查询词典 affine coordinate

This method represents the virtual objects in Euclidean space instead of in affine space, which is consistent with the popular graphics rendering tools such as OpenGL and is more common in practice. A new classification based local and global tracking strategy to match features between the reference image and the currently frame directly is presented, which enables the augmented reality system working effectively even under large changes of viewing angles. A novel affine coordinate system definition method based on a collection of feature points is also proposed, which makes the tracking method effective even when not all the reference points are detected during the whole process, as long as there are at least four pairs of reference points correspondences.

该方法以仿射变换为桥梁来建立欧氏空间下的摄像机坐标系与世界坐标系之间的变换关系，它与OpenGL等当前流行的图形渲染工具一致，具有更强的通用性；采用基于分类的自然特征匹配策略，能够在视角和视点发生大幅度变化情况下依然正常工作；提出基于特征点集合的仿射坐标系定义方法，使增强现实系统在最小配置下只需4点追踪成功即可完成注册，比需要6点的透视投影方法具有更好的健壮性和精确性。

So it is not easy to turn this idea into reality. We creatively give our parameterization by using the expression of the blending surface in affine coordinate system ([9]) and the plane pencil together.

在仿射坐标系下，二次有轴曲面的表达式相对简单，我们基于厉玉容[9]给出仿射坐标系下拼接曲面的表达形式、不分块直接对混合拼接曲面进行参数化。

Furthermore we discussed the problem whether I1 ,12,13 are the invariant under affine coordinate transformation.

此外，我们讨论了，I1，I2，I3是否为仿射坐标变换下的不变量这一问题。。

We found that our proposed theorem is far better than the affine map in dealing the transformation problems of coordinate systems.

本研究发现用座标系统整合理论比Affine Map理论更能准确的处理座标的转换问题。

Using affine coordinate transformation,we simplifytogether the system and the curve.

我们得到了一批关于极限环存在性的便于应用的结果。

Firstly, some basic concepts about ECC are introduced;then the scalar multiplication under affine coordinate is discussed, we make a research and analysis of the side channel attack of scalar multiplication used in portable device, give out a new scalar multiplication algorithm which has the advantage of efficiency over other protected algorithm; and an improvement of the standard scalar multiplication algorithm proposed by IEEE1363 is made with the efficiency increasing by about 10%; at last, we deal with the using of complex multiplication in scalar multiplication algorithm, we generalize the methods and deduce a complete computing procedure, with proposing a new method which used several different fast endomorphism ,we give out an approach to boost the scalar multiplication with fast endomorphism.

本文首先介绍了椭圆曲线密码的有关基本概念；其次介绍了椭圆曲线上点的标量乘法在仿射坐标下的计算，对一般便携设备上的椭圆曲线点的标量乘法的边信道攻击做了研究与分析，给出了一种在效率上优于其它可抵抗边信道攻击的标量乘法的新算法，并对IEEE P1363 标准给出的标量乘法做了改进，使得标量乘法的运算效率提高了近10%；最后介绍了利用复乘计算标量乘法的方法，对已有的方法进行总结归纳，得出完整的计算过程，并针对两类超奇异椭圆曲线给出了一种利用多个可快速计算的复乘的标量乘法，得出一类普遍的结果，并给出了进一步用复乘加快标量乘法的思路。

By constructing local affine coordinate system , the geometric construction and properties of end vertices for rational cubic uniform B splines are studied.

给出了有理三次均匀 B样条曲线的几何形状修改法，使对该样条曲线的修改更加灵活、方便

With the assumption that electric field is constant within each element, the relationship of the degrees of freedom over each element is determined by introducing a local affine coordinate system.

在单元内部电场为常量场的假设下，使用局部仿射坐标架，确定出每个单元上自由度所服从的约束关系，由此导出对角化质量矩阵的公式。

The projecting directions of three affine pictures form affine coordinate system , and they also form a triangular pyramid at the same time.

用 3 个仿射图的投射方向构成 1 个仿射坐标系，同时也构成 1 个三棱锥，在此仿射坐标系中用球面三角重新研究由两个仿射图求第 3 个仿射图的投影作图理论——平行线束法。

The common image plane of three images after rectification is calculated under rectification constraints, and three-ranked matrices are then computed under undistorted image constraints. With this the image is resampled in planar affine coordinate to align images either in row or in column.

根据校正基本约束确定校正后的图像平面，利用图像不变形约束计算校正所需的三阶矩阵，用于在平面仿射坐标系下对图像进行重取样，使图像的行列对齐。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失