the local laboratory for image processing and applications in art restoration. Recently he has focused his attention on adaptive and dynamical schemes for the numerical solution of (pseudo) differential equations and inverse problems in digital signal processing.  相似文献
7.
A solution to a variational calculus problem is studied under the conditions of integrant convexity. The existence theorem is proved. As an example, a function is given, which satisfies all the conditions of the theorem but is not convex.  相似文献
8.
Past research into multi-modality sensor data fusion has given rise to approaches that are generally heuristic and ad hoc. In this paper we utilize the calculus of variations as the underlying framework for fusing registered images of different modalities when models relating these modalities are available. The result is a mathematically rigorous method for improving the accuracy with which parameters can be estimated. Using both dense and sparse simulated range and intensity data, the proposed approach is demonstrated on the problem of estimating the surface representing the three dimensional structure of a scene. The results indicate that a four to five-fold increase in surface estimation accuracy with respect to the original input data can be realized. Furthermore, an 8%–250% increase in accuracy over surface estimation from each sensing modality alone (i.e., via shape from shading or surface reconstruction) can be realized.H. Pien is supported by Draper Laboratory under IR&D No. 451; J. Gauch is partially supported by the National Science Foundation under Grant IRI-9109431.  相似文献
9.
图像分割和边界提取对于图像理解、图像分析、模式识别、计算机视觉等具有非常重要的意义,而活动轮廓模型(Active Contour Model)则是图像分割和边界提取的重要工具之一,它主要包括参数活动轮廓模型和几何活动轮廓模型两类。相对于参数活动轮廓模型,几何活动轮廓模型具有很多的优点,如计算的简单性和在变形的过程中能够处理曲线的拓扑变化,等等。近年来,几何活动轮廓模型在理论和应用方面的研究都有很大的发展,令人关注。为了使人们对这一技术有一概略了解,首先提出了一种新的分类方式用来描述参数活动轮廓模型、几何活动轮廓模型以及它们之间的联系,然后通过重点分析几个经典的活动轮廓模型及其算法实现来综述活动轮廓模型的研究、发展及其应用情况,最后指出了进一步进行活动轮廓模型理论与应用研究的方向。  相似文献
10.
目的 为了增强图像超分辨率重建的准确性,克服传统插值所产生的边缘模糊与边缘锯齿等负面效果,提出一种基于多方向模板变分模型的单幅图像超分辨率重建方法。方法 首先构建体现28个方向的多方向模板对输入图像的轮廓方向进行计算,同时通过将TV模型引入到图像轮廓的估计中来确定边缘轮廓的最优方向;在此基础上通过进行基于所提出的多方向模板的图像插值来实现图像的超分辨率重建。结果 对比基于活动轮廓的图像边缘插值方法重建的经典高分辨率测试图像,本文方法在平均峰值信噪比和平均结构相似度方面分别提高了1.578 dB和 0.030 02 dB。结论 本文方法可以有效地克服传统插值方法所产生的边缘模糊和边缘锯齿化等负面效果,也避免了较少方向模板所带来的边缘和纹理丰富区域的纹理失真现象,可以取得较好的重建效果。  相似文献
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