Plane Elasticity and Dislocation of One-Dimensional Hexagonal Quasicrystals with Point Group 6

Plane elasticity theory of one-dimensional hexagonal quasicrystals with point group 6 is proposed and established. As an application of this theory, one typical example of dislocation problem in the quasicrystals is investigated and its exact analytic solution is presented. The result obtained indicates that the stress components of (elastic) fields of a straight dislocation in the quasicrystals still first order singularity, which is the same as the (general crystals,) but are related with the Burgers vector of phason fields, which is different from the general (crystals.)

基于Point-to-Plane ICP的点云与影像数据自动配准

针对三维激光点云与二维影像数据的融合问题,采用了一种基于Point-to-Plane ICP的配准方法;该方法仅采用一块普通的平面黑白棋盘格作为标定板,能同时完成单目相机的标定与三维激光扫描仪和相机的联合标定,进而实现三维点云数据与二维影像数据的配准;与以往基于控制点或者边缘对应的配准方法不同,该方法使用RANSAC算法自动提取场景中的标定平面,通过优化点到平面的距离来求取两组数据的变换。实验结果表明,该配准方法减少了人工的干预,并获得了很高的精度。

Research on Algorithm of the Point Set in the Plane Based on Delaunay Triangulation

In the paper, an improved algorithm is presented for Delaunay triangulation of the point-set in the plain. Based on the original algorithm, we propose the notion of removing circle. During the process of triangulation, and the circle dynamically moves, the algorithm which is simple and practical, therefore evidently accelerates the process of searching a new point, while generating a new triangle. Then it shows the effect of the algorithm in the finite element mesh.

Research on the Arrangement of Dew Point Temperature Detectors of Capillary Plane Radiation Air-Conditioning

Based on analysis of the reason and process of condensation on ceiling radiant cooling panels, two kinds of arrangement of detectors are put forward. The physical model is established, the results show that detectors are arranged as the form of triangle is more suitable. It can not only satisfy the use requirement but also it is economical and practical. Finally we can conclude that the inlet water temperature 0.5°C higher than dew point temperature is safe and reliable.

Instantaneous Point, Line, and Plane Motions Using a Clifford Algebra

The motions of points, lines, and planes, embedded in a rigid body are expressed in a unified algebraic framework using a Clifford algebra. A Clifford algebra based displacement operator is addressed and its higher derivatives from which the coordinate-independent characteristic numbers with simple geometric meaning are defined. Because of the coordinate independent feature, no tedious coordinate transformation typically found in the conventional instantaneous invariants methods is needed.

Type-2 Fuzzy Point

The important role of the concept of type-2 fuzzy point in the formation of type-2 fuzzy open sets such as type-2 fuzzy δ≈-closed?set this important role make the main objective of this paper is to introduce the concept type-2 fuzzy point of type-2 fuzzy set an important definitions in the composition of this concept as α≈-plane?and the support of type-2 fuzzy set after preliminaries we present the definition of type-1 fuzzy set (fuzzy set) and fuzzy point and the special concepts that helped to configure them as support.

Complex method of the plane elasticity in 2D quasicrystal with point group 10 mm tenfold rotational symmetry and holey problems

The complex method of the plane elasticity in 2D quasicrystal with point group 10 mm tenfold rotational symmetry is established. First displacement potential function in the quasicrystal is represented by four analytic functions. Then by utilizing the properties of analytic function and through a great deal of derivation, the complex representations of stresses and displacementscomponents of phonon fields and phason fields in the quasicrystal are given, which are the theo-retical foundation for this method. From this theory, and by the help of conformal transformations in the theory of complex function, the problems of elliptic hole in the quasicrystal are solved. Its spe-cial cases are the solutions of well-known crack problem. Meanwhile, the results show that even if under the self-counterbalance force in the quasicrystal plane with elliptic hole, the stress compo-nents of phonon fields are also related to material constants of the quasicrystal when the phonon fields and phason fields are coupled, which is another distinctive difference from the properties of classical elastic theory. Besides, the present work is generalization and application of the complex method in the classical elastic theory established by Muskhelishvili to 2D quasicrystal. As in the classical elastic theory, if only conformal transformation from the quasicrystal plane to unit circle isfound, any holey and crack problem in the quasicrystal plane could be solved.

