Description: XMathLib是一个通用的3D图形数学库。
其中包含两个部分：
XMathLib和XGeomLib。分别处理数学和几何运算。
数学部分包含向量、矩阵、四元数的运算。以及其它的运算。
几何部分包含Box Frustum AABB OBB Ray Line Line-Segment Plan Triangle等的运算。-XMathLib is a generic 3D graphics math. Which consists of two parts : XMathLib and XGeomLib. Separate processing mathematical and geometric computing. The math section includes vector, matrix, quaternion arithmetic. , And other arithmetic. Geometric part consists Box Frustum AABB OBB Ray Line Line-Segme nt Plan Triangle such arithmetic. Platform: |
Size: 26083 |
Author:dexter |
Hits:
Description: XMathLib是一个通用的3D图形数学库。
其中包含两个部分：
XMathLib和XGeomLib。分别处理数学和几何运算。
数学部分包含向量、矩阵、四元数的运算。以及其它的运算。
几何部分包含Box Frustum AABB OBB Ray Line Line-Segment Plan Triangle等的运算。-XMathLib is a generic 3D graphics math. Which consists of two parts : XMathLib and XGeomLib. Dealt with mathematical and geometric computation. Mathematics contains vector, matrix, quaternion arithmetic. , And other operations. Box contains geometric Frustum AABB OBB Ray Line Line-Segme nt Plan Triangle and other arithmetic. Platform: |
Size: 26099 |
Author:王硕 |
Hits:
Description: XMathLib是一个通用的3D图形数学库。
其中包含两个部分：
XMathLib和XGeomLib。分别处理数学和几何运算。
数学部分包含向量、矩阵、四元数的运算。以及其它的运算。
几何部分包含Box Frustum AABB OBB Ray Line Line-Segment Plan Triangle等的运算。-XMathLib is a generic 3D graphics math. Which consists of two parts : XMathLib and XGeomLib. Separate processing mathematical and geometric computing. The math section includes vector, matrix, quaternion arithmetic. , And other arithmetic. Geometric part consists Box Frustum AABB OBB Ray Line Line-Segme nt Plan Triangle such arithmetic. Platform: |
Size: 25600 |
Author:dexter |
Hits:
Description: XMathLib是一个通用的3D图形数学库。
其中包含两个部分：
XMathLib和XGeomLib。分别处理数学和几何运算。
数学部分包含向量、矩阵、四元数的运算。以及其它的运算。
几何部分包含Box Frustum AABB OBB Ray Line Line-Segment Plan Triangle等的运算。-XMathLib is a generic 3D graphics math. Which consists of two parts : XMathLib and XGeomLib. Dealt with mathematical and geometric computation. Mathematics contains vector, matrix, quaternion arithmetic. , And other operations. Box contains geometric Frustum AABB OBB Ray Line Line-Segme nt Plan Triangle and other arithmetic. Platform: |
Size: 25600 |
Author:王硕 |
Hits:
Description: 1.介绍了捷联惯性导航系统的基本工作原理，包括坐标系及其之间的关
系，讨论了欧拉角、四元数等几种经典的解算方法，和计算周期的划分等。
2.讨论了等效转动矢量法及其衍生的一系列修正算法和优化算法，并作
了精度分析和数字仿真，并对根据角增量提取角速率的方法进行了研究和验
证。
3.研究了划船运动下，速度解算的误差补偿方法。对利用对偶原理从圆
锥效应到划船效应的对应方法进行了讨论。
4.讨论了捷联式惯性导航系统的误差，对位置计算中的涡卷误差进行了
推证。
-1. Introduced a strapdown inertial navigation system of the basic working principles, including the coordinate system and the relationship between the discussion of the Euler angle, quaternion, such as solving several classical methods, and calculation of the division cycle and so on. 2. Discussed the rotation vector method and its equivalent derived from a series of correction algorithm and optimization algorithm, and made the accuracy of analysis and digital simulation, and in accordance with angle increment of angular velocity extraction methods have been studied and verified. 3. Study of the rowing movement, the speed of solving the error compensation method. The use of principle of duality effect from the cone corresponding to the row effect method is discussed. 4. Discussed the strapdown inertial navigation system error, the calculation of the location of the scroll push the card error. Platform: |
Size: 2340864 |
Author:yangjx |
Hits:
Description: 四元数的隆戈库塔法，利用隆戈库塔队四元数进行更新，可以从中提取出载体姿态信息-Quaternion Longo Kutta method, using Longo Coulthard team quaternion update, can be extracted from vector-profile information Platform: |
Size: 1024 |
Author:shangjiang |
Hits:
Description: 本源码实现了一个在3D编程中很重要的四元数的类。在写这个类前提还包括对三维空间中向量类，以及4*4矩阵的运算。四元数对于三维模型的旋转能够很好的计算。-The source to achieve a 3D programming in a very important class Quaternion. At the time of writing the premise of this class also includes three-dimensional vector space categories, as well as 4* 4 matrix arithmetic. Quaternion for the rotation of three-dimensional model can be well calculated. Platform: |
Size: 9216 |
Author:lilin |
Hits:
Description: 针对四元数矩阵正交特征矢量系求解困难的缺点, 本文提出一种获取四元数矩阵正交特征矢量集等效、便捷的方法,
