首页 四元数工具箱在matlab版

四元数工具箱在matlab版

上传者： hqiuyan | 上传时间： 2019-12-21 19:53:52 | 文件大小： 49KB | 文件类型： rar
四元数工具箱在MATLAB中的应用广泛，尤其在图像处理和三维旋转表示等领域具有显著的优势。四元数是一种扩展的复数形式，由四个实数组成，通常表示为\( q = w + xi + yj + zk \)，其中\( w \)、\( x \)、\( y \)和\( z \)是实数，而\( i \)、\( j \)和\( k \)是虚单位，满足关系\( i^2 = j^2 = k^2 = ijk = -1 \)。 该四元数工具箱可能包含了以下功能： 1. **四元数定义与运算**：工具箱通常会提供创建四元数的函数，例如`quatcreate`，用于根据给定的实部和虚部创建四元数。同时，还会包含加、减、乘、除等基本运算函数，如`quatadd`、`quatsub`、`quatmul`和`quatdiv