查询词典 absolute homotopy group

In IBR (image-based rendering) application, we introduce homotopy mapping into view interpolation based on uncalibrated images, and present three forms of perspective homotopic transform according to different conditions.①The linear interpolation technique presented only preserves perspective geometry, but the intrinsic and extrinsic parameters of camera are changed. For the uncalibrated images, its application is restricted.②The view interpolation presented for rotational uncalibrated images can preserve both perspective geometry and the intrinsic parameters of camera, and the view position can be controlled. At meanwhile, the image registration method and panoramic images synthetic method is presented.

3在基于图象的绘制技术方面，将同伦变换引入视图插补中，针对未标定图象序列，并根据以下三种情况给出相应的透视同伦变换，①只保证符合透视关系，而摄象机内外参数均已改变的线性插补技术，对于标定图象序列，这种插补技术是非约束的，而对于未标定图象序列则只适合于某些特殊场景；②旋转图象序列的视图插补技术，同时给出了旋转图象序列的整合及全景图生成方法；③通过对非约束图象的预校正，完成平移情况下的视点插补。

Then it's hopeful for us to inquire into the problem of topological classification of topological spaces,not being confined to their homotopy classification.

这篇文章就将利用平环和M|¨bius带三角剖分导出的复杂网络的研究成果来猜测新的拓扑不变量。

We consider the existence of positive solutions of second order impulsive boundary value problems by constructing the appropriate homotopy operator and applying the theory of fixed point index in cones. our results contain the conclusion when f ≥ 0 and J_k = 0([6]). Secondly, we discuss multiple positive solutions of the following impulsive boundary

其次，我们在§2.2中讨论了下面的脉冲微分边值问题多正解的存在性在这一部分的讨论中，利用不动点指数理论，在f既非超线性又非次线性的情形下，得到了两个正解的存在性定理，把文[7]的结果推广到脉冲微分边值

Supposing the nonlinear term bounded, by using homotopy invariance theorem, we proved the existence of solutions of boundary value problems for a class of nonlinear ordinary differential equations.

在假设一类常微分方程边值问题中的非线性项有界的条件下，运用同伦映射不变性定理，得出了解的存在性结论。

We establish an asymptotic Lipschitz homotopy invariance theorem for these K-homology groups and K-theory groups. We show that the asymptotic index maps are isomorphisms for the asymptotically scaleable spaces, which include Euclidean cones, simply connected complete Riemannian manifolds with nonpositive curvature.

我们证明了这些K-同调群和K-理论群具有渐近Lipschitz同伦不变性；对于渐近可标度的几何空间（包括欧氏锥、单连通非正曲率完备黎曼流形等），证明了渐近指标映射为同构。

The results in this thesis enrich the application range of media wave theory and the homotopy methods application in inversion problems, which are of great theoretical and practical significance.

本文的研究结果丰富了介质波动理论和同伦方法的应用范围，对促进正、反演在工程中的应用具有一定的理论意义与实际价值。

By using the continuation theorem of coincidence degree theory, homotopy invariance property and Lyapunov's approach, some sufficient conditions ensuring the existence and stability of positive periodic solutions of the system are obtained.

利用Mawhin重合度理论，并结合同伦不变性质，以及Lyapunov方法，获得该系统正周期解的存在性和全局稳定性的充分条件，推广和改进最近一些文献的结果。

The condition for the existence of positive elliptic periodic solution was found using Floquet theory; and the theorem of the existence of positive elliptic periodic solution was proved by the method of upper and lower solutions and homotopy invariance theory of topology degree; then an example was given.

利用Floquet理论得到了该方程的正椭圆周期解存在的条件；然后利用上下解方法和拓扑度的同伦不变性理论，证明了该模型正椭圆周期解的存在性定理，并进行了实例验证。

Maximum Clique Problem; Information Theory Method; Homotopy Method; Entropy Regularization; D-function Regularization

基础科学，数学，代数、数论、组合理论最大团问题；信息论方法；同伦方法；熵正则化； D函数正则化

In Chapter 5, we go forward extend the results we have obtained to homotopy K3 surfaces of general type and give some restriction of G-equivariant index.

第五章把上述结果进一步推广到一般情形下的同伦K3曲面上，并给出了其等变指标的一些限制。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48