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The content of Happy Cuber is based on the geometric learning theory, and 3D real-time rendering is used to provide the freely using of viewing angle control. Besides, the game factors such as competition, conflict and reward, are embeded in the courseware in order to arouse students' interest in studying.

教材内容的设计是以空间几何学习理论为基础，搭配三维即时描绘(3D real-time rendering)来提供视角自由操作，并融入数位游戏式学习的内涵来提高学童的学习兴趣。

The accelerated algorithm of volume rendering based on textures mapping and the wavelet-based multiresolution volume rendering in network are performed by using OpenGL 3D visualization technique. From the point of view of computer graphics, 3D visualization mechanism of volume rendering based on OpenGL textures mapping is studied, including modelview transformation, projection transformation, perspective division, viewport transformation and the ways to embed textures mapping and blending in above four transformations.

利用OpenGL三维可视化技术实现了本文所提出的基于纹理映射的体绘制加速算法和网络环境下基于小波的体数据的多分辨率体绘制，并从计算机图形学的角度，研究了基于OpenGL纹理映射技术的体绘制的三维可视化流程，包括OpenGL的模视变换、投影变换、透视除法、视区变换，以及纹理的定义、映射与融合等步骤在上述四个变换中的嵌入方法。

By different post-processing method, the reconstructed CTA data can provide many types of images, such as volume rendering technique, for the doctor to visualize the nidus from different angles.

利用不同的影像后处理技术，电脑断层影像在重组后可以显示各种不同的影像，如Volume Rendering Technique，提供临床医师以不同的方式来诊断病灶。

In this paper, by projecting onto right image plane the intermediate images composited from the images on successive slicing planes, while rendering the left image based on a series of parallel slicing planes [Yage96] , the computation of composition in rendering the right image can be reduced, and the efficiency of stereoscopic rendering can be improved.

为此，本文在采用基于一组平行切割平面的体绘制方法生成左视图的过程中[Yage96]，通过将连续若干层切割平面上的中间采样图像先进行合成，将合成后的结果再投影到右图像平面上，从而减少右视图生成过程中对图像合成的计算量，提高立体绘制效率。

In viewing of accelerating animation rendering technique, this paper includes three parts of the author's work. First, the paper summaries an accelerating rendering method using frame-to-frame coherence. The paper also introduces an accelerating algorithm of span scanline tracing animation rendering as one implementation of the method.

在加速动画绘制方面，本文从以下几个方面介绍了作者的工作：第一，对利用动画帧间相关性加速动画绘制的方法作了讨论，总结了一种基于帧相关性加速绘制算法模型，并以跨距扫描线跟踪算法为例介绍了模型的使用。

The lateness of the hour, rendering procrastinatory: the obscurity of the night, rendering invisible: the uncertainty of thoroughfares, rendering perilous: the necessity for repose, obviating movement: the proximity of an occupied bed, obviating research: the anticipation of warmth tempered with coolness, obviating desire and rendering desirable: the statue of Narcissus, sound without echo, desired desire.

621时间迟晏，使人犹豫拖延；夜间太黑，遮住视线；大街上不安定，充满危险；休息的需要，阻碍了行动；睡着人的床就近在咫尺，用不着去寻觅；对那被的冰凉缓解了的温暖的期待，排除了某种欲望，又挑起另一种欲望；纳希素斯的雕像，没有&回音&的音响，渴求的欲望。

The algorithm is applied in the segmentation of Magnetic Resonance Imaging of human brain for the 3D reconstruction on dependent of different human tissue structures, in which the problem on wraps between different tissues and fuzzy edges between the different regions in medical volume data may better be settled, which can not be well done by the typical"hard"segmentation using binary logical representation.(3) An accelerated algorithm of volume rendering with X-ray perspective and Phong shading effect based on textures mapping and blending is presented for realizing 3D reconstruction of medical volume data by 2D texture mapping and blending, in which the accelerated algorithm of window transformation is utilized to computing voxels' gray scales and opacities to produce X-ray perspective images, and Phone illumination model is used to import world light sources and an unit spherical surface under the same shading environment as the actual volume rendering is employed to simulate the real reflectional light of per-voxel so that 3D reconstruction possesses illumination effect in the world. Furthermore, 3D matrix transformations of degree rotation and other operations of 3D object are studied, and a fast equivalent method of corresponding shading correction is brought forward to improve its interaction speed in volume rendering process.

该方法利用体数据的窗口变换加速算法将医学体数据转换为计算机显示值，可以得到具有X光透视效果三维图像；该方法提出的Phong明暗处理加速算法利用Phong光照模型引入外部光源，使用一单位球面体来仿真体数据的法线矢量集所产生的反射光强，以快速得到每一个体素的反射光强度，使物体的三维重建达到现实世界中人眼直接观察的逼真效果；此外，还研究了三维重建物体的三维旋转等矩阵变换，提出了一种Phong明暗修正的快速算法来保证了体绘制中三维几何变换的多视角观察的交互速度。

Current dominant techniques about rendering and modeling are involved and implemented in this platform, including real time shadow, high dynamic range material, large-scale terrain rendering and management, GPU based particle system, swingable tree and the real time rendering of tens of millions of surfaces.

实时真实感图形生成是计算机科学技术的重要研究方向，目标是使得计算机可以产生与真实世界相同或高度近似的视觉环境，从而使用户获得身临其境的视觉感受[13]。

In this paper, we present a wave theory based rendering technique: light wave field rendering, by combining wave graphics, Fourier optics, computational holography and the existed image based rendering techniques. In light wave field rendering, a 3D wave field is represented by one or more wavefronts which are stored as 2D arrays of complex numbers.

本文结合波动图形学、计算全息学和傅立叶光学等研究领域的相关技术，将波动的概念引入光场绘制过程，根据定态光波场的解析特性，使用平面或封闭曲面波前上的二维复振幅分布，来表示无源空间中三维的光波场，提出了一种基于光波场的绘制技术，用于三维物体的视点无关绘制和立体真实再现。

Pointoctree data structure can filter invisible points before the timeconsuming process of rendering and can help to select different detail levels and rendering mode according to the view point position to control the complexity and speed of rendering.

点八叉树数据结构可在耗时大的绘制过程执行前预先进行不可见点的剔除，便于根据视点远近选择不同的细节层次和绘制策略，以便控制绘制的复杂度与速度。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。