CONVERGENCE OF THE POINT VORTEX METHODS FOR EULER EQUATION ON HALF PLANE

In this paper, we study the point vortex method for 2-D Euler equation of incompressible how on the half plane, and the explicit Euler's scheme is considered with the reflection method handling the boundary condition. Optimal error bounds for this fully discrete scheme are obtained.

Construction of point-line-plane （0-1-2 dimensional） Fe2O3-SnO2/graphene hybrids as the anodes with excellent lithium storage capability

The assembly of hybrid nanomaterials has opened up a new direction for the construction of high-performance anodes for lithium-ion batteries （LIBs）. In this work, we present a straightforward, eco-friendly, one-step hydrothermal protocol for the synthesis of a new type of Fe2OB-SnO2/graphene hybrid, in which zero-dimensional （0D） SnO2 nanoparticles with an average diameter of 8 nm and one-dimensional （1D） Fe203 nanorods with a length of -150 nm are homogeneously attached onto two-dimensional （2D） reduced graphene oxide nanosheets, generating a unique point-line-plane （0D-1D-2D） architecture. The achieved Fe203-SnO2/graphene exhibits a well-defined morphology, a uniform size, and good monodispersity. As anode materials for LIBs, the hybrids exhibit a remarkable reversible capacity of 1,530 mA·g^-1 at a current density of 100 ma·g^-1 after 200 cycles, as well as a high rate capability of 615 mAh·g^-1 at 2,000 mA·g^-1 Detailed characterizations reveal that the superior lithium-storage capacity and good cycle stability of the hybrids arise from their peculiar hybrid nanostructure and conductive graphene matrix, as well as the synergistic interaction among the components.

Correction of located points in a hyperbolical locating system with a short-baseline plane array

Here is reported an iteration method, which corrects the coordinates of an underwater moving target obtained by a hyperbolic locating system with a short-baseline plane array when the sound velocity varies with depth. A series of differential difference equations are used for determining the iterative values. The calculated results show that under the same conditions, the location error is about several meters or tens of meters without correction and less than 0.5 m with correction. The method can be applied to various types of arrays.

改进的3D-BoNet算法应用于点云实例分割与三维重建

为了更好地利用点云数据重建室内三维模型,本文提出了一种基于3D-BoNet-IAM算法的室内场景三维重建方法。该方法通过改进3D-BoNet算法提高点云数据的实例分割精度。针对点云数据缺失问题,提出了基于平面基元合并优化的拟合平面方法,利用拟合得到的新平面重建建筑表面模型。在S3DIS和ScanNet V2数据集上验证3D-BoNet算法的改进效果。试验结果表明,本文提出的3D-BoNet-IAM算法比原始算法分割精度提高了3.3%;对比本文建模效果与其他建模效果发现,本文方法的建模效果更准确。本文方法能够提高室内点云数据的实例分割精度,同时得到高质量的室内三维模型。

