Designing Bézier surfaces minimizing the L2-norm of the Gaussian curvature

In freeform surface modelling, developable surfaces have much application value. But, in 3D space, there is not always a regular developable surface which interpolates the given boundary of an arbitrary piecewise smooth closed curve. In this paper, tensor product Bézier surfaces interpolating the closed curves are determined and the resulting surface is a minimum of the functional defined by the L2-integral norm of the Gaussian curvature. The Gaussian curvature of the surfaces is minimized by the method of solving nonlinear optimization problems. An improved approach trust-region form method is proposed. A simple application example is also given.     

汉语短语研究的新视界--读熊文华新著《短语别裁》

熊文华先生近著《短语别裁》(民族出版社,2003年,下称《别裁》)是近年来学界短语研究的一部力作,熊著通过对大量语料细致的观察分析,不但比较成功的解决了汉语短语研究中的一系列问题,更重要的是,用“三个平面”的语法理论为短语研究开启了一扇新的视窗,使我们看到了一个新的多维度的视界。     

Designing Bézier surfaces minimizing the L2-norm of the Gaussian curvature

In freeform surface modelling, developable surfaces have much application value. But, in 3D space, there is not always a regular developable surface which interpolates the given boundary of an arbitrary piecewise smooth closed curve. In this paper, tensor product Bézier surfaces interpolating the closed curves are determined and the resulting surface is a minimum of the functional defined by the L2-integral norm of the Gaussian curvature. The Gaussian curvature of the surfaces is minimized by the method of solving nonlinear optimization problems. An improved approach trust-region form method is proposed. A simple application example is also given.     

Similarity-based denoising of point-sampled surfaces

A non-local denoising （NLD） algorithm for point-sampled surfaces （PSSs） is presented based on similarities, including geometry intensity and features of sample points. By using the trilateral filtering operator, the differential signal of each sample point is determined and called ＂geometry intensity＂. Based on covariance analysis, a regular grid of geometry intensity of a sample point is constructed, and the geometry-intensity similarity of two points is measured according to their grids. Based on mean shift clustering, the PSSs are clustered in terms of the local geometry-features similarity. The smoothed geometry intensity, i.e., offset distance, of the sample point is estimated according to the two similarities. Using the resulting intensity, the noise component from PSSs is finally removed by adjusting the position of each sample point along its own normal direction. Experimental results demonstrate that the algorithm is robust and can produce a more accurate denoising result while having better feature preservation.     

Loop细分曲面的精加工刀路生成方法研究

以Loop细分曲面为例,根据细分曲面的网格迭代特性,讨论了细分曲面的精加工刀具轨迹生成方法,对精加工时使用球头刀和刀具接触位置的偏移来生成刀具轨迹位置.在刀具轨迹生成过程中提出一种Z-map空间网格点存储技术,同时为了提高加工质量提出干涉检查和修正方法,并进行了实例验证.结果表明该类型刀具轨迹生成方法对于网格曲面的加工是可行、有效的.     

三维Minkowski空间中平均率为零的型如af(x) bg(y) h(z)=0类空曲面

讨论三维Minkowski空间L3={R3:dx2 dy2 -dz2 }中型如af(x) bg(y) h(z) =0极大类空曲面 ,得到该曲面的反函数形式     

Monitoring and Mitigating Particulate Matter Deposition on Decorative Surfaces: Current and Future Approaches in the Palace of Westminster

ABSTRACT

Research into dust deposition rates on the wall paintings in the State Apartments at the Palace of Westminster, London, UK, began during the restoration of the encaustic floor tiles. The study has broadened to inform day-to-day preventive care for the extensive fine art collections on display and the intricately decorated Gothic interiors, providing a powerful tool for the forthcoming restoration and renewal of the Palace. Different monitoring methods, using optical microscopy, macro-photography and software-based image analysis, were investigated. Qualitative analysis with SEM-EDX and optical microscopy allowed the identification of a number of anthropogenic, geogenic and biological sources of particulate matter, while quantitative results elucidated deposition trends, highlighting both seasonal and works-related impacts. Results indicated that mitigation measures taken to protect works of art and limit the diffusion and deposition of particulate matter on surrounding surfaces were successful. A new dust monitoring method, based on imaging of vertical surfaces and on a recently developed image analysis workflow (CHIJ) operated in open-source software (ImageJ) was trialled alongside more traditional methods for measuring dust deposition through collection of particulate matter on proxies. Results showed significant discrepancies between data acquired directly on wall painting surfaces as compared to horizontal glass slides. The advantages, limitations and complementarity of both monitoring methods were identified, and their potential contributions to the development of data-driven conservation approaches for heritage sites were assessed. The relatively low-tech methods and equipment used present useful and adapted tools for collection managers and conservators to inform their decision-making processes.     

Tool selection and collision-free in 5-axis numerical control machining of free-form surfaces

The methodology of 5-axis cutter selection to avert collision for free-form surface machining by flat-end cutters is presented.The combination of different cutters is adopt aiming at short machining time and high precision.The optimal small cutter is determined based on the geometric information of the points where a cutter most probably collide with the machined surface.Several larger cutters are slected to machine the surface in order to find the interference-free area.The difference of machining time for this area between the optimal small cutter and the large cutters is calculated.The functional relationship between the machining time and the radius of a cutter is established,by which the optimal number of cutters is obtained.The combination of cutters,which possesses the minimum overall machining time,is selected as the optimal cutter sizes.A case study has demonstrated the validity of the proposed methodology and algorithms.     

细分表面处理函数初探

本文分析了3DSMAX中常用的细分表面处理函数。这些函数包括以下功能:当前项点的锐化特性、用指定名称定义细分表面、为当前表面定义皱褶边、改变细分表面默认的近似表面、为当前表面定义一条修建边等。本文分析了这些函数的常用参数,阐述了各个函数的应用方法,对那些三维建模编程工作者有所帮助。     

157Tm原子核三轴超形变的研究

根据TRS理论计算了^157Tm核的位能面，并预言了其三轴超形变的存在,计算的结果与文献上的结果符合得较好。