Mathematical model of the identical slope surface

The formation of the identical slope surface and the method of construction are discussed. On the basement of building the parameter equation of variable-radius circle family envelope, the frequently used parameter equation of the identical slope surface of the top of taper moving along column helix, horizental arc and line is built. The equation can be used to construct the identical slope surface’s contours, gradient lines and three dimensional figures correctly. Biography: Hu Jian-guo(1953-), male, Professor, research direction: CG and CAD.     

冶金矿山大比例尺地形图精度的探讨

本文对冶金矿山的不同开发阶段所需要的大比例尺地形图的使用情况、精度标准和检验方法进行了分析。该分析结论对冶金矿山大比例尺地形测图有一定的指导意义。     

图象轮廓间插值的一种矢量计算方法

在计算机图象处理和图形学中、图象轮廓间的插值经常应用于三维图形综合,三维图形的逼真显示等方面。本文介绍一种轮廓间插值的方法——动态弹性插值法。该方法给轮廓间加以力的作用,使一个轮廓逐渐向另一轮廓逼近,从而完成插值。文中给出了插值的实验结果。     

Unsupervised MRI segmentation of brain tissues using a local linear model and level set

Real-world magnetic resonance imaging of the brain is affected by intensity nonuniformity (INU) phenomena which makes it difficult to fully automate the segmentation process. This difficult task is accomplished in this work by using a new method with two original features: (1) each brain tissue class is locally modeled using a local linear region representative, which allows us to account for the INU in an implicit way and to more accurately position the region's boundaries; and (2) the region models are embedded in the level set framework, so that the spatial coherence of the segmentation can be controlled in a natural way. Our new method has been tested on the ground-truthed Internet Brain Segmentation Repository (IBSR) database and gave promising results, with Tanimoto indexes ranging from 0.61 to 0.79 for the classification of the white matter and from 0.72 to 0.84 for the gray matter. To our knowledge, this is the first time a region-based level set model has been used to perform the segmentation of real-world MRI brain scans with convincing results.     

A joint shape evolution approach to medical image segmentation using expectation-maximization algorithm

This study proposes an expectation–maximization (EM)-based curve evolution algorithm for segmentation of magnetic resonance brain images. In the proposed algorithm, the evolution curve is constrained not only by a shape-based statistical model but also by a hidden variable model from image observation. The hidden variable model herein is defined by the local voxel labeling, which is unknown and estimated by the expected likelihood function derived from the image data and prior anatomical knowledge. In the M-step, the shapes of the structures are estimated jointly by encoding the hidden variable model and the statistical prior model obtained from the training stage. In the E-step, the expected observation likelihood and the prior distribution of the hidden variables are estimated. In experiments, the proposed automatic segmentation algorithm is applied to multiple gray nuclei structures such as caudate, putamens and thalamus of three-dimensional magnetic resonance imaging in volunteers and patients. As for the robustness and accuracy of the segmentation algorithm, the results of the proposed EM-joint shape-based algorithm outperformed those obtained using the statistical shape model-based techniques in the same framework and a current state-of-the-art region competition level set method.     

凹壁不稳定性流动的数值计算

凹壁结构在工业应用的多个领域中都是很常见的,由于离心力不稳定性,流体流过凹壁面附近时可能会产生G?rtler涡。为了研究这些涡的特性及对流场产生的影响,采用CFD技术对曲率半径为2 m的弯曲渠道的流动过程进行数值模拟。用有限体积法对模型进行空间离散,采用大涡模拟中Smagorinsky-Lilly模型进行计算。通过与实验结果进行对比发现,计算结果能较准确的反应G?rtler涡随流动的发展过程。在此基础上进行的分析表明:在速度3 m/s,湍流度0.35%的进口条件下,沿流向流过一段距离后,在靠近凹壁的边界层中产生了G?rtler涡;涡轴平行于流动方向并且相邻涡轴之间的距离保持不变;随着涡在展向和法向空间的增长,速度等值线出现"蘑菇状"结构;靠近出口位置"蘑菇状"结构破裂,流动发生转捩。     

The low-temperature phase of Kac-Ising models

We analyze the low-temperature phase of ferromagnetic Kax-Ising models in dimensionsd2. We show that if the range of interactions is ^–1, then two disjoint translation-invariant Gibbs states exist if the inverse temperature satisfies –1^N, where =d(1–)/(2d+2)(d+1), for any >0. The proof involves the blocking procedure usual for Kac models and also a contour representation for the resulting long-range (almost) continuous-spin system which is suitable for the use of a variant of the Peierls argument.     

快速有效的全局和局部能量驱动的活动轮廓模型

由全局和局部拟合能量驱动的活动轮廓模型(LGIF模型)对活动轮廓的初始化和噪声不敏感,且能够分割灰度不均匀图像;但是该模型的演化方程在每次迭代中需要进行多次高斯卷积,使得分割速度非常慢;基于这一缺点提出了一个新的模型;实验表明:该模型不仅能够分割灰度不均匀图像,而且分割效率优于LGIF模型。     

推力矢量燃气舵三维气-固两相流的数值分析

该文采用高雷诺数下的RNGκ-ε湍流模型和欧拉-拉格朗日两相流模型,分析了推力矢量发动机燃气舵气-固两相绕流流动,模拟了燃气舵表面的温度、压力等参数的分布,得到了燃气舵升力和阻力随舵偏角的变化曲线。将模拟结果与纯气相状态下燃气舵的数值仿真结果进行比较,结果表明：与纯气相相比,当舵偏角小于25°时,含固体颗粒的两相流的升力增大,阻力没有变化;舵偏角大于25°时,两相流的升力和阻力均小于纯气相流。研究还表明,颗粒的加入对燃气舵表面的压力场影响不大,但对温度场影响较大,造成燃气舵整体温度升高。     

非均匀有理B样条自由曲面的光顺检测

提出了一种针对非均匀有理Ｂ样条（ＮＵＲＢＳ）自由曲面的高斯曲率等值线的光顺检测方法,重点解决绘制高斯曲率等值线出现的极值点的重复搜索问题,并将改进的Ｂｕｌｉｒｓｃｈ－Ｓｔｏｅｒ等值线搜索法用于极值搜索中,提高了搜索效率。