Smoothing Normal Vectors on Discrete Surfaces While Preserving Slope Discontinuities

A new method is proposed which smoothes normal vectors over a discrete surface, preserving slope discontinuities and small details. Assume an estimate of the normal vector at each surface point is known and these estimates are computed from small neighbourhoods such that slope discontinuities and small details are still reflected by these normals. To smooth these normals, the normal vectors at points in a certain neighbourhood are averaged. The size of the neighbourhood considered for the smoothing at a point is adapted according the local surface configuration. The adaptation is performed, depending on the tangent plane at the point considered as well as the angles between the normals at neighbouring points and the normal at the point in question.     

Constructions of fuzzy functions based on fuzzy equalities

 The strong (perfect) fuzzy function have been applied to approximate reasoning and vague algebra in the literature of fuzzy sets. The construction of strong (perfect) fuzzy functions possesses an important role for their applications. In the presented paper, some of the results on the construction of strong (perfect) fuzzy functions are improved, and several new and desirable results in this direction are obtained. Furthermore, it is also shown that how these results can be used to point out the connections between fuzzy functions in the classical sense and the strong (perfect) fuzzy functions.     

基于相平面轨迹特征的规则自调整模糊控制方法

通过对模糊控制系统相平面响应轨迹特性的分析, 提出了相平面响应轨迹实时特征向量和实时特征向量夹角的概念; 在分析实时特征向量夹角特性的基础上, 提出基于相平面响应轨迹特征的规则自调整模糊控制方法; 仿真结果表明, 该方法可以减小模糊控制系统的超调和过渡过程, 提高系统的收敛速度.     

Orthogonal Fuzzy Rule-Based Systems: Selection of Optimum Rules

In this paper, the concept of orthogonal fuzzy rule-based systems is introduced. Orthogonal rules are an extension to the definition of orthogonal vectors when the vectors are vectors of membership functions in the antecedent part of rules. The number and combination of rules in a fuzzy rule-based system will be optimised by applying orthogonal rules. The number of rules, and subsequently the complexity of the fuzzy rule-based systems, are directly associated with the number of input variables and distinguishable membership functions for each individual input variable. A subset of rules can be used if it is known which subset provides closer behaviour to the case when all rules are used. Orthogonal fuzzy rule-based systems are proposed as a judgment as to whether the optimal rules are selected. The application of orthogonal fuzzy rules becomes essential when fuzzy rule-based systems containing many inputs are used. An illustrative example is presented to create a model for the solder paste printing stage of surface mount tech-nology.     

模糊BCK-代数及其模糊左(右)简理想

将Dib的模糊空间和模糊二元运算的概念引入BCK-代数中,给出了研究模糊BCK-代数的一个新方法。提出了模糊子代数、模糊左(右)简理想和模糊同态的概念,初步建立了新的模糊BCK-代数理论。结果表明,经典的 BCK-代数之模糊子代数、模糊左右简理想都是新理论的特例,因而这种新方法提供了发展模糊BCK-代数理论的一个有力工具。     

Interval analysis using least squares support vector fuzzy regression

A least squares support vector fuzzy regression model(LS-SVFR) is proposed to estimate uncertain and imprecise data by applying the fuzzy set principle to weight vectors.This model only requires a set of linear equations to obtain the weight vector and the bias term,which is different from the solution of a complicated quadratic programming problem in existing support vector fuzzy regression models.Besides,the proposed LS-SVFR is a model-free method in which the underlying model function doesn’t need to be predefined.Numerical examples and fault detection application are applied to demonstrate the effectiveness and applicability of the proposed model.     

适应物体形状的虚拟手抓取

目的 虚拟手抓取是虚拟交互中的核心技术之一,直接影响沉浸感。已有的虚拟手抓取规则基于接触点法矢夹角和接触点与体心连线的夹角,但在部分形状上不能正确抓取。为此提出一种适应物体形状的抓取规则。方法 针对长方体、球、圆柱这些构成物体的基本几何体,利用形状特征和手指抓握的接触关系制定抓取规则：1）长方体的规则是至少有3个不共线的接触点,并且一对接触点法矢夹角超过90°;2）球的规则要对接触点和球心的空间关系进行计算;3）圆柱的规则根据接触点是否在曲面上,使用长方体规则,或是仿照球的规则判断。对于需要使用多个几何体描述外形的复杂物体,先按照这3种基本几何体分解、单独计算,然后筛选出其中不稳定状态的几何体,把整体的接触点位置、法矢信息集中在这些不稳定状态几何体上,用单一几何体的抓取规则计算整体的抓取。同时加入力矩平衡可能性的计算,抓取规则和力矩平衡二者都满足才判定抓取成功,进一步减少了错误判断的发生。结果 使用unity3d构建虚拟场景,并用neuron的数据手套采集人体、手指数据,进行虚拟交互的仿真。该方法可以正确处理类似水杯这样的多几何体组合物体的抓取判断。结论 本文提出了基于物体形状的抓取规则,和用简单基本形状分解复杂物体的计算方法,准确计算抓取,符合直观感受。     

Labeled point pattern matching by fuzzy relaxation

A method of matching labeled point patterns is described on the basis of a fuzzy relaxation. The method is applicable to labeled point patterns which differ by geometrical transformations, such as translation, rotation and scale change. In this method, the point pairs are considered to be the pattern primitives. The pattern primitives are geometrically transformed in the process of relaxation so as to minimize a measure of mismatch between the primitive pairs. The compatible primitive pairs between the two labeled point patterns are established after only a few iterations of relaxation and the corresponding points are obtained from the primitive pairs. As an example, the method is applied to the matching of constellations.     

一种新的模糊神经元网络学习方法

提出了一种模糊神经元网络的学习算法即利用多 层多层模糊IF/THEN规则表达专家知识的神经网络学习方法，在以此构造的基于多源信息融合的分类系统中，采用了多层模糊IF/THEN规则进行分类。为了处理模糊语言值，提出了一种能够控制模糊输入矢量的神经网络体系结构。该方法能够对非线性实间隔矢量和模糊矢量进行分类，工程实验表明，此学习算法是切实可行的。     

Confluence and termination of fuzzy relations

Confluence and termination are essential properties connected to the idea of rewriting and substituting which appear in abstract rewriting systems. The aim of the present paper is to investigate confluence, termination, and related properties from the point of view of fuzzy logic leaving the ordinary notions a particular case when the underlying structure of truth degrees is two-valued Boolean algebra. The main motivation of this study is the fact that in several natural situations, the notion of substitutability is inherently fuzzy rather than crisp.