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计算机图形学算法可视化教学研究与实现

Research and Realization of Algorithm Visualization Instruction on Computer Graphics

【作者】 阎双

【导师】 唐棣;

【作者基本信息】 辽宁师范大学 , 课程与教学论, 2007, 硕士

【摘要】 可视化是理解复杂现象和大规模数据的重要工具,在自然科学领域得到了广泛应用。自1986年可视化概念提出以来,可视化技术的研究已经取得了可喜的进展。目前,可视化教学已经引起教育界的关注。国外,许多研究者已经肯定了可视化在教学方面的作用和地位;国内,研究者也开始了在可视化教学方面的研究。本文在研究国内外关于可视化理论的基础上,深入探讨了当前引入可视化教学的意义,针对目前计算机图形学教学内容,确定了可视化教学内容及目标,开展了计算机图形学算法可视化教学的研究和实践。利用可视化编程工具VB 6.0对基本图元的生成、多边形填充、直线段裁剪、曲线生成及分形算法进行可视化设计与实现。同时给出了实现过程中发现的问题及解决方法。通过分析,认为采用可视化教学法,对于改变教师的教授方式,帮助学生理解计算机图形学算法有着积极的作用和影响。在教学过程中,学生通过观察、猜想、验证,提高了领悟、探索、发现和创造能力。此外,本文在可视化实现椭圆生成算法时,查阅相关文献资料,对已有的椭圆生成算法进行深入研究后,提出了一种双点生成椭圆弧的算法。与同类算法相比,该算法判别式构造简单,具有递推性,且只有整数加减和移位运算。比较结果表明,该算法比现有其他算法具有更快的执行速度。文中算法便于硬件实现。

【Abstract】 Visualization is an important tool to understand complicated phenomenons and the large-scale data. Since the concept was brought up in 1986, the research on visualization technology has already got gratifying progress. At present, visualization instruction has been attracted the eyes of researchers in education. At abroad, a lot of researchers have agreed with the role and position of visualization instruction. And at home, the researchers have also begun to study visualization instruction.Based on the study on the theory of visualization, this paper deeply discusses the significance of visualization instruction. Concerning with the content of computer graphics curriculum, the paper establishes the content and target for visualization instruction and carries out the research and realization on algorithm visualization instruction for computer graphics. This paper carries out visualization design and realization with VB6.0 for computer graphics algorithm. It includes generation of line, circle and curve, polygon filling, line clip and fractals. At the same time the paper gives the problems and solutions that in the process of realization. By analysis, the paper believes that adopting the method of visualization instruction will make great help to change the teaching way and help students understand the algorithm. It also arouse students’learning interests, strengthen students’learning motivation, improve the ability of comprehension, exploration, discovery and creativity.Besides, This paper presented a double-step ellipse drawing algorithm. Compared with other analogous algorithms, the discriminators of algorithm obey a simple recurrence formula which may be evaluated by only integer arithmetic and binary shifts. The comparision result shows that its speed is higher than the existing ellipse drawing algrithms. The algorithm is easy to be realized by hardware.

【关键词】 计算机图形学算法可视化教学
【Key words】 Computer graphicsAlgorithmVisualizationInstruction
  • 【分类号】G434
  • 【被引频次】5
  • 【下载频次】689
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