基于三维点云计算的CO_(2)-水-岩反应程度量化表征方法

CO_(2)地质封存是减少大气中CO_(2)排放,降低温室效应的重要途径,CO_(2)注入含水地层中时,CO_(2)-水-岩反应可能引起岩石矿物的侵蚀,对CO_(2)地质封存安全性产生显著影响。在室内实验中,通过表征岩石表面的形貌特征可以有效地评估CO_(2)-水-岩反应程度,为CO_(2)地质封存的安全性评估提供科学依据。通过三维点云计算可以精确量化地表征CO_(2)-水-岩反应程度,这种方法首先运用三维激光扫描技术,构建岩石表面的三维模型,确定CO_(2)-水处理前岩石表面三维模型的基准面,并基于处理前的均方根粗糙度确定处理后岩石表面三维模型的基准面。基于三维模型点云信息,提出了两种不同的体积计算新方法,并通过对规则模型体积的计算比较了两种计算方法的准确性与适用性,可根据实际情况选择两种计算方法量化表征CO_(2)-水处理前后岩石表面的侵蚀体积。最后,以陕西省咸阳市某煤矿煤样为例,开展了CO_(2)-水-岩反应模拟试验,验证了计算的可行性。试验结果表明:该文提出的侵蚀体积计算方法可有效地量化表征CO_(2)-水-岩反应程度,CO_(2)-水处理后岩石表面不同区域的侵蚀差异性明显,岩石表面的侵蚀体积与均方根粗糙度之间存在显著的正比关系,随着均方根粗糙度的增大,侵蚀体积也相应上升。

基于点云的航发叶片分割及打磨轨迹规划方法

针对航发叶片打磨过程中点云分割效果差和轨迹规划中曲面拟合所带来的计算量大的问题,提出了一种基于点云的航发叶片分割及打磨轨迹规划方法,旨在改善点云分割效果并降低计算量。通过结构光相机采集待打磨叶片点云,进行滤波等预处理,并对随机采样一致性(Random Sample Consensus,RANSAC)平面分割算法进行改进,提升算法效率。设计一种结合点云颜色信息的区域生长分割算法,实现叶片待打磨区域的稳定分割。提出一种直接基于点云的三重截面法,配合B样条曲线拟合算法生成预打磨轨迹,并基于等残高算法优化行距,完成打磨轨迹规划。经实验验证,平面分割算法相较于传统方法效率提升40.25%,数据处理效率大大提高。此外,通过改进的区域生长分割算法,叶片打磨轨迹规划效率得到明显提高,其实现效果显著增强。

镂空重构手法在服装设计中的创新应用

为了打破镂空工艺对材料、技术的使用界限,丰富其在服装设计中的创新应用,通过梳理服装中镂空构型的起源与发展,在镂空重构概念界定的基础上,结合已有案例归纳分析镂空重构的3类实现手法:连接点式镂空、重塑线式镂空以及剪切面式镂空。以连接点式镂空手法为例,进一步探究镂空重构手法在服装设计中的创新实践:一是镂空构型材料层面的创新,将环保理念融入服装设计,实现废弃物升级利用;二是造型表现技术层面的创新,结合立体塑形进行服装造型表现的拓展实践,并对镂空重构手法在服装设计领域的应用前景作了展望。

改进的区域生长算法在三维激光点云识别岩体结构面中的应用

交错分布的结构面构成了岩体中的薄弱部位,准确高效的岩体结构面识别和特征信息提取可为岩体稳定性评价提供重要依据。三维激光扫描技术可以极大地提高结构面勘测效率和精度,但目前主流的点云分析算法存在结构面边缘识别模糊、点云分割准确性不能满足结构面特征信息提取精度等问题。因此,考虑岩体结构面点云位置与其邻域的空间关系,利用KD-tree数据结构进行最邻近搜索的体素下采样,在稳健随机Hough变换的基础上改进了区域生长算法,通过多特征值对区域生长分割参数进行修正,依据点云法向量差值和特征终值进行结构面分割,实现了结构面产状、间距、延展度信息的提取。研究结果表明:与传统的主成分分析法和随机抽样一致法相比,在室内块体模型组成的24个结构面中,该方法在相同区域具有更高的识别率和准确率,既能在复杂变化的平面区域保证数据的完整识别,也能在平面的尖锐位置较好地分割边缘点云。利用该方法可以将24个结构面分为6组,并在识别数据中获取对应的结构面特征信息,与实际测量结果相比,角度信息误差约为1°,距离信息误差1cm以内。利用该方法在长江干流蟒蛇寨斜坡岩体中成功识别出3组结构面同时计算各组结构面间距与延展度信息,并采用赤平投影图分析不同结构面组对斜坡稳定性的影响。所提出的方法在室内模型及现场斜坡验证效果良好,可以为岩体结构面识别分割提供稳定且有效的技术支撑。