其基本思路为: 首先, 构造四元数矩阵定义于复数域的导出阵, 并利用该导出阵特征矢量空间的一种特殊的等价空间间接获取
相应特征值所对应的特征矢量. 然后, 将复数矢量转换为四元数矢量, 按如此方式获取的对应所有特征值的非零特征矢量则构
成原始四元数矩阵的正交特征矢量系-For Quaternion orthogonal feature vector lines to solve the shortcomings of the difficulties, this paper proposes a quaternion matrix to obtain the orthogonal feature vector set equivalent, and convenient method, and its basic idea is: First of all, the structure definition of quaternion matrix in the complex field of the export array, and use the Export feature vector array space equivalent of a special space for indirect access to the corresponding eigenvalues of the corresponding feature vector. Then, the plural vector is converted to quaternion vector, according to such methods to obtain all the characteristics of the corresponding non-zero value of feature vector constituted the original quaternion matrix of the orthogonal feature vector lines Platform: |
Size: 494592 |
Author:tanghui |
Hits:
Description:
3D Space Coordinate Transformations
This folder contains 3 files (m-functions) :
- t2x.m Transformation Matrix to Generalized Position Vector.
- x2t.m Generalized Position Vector to Transformation Matrix.
- m2m.m Mass/Inertia Tensor transformation with coordinate change.
In the Generalized Position Vector the orientation can be expressed with:
- unit quaternion,
- Euler angles xyz (roll, pitch, and yaw),
- Euler angles zyz (rotation, precession, and mutation),
- unit vector and rotation angle,
- Denavitt-Hartemberg parameters.
Conversion between the above orientation systems can be easily achieved.
The three files work independently on each other, but since they work
on the same objects it is somewhat useful to keep them in the same folder. -
3D Space Coordinate Transformations
This folder contains 3 files (m-functions) :
- t2x.m Transformation Matrix to Generalized Position Vector.
- x2t.m Generalized Position Vector to Transformation Matrix.
- m2m.m Mass/Inertia Tensor transformation with coordinate change.
In the Generalized Position Vector the orientation can be expressed with:
- unit quaternion,
- Euler angles xyz (roll, pitch, and yaw),
- Euler angles zyz (rotation, precession, and mutation),
- unit vector and rotation angle,
- Denavitt-Hartemberg parameters.
Conversion between the above orientation systems can be easily achieved.
The three files work independently on each other, but since they work
on the same objects it is somewhat useful to keep them in the same folder.
Platform: |
Size: 6144 |
Author:kiyoung |
Hits:
Description: 四元数乘法、求逆、共轭、求范数函数，并附有求解矢量旋转坐标的程序例子-Quaternion multiplication, inverse, conjugate, seeking norm function, together with procedures for solving the example of vector rotating coordinate Platform: |
Size: 2048 |
Author:wbw |
Hits:
Description: 执行一个简单的C++四元类被称为“蹲”。根据Ken Shoemake的开创性论文普及，四元数代表了约一个轴旋转。“蹲”可以通过**=运营商连接在一起，并转换之间来回变换矩阵。实现还包括由Don Hatch的三维矢量宏库-Implementation of a simple C++ quaternion class called "Squat". Popularized by a seminal paper by Ken Shoemake, a quaternion represents a rotation about an axis. Squats can be concatenated together via the* and*= operators and converted back and forth between transformation matrices. Implementation also includes a wonderful 3D vector macro library by Don Hatch Platform: |
Size: 3072 |
Author:peter |
Hits:
Description: 一个简单的数学库，封装了矩阵运算、平面、四元数、二元向量、三元向量、四元向量、等，还有关于四元数运算的文章。-A simple math library, the package of matrix operations, plane, quaternion, binary vector, ternary vector quaternary vector, etc., as well as articles on the operation of the quaternion. Platform: |
Size: 173056 |
Author:赵文 |
Hits:
Description: 四元数的优势： 三维空间的旋转完全可以由4元数来胜任。传统意义上需要3×3矩阵来进行向量的旋转（4x4矩阵的第四列表示平移）。所以四元数更节省空间，运算速度更快。既然四元数能方便的表示3D旋转，那么对他们进行插值就能产生平滑的旋转效果。-Quaternion advantages: the rotation of three-dimensional space can count from $ 4 to do the job. Traditionally need 33 for vector rotation matrix (4x4 matrix fourth column represents the pan). So quaternion more space-saving, faster operation. Since quaternion can easily represent 3D rotation, then they will be able to produce a smooth interpolation rotation effect. Platform: |
Size: 413696 |
Author:王飞 |
Hits:
Search - quaternion vector