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181.
Precoloring extension on unit interval graphs 总被引:1,自引:0,他引:1
Dániel Marx 《Discrete Applied Mathematics》2006,154(6):995-1002
In the precoloring extension problem a graph is given with some of the vertices having preassigned colors and it has to be decided whether this coloring can be extended to a proper k-coloring of the graph. Answering an open question of Hujter and Tuza [Precoloring extension. III. Classes of perfect graphs, Combin. Probab. Comput. 5 (1) (1996) 35-56], we show that the precoloring extension problem is NP-complete on unit interval graphs. 相似文献
182.
Miklós Hoffmann 《Numerical Algorithms》2005,39(1-3):175-186
Surface reconstruction from scattered data using Kohonen neural network is presented in this paper. The network produces a topologically predefined grid from the unordered data which can be applied as a rough approximation of the input set or as a base surface for further process. The quality and computing time of the approximation can be controlled by numerical parameters. As a further application, ruled surface is produced from a set of unordered lines by the network.
AMS subject classification 68U07, 65D17, 68T20 相似文献
183.
ZHANG WEIPING 《数学年刊B辑(英文版)》2005,26(1)
The author presents an alternate proof of the Bismut-Zhang localization formula of ηinvariants, when the target manifold is a sphere, by using ideas of mod k index theory instead of the difficult analytic localization techniques of Bismut-Lebeau. As a consequence, it is shown that the R/Z part of the aualytically defined η invariant of Atiyah-Patodi-Singer for a Dirac operator on an odd dimensional closed spin manifold can be expressed purely geometrically through a stable Chern-Simons current on a higher dimensional sphere. As a preliminary application, the author discusses the relation with the Atiyah-Patodi-Singer R/Z index theorem for unitary flat vector bundles,and proves an R refinement in the case where the Dirac operator is replaced by the Signature operator. 相似文献
184.
1 引言图像拼接是指将具有部分景物重合的图像进行无缝拼合,生成一张具有较宽视角的高分辨率图像的技术.现有的图像拼接技术主要有两类:基于区域的方法和基于特征的方法.基于区域的方法[1]通常是取参考图像中某一窗口中的点作为特征模板,建立描述 相似文献
185.
Henk J.A.M. Heijmans Batrice Pesquet-Popescu Gemma Piella 《Applied and Computational Harmonic Analysis》2005,18(3):252-281
In this paper, we propose a technique for building adaptive wavelets by means of an extension of the lifting scheme. Our scheme comprises an adaptive update lifting step and a fixed prediction lifting step. The adaptivity consists hereof that the system can choose between two different update filters, and that this choice is triggered by the local gradient of the original signal. If the gradient is large (in some seminorm sense) it chooses one filter, if it is small the other. We derive necessary and sufficient conditions for the invertibility of such an adaptive system for various scenarios. Furthermore, we present some examples to illustrate our theoretical results. 相似文献
186.
We continue our study [S. Smale, D.X. Zhou, Shannon sampling and function reconstruction from point values, Bull. Amer. Math. Soc. 41 (2004) 279–305] of Shannon sampling and function reconstruction. In this paper, the error analysis is improved. Then we show how our approach can be applied to learning theory: a functional analysis framework is presented; dimension independent probability estimates are given not only for the error in the L2 spaces, but also for the error in the reproducing kernel Hilbert space where the learning algorithm is performed. Covering number arguments are replaced by estimates of integral operators. 相似文献
187.
Marc Oliver Rieger Paolo Tilli 《Calculus of Variations and Partial Differential Equations》2005,23(4):373-390
We study by means of
-convergence the asymptotics of the rescaled Mumford-Shah functional
when
and prove the existence of a
-limit. The limit functional is easy to handle and can be used as a simple approximation to the original Mumford-Shah functional. Moreover, its minimizers can be interpreted as a sort of asymptotic probability distribution of the sets
. Some examples illustrate the use of this method in image segmentation.Received: 12 June 2004, Accepted: 12 July 2004, Published online: 10 December 2004 相似文献
188.
189.
190.
Deformation measurements by digital image correlation: Implementation of a second-order displacement gradient 总被引:10,自引:0,他引:10
This paper outlines the procedure for refining the digital image correlation (DIC) method by implementing a second-order approximation
of the displacement gradients. The second-order approximation allows the DIC method to directly measure both the first- and
second-order displacement gradients resulting from nonlinear deformation. Thirteen unknown parameters, consisting of the components
of displacement, the first- and second-order displacement gradients and the gray-scale value offset, are determined through
optimization of a correlation coefficient. The previous DIC method assumes that the local deformation in a subset of pixels
is represented by a first-order Taylor series approximation for the displacement gradient terms, so actual deformations consisting
of higher order displacement gradients tend to distort the infinitesimal strain measurements. By refining the method to measure
both the first- and second-order displacement gradients, more accurate strain measurements can be achieved in large-deformation
situations where second-order deformations are also present. In most cases, the new refinements allow the DIC method to maintain
an accuracy of ±0.0002 for the first-order displacement gradients and to reach ±0.0002 per pixel for the second-order displacement
gradients. 相似文献