基于偏移补偿模型的大曲率复杂芯模编织牵引轨迹优化控制方法

针对大曲率复杂芯模编织过程中机器人示教困难、织物编织角不稳定等问题,提出一种基于偏移补偿模型的编织牵引轨迹优化控制方法。首先基于不稳定编织阶段收敛距离的变换,建立预成型编织点预测模型;其次对芯模进行离散化处理,调整每一段离散芯模的轴线垂直通过动态编织点平面,修正每段芯模编织进给长度,利用芯模变截面过程的不稳定编织阶段进行芯模姿态调整,同时调整不稳定阶段牵引速度以更快达到稳定编织状态。试验结果表明,该轨迹优化方法能有效避免大曲率复杂芯模预成型体的纱线堆积和编织角波动范围大的问题,能够提高预成型体编织质量。

基于小平面区域特征的文物碎片重组算法

针对非薄壁文物碎片重组复原过程中,因碎片边缘或断裂面磨损而导致拼接误差大的问题,提出了一种基于小平面区域特征的文物碎片拼接算法。首先根据区域增长分割把碎片的三维点云分割出许多小平面,建立以小平面作为拼接的特征区域,根据特征描述找到初始相似的小平面区域对,然后灵活应用几何约束+随机采样一致性(RANSAC)约束策略的方法,消除误匹配;最后通过4PCS(4-Points Congruent Sets)算法进行碎片的粗对齐,再根据迭代最近点算法(ICP)实现碎片的精确拼接。实验结果表明:小平面的特征描述简单,且有较强的稳健性,采用两级约束策略的方法较好的解决了误匹配问题,提高了磨损碎片拼接的成功率,同时有效减少渗透现象。

Symmetry of the Point Spectrum of Infinite Dimensional Hamiltonian Operators and Its Applications

This paper studies the symmetry, with respect to the real axis, of the point spectrum of the upper triangular infinite dimensional Hamiltonian operator H. Note that the point spectrum of H can be described as σp（H） = σp （A） U σp1 （-A＊）. Using the characteristic of the set σp1（-A＊）, we divide the point spectrum σp （d） of A into three disjoint parts. Then, a necessary and sufficient condition is obtained under which σp1（-A＊） and one part of σp（A） are symmetric with respect to the real axis each other. Based on this result, the symmetry of σp（H） is completely given. Moreover, the above result is applied to thin plates on elastic foundation, plane elasticity problems and harmonic equations.

基于投影光瞳分布的星地激光通信波前探测

为了解决星地自由空间光学通信系统中的提前角问题,采用了一种基于光强传输的新型波前探测技术——投影光瞳面分布(Projected Pupil Plane Pattern,PPPP),并通过实验室实验验证了该技术的可行性。PPPP基于TIE光强传输公式,根据不同传输距离下光强分布的变化反解出大气湍流引起的波前畸变。由于PPPP采用的是上行通信激光本身的后向瑞利散射,其测量的大气湍流方向与通信卫星方向一致,因此可以有效解决星地激光通信中的提前角问题。实验模拟了1 m口径的地基望远镜作为上行激光发射装置和后向散射光斑成像设备,通过等效高度分别为10 km和17 km的上行激光后向散射光斑图像来实现对10 km以下大气湍流的波前探测。实验采用的波前畸变模拟装置包括空间光调制器和透明塑料片,实验结果表明,对不同的波前畸变PPPP和通用的夏克-哈特曼波前探测器可以实现相似的波前重构,两者重构相位的残差约为初始相位的30%。