Using texture synthesis in fractal pattern design

INTRODUCTIONIn the last two decades, research on fractal ge-ometry has received much attention for its theoretical significance and practical applications. Pattern design based on fractal geometry is an important application area of fractal techniques in the textile industry (Wang, 2003). Computer aided pattern design involves the de-sign of textures and colors in the pattern. The source of textures is rich. All kinds of objects and scenery including man-made abstract objects can be used…     

工程图学教学模式之研究

教学模式是教学思想的反映.通过对教材、教师、学生、课堂结构等相关要素的分析,提出教与学的最优组合观点,提倡学生是学习的主体,教师的任务是导学.     

Using mobile devices to enhance the interactive learning for spatial geometry

The purpose of this research is to develop a hands-on spatial geometry learning system to facilitate the learning of geometry. The development of this system was based on Duval's four critical elements of geometric learning: perceptual apprehension, sequential apprehension, operative apprehension, and discursive apprehension. The system offers support to high school students in the process of spatial geometry problem-solving. It provides a hands-on approach for manipulating spatial figures, thereby developing the students' visualization skills and ability to conceptualize images. The experiment comprised a total of 58 participants from different classes with the experimental group using the proposed learning system, whereas the control group using the traditional pencil-and-paper approach. The study investigated the effects of the hands-on system on the perceptual, sequential, and operative apprehension, and on overall spatial geometry scores and learning attitude. The results indicated improvements on effective learning and a higher level of sequential, operative apprehension, and overall spatial geometry scores from the experimental group.     

Using tangrams to teach geometry to young children

Unlike a jigsaw puzzle where a piece must fit in only one way to complete a picture, the seven pieces of a geometric tangram can be arranged in many different ways to make figures of birds, animals, people, and objects. This article presents a Tangram Teaching Guide to provide a five-step developmental sequence for teaching tangramming to young children. Teaching resources are included, and a checklist provides a summary outline of the teaching sequence. Tangram experiences help children develop positive attitudes toward geometry, further their shape identification and classification skills, and foster and understanding of basic geometric concepts and relationships.     

探索分形学在城市规划设计方面的应用

分形学的主要研究对象就是看似不规则的图形,区域和城市规划的研究客体则是以人类进行社会活动的空间构成和综合发展,传统的量化工具处理这些纷繁复杂的现象与图形较为困难。而分形学恰好能够很容易的解决此类问题,因此,近些年,分析学在城市规划设计方面得到了广泛应用。     

烟酸分子的简正振动与拉曼光谱

利用量子化学软件计算得出了烟酸分子的平衡构形,基于这个构形,理论上计算出了烟酸分子的简正振动光谱,并与实验测得的结果进行了比较,最后对其简正振动模式进行了全面归属.     

Unwrapping and stereo rectification for omnidirectional images

Omnidirectional imaging sensors have been used in more and more applications when a very large field of view is required. In this paper, we investigate the unwrapping, epipolar geometry and stereo rectification issues for omnidirectional vision when the particular mirror model and the camera parameters are unknown in priori. First, the omnidirectional camera is calibrated under the Taylor model, and the parameters related to this model are obtained. In order to make the classical computer vision algorithms of conventional perspective cameras applicable, the ring omnidirectional image is unwrapped into two kinds of panoramas： cylinder and cuboid. Then the epipolar geometry of arbitrary camera configuration is analyzed and the essential matrix is deduced with its properties being indicated for ring images. After that, a simple stereo rectification method based on the essential matrix and the conformal mapping is proposed. Simulations and real data experimental results illustrate that our methods are effective for the omnidirectional camera under the constraint of a single view point.     

基于几何形状的AdaBoost人脸检测算法研究

介绍了AdaBoost人脸检测算法以及人脸符合的几何规则。考虑到使用AdaBoost人脸检测算法存在计算量比较大的问题,因此文中提出基于几何形状的AdaBoost人脸检测算法,改进了人脸检测分类器训练方法,降低了误检率,提高了人脸检测的计算速度。     

信息技术在立体几何教学中的应用探究

立体几何需要学生进行大量的空间想象,这给基础较差的学生带来了很大的困扰。而信息技术以其丰富的表现力和强大的交互功能,可以高效快速地向学生呈现动态图形,具有很高的教学价值以及应用意义。教师通过运用信息技术的方法教学立体几何,可以更加直观、立体以及动态化展示空间几何体,对开发学生空间思维以及几何思想具有重大意义。     

建立直角坐标系 巧解平面几何题

解析法在平面几何中的计算、论证、探究等方面的应用。