计算机模拟插值与逼近曲线教学

IF 0.5 Q4 EDUCATION & EDUCATIONAL RESEARCH
Norbert Annuš, Ondrej Takáč
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引用次数: 0

摘要

在教育过程中使用数字工具已成为理所当然的事情。在计算机科学课程中尤其如此。我们的研究评估了高等教育学生在计算机图形学各个学科领域的表现。计算机图形学及其教育是非常广泛的。如果学生不仅在理论上熟悉该领域及其程序,而且有机会尝试它们,那么更好地理解执行图形调整的算法就会容易得多。我们的目标是开发一个教学工具,让学生参加图形类学习和测试插值和近似曲线的可能性。在我们的研究中,我们专注于三种特定类型的曲线:Hermite曲线、bsamzier曲线和Coons曲线。为了通用,学生能够模拟n次情况下的曲线。在开发过程中,我们着重对描述曲线的数学公式进行建模,试图设计一个易于使用的教学工具。在这种情况下,教学工具是为此目的而设计的计算机软件。在我们的研究中,我们对一小群学生进行了定性调查。我们的研究是在对照组进行的。我们还对使用该软件的学生进行了访谈,以评估我们软件的优点和缺点。基于这些反馈,我们优化了我们的软件,并为未来的改进设定了方向。实际应用表明,该教育软件对学生的学习成果有积极的影响。本文描述了加工曲线的数学模型。然后显示应用程序的选项和图形结果。最后,我们想展示学生的测试结果和他们对教育软件的反馈。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
TEACHING OF INTERPOLATION AND APPROXIMATION CURVES THROUGH COMPUTER SIMULATION
The use of digital tools in the education process has become a matter of course. This is particularly true in computer science lessons. Our study assesses the performance of students in higher education within each subject area of computer graphics. Computer graphics and its education are very versatile. A better understanding of the algorithms that perform the graphical adjustments is much easier if the student is not only theoretically familiar with the field and its procedures but also has the opportunity to try them out. Our aim was to develop a teaching tool that would allow students attending a graphics class to learn about and test the possibilities of interpolation and approximation curves. In our study, we focused on three specific types of curves: the Hermite, Bézier and Coons curves. For universal use, students are able to simulate the curves concerned in nth-degree cases. In the development, we focused on modelling the mathematical formulas describing the curves trying to design an easy-to-use teaching tool. In this case, the teaching tool is a computer software designed for this purpose. In our research, we conducted qualitative surveys on small groups of students. Our study was conducted on control groups. We also conducted interviews with students using the software to assess the strengths and weaknesses of our software. Based on this feedback, we optimized our software and set the direction for future improvements. The practical application suggests that the educational software has a positive impact on students' learning outcomes. This paper describes the mathematical models describing the processed curves. It then presents the application's options and graphical results. Finally, we would like to present the results of the student testing and their feedback on the educational software.
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来源期刊
Information Technologies and Learning Tools
Information Technologies and Learning Tools EDUCATION & EDUCATIONAL RESEARCH-
自引率
50.00%
发文量
89
审稿时长
40 weeks
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