3D Stereo spatial phase diagram for a typical complex ternary system

Jinwu Kang
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引用次数: 1

Abstract

Phase diagrams describing phases under varying composition, temperature and pressure are considered as the road maps for metals and alloys, minerals and ceramics. They are usually of very complicated spatial geometry, hard for understanding. Wireframe phase diagram models have been always used in teaching and scientific research since 1950’s.1 As information technology appeared, computer aided drawing of phase diagrams came to be popular.2–9 Some commercial phase diagram software were developed, such as Panda T, Thermo calc, Fact Sage, etc. However, the display of 3D phase diagram on monitor or paper is actually a faked 3D stereo display. They are 3D shapes, but they can be only watched as 2D images, 3D effects are realized by perspective view, or by rotation and slicing of the models. It is hard to tell the special relationships of curves, surfaces and solid regions of the three dimensional phase diagrams printed in books. Tamas and Pal realized 3D stereo effect of phase diagrams by anaglyph method as early as 1970.10 But, all the figures were the combinations of only red and cyan lines and curves by hand drawing. Thus, it was impossible to realize plane shading, transparency effect, color pictures and movies. Kang et al. managed to improve the illustration of complex phase diagrams, such as wireframe phase diagrams, computer aided models and introduced 3D stereo visualization into phase diagram and modeling and simulation and published an album about simulated results of castings in which the stereo effect can be achieved by the aid of red-cyan glasses.11–13 In this paper, with the adoption of 3D stereoscopic visualization technology, significant 3D stereo effect of a typical complex phase diagram was realized.
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典型复杂三元体系的三维立体空间相图
描述在不同组成、温度和压力下的相的相图被认为是金属和合金、矿物和陶瓷的路线图。它们通常是非常复杂的空间几何,很难理解。自20世纪50年代以来,线框相图模型一直用于教学和科学研究随着信息技术的出现,计算机辅助绘制相图开始流行起来。2-9开发了一些商业相图软件,如Panda T、Thermo calc、Fact Sage等。然而,在显示器或纸张上显示的三维相位图实际上是一种伪造的三维立体显示。它们是3D形状,但只能作为2D图像观看,3D效果是通过透视或模型的旋转和切片来实现的。在书本上印刷的三维相图中,曲线、曲面和实体区域之间的特殊关系是很难分辨出来的。Tamas和Pal早在1970年就用浮雕法实现了相图的三维立体效果,但所有的图形都是手工绘制的红色和青色线条和曲线的组合。因此,不可能实现平面阴影,透明效果,彩色图片和电影。Kang等人改进了线框相图、计算机辅助模型等复杂相图的说明,将三维立体可视化引入相图和建模仿真中,并出版了一本关于铸件模拟结果的画册,借助红青色眼镜实现了立体效果。11-13本文采用三维立体可视化技术,实现了典型复杂相图的显著三维立体效果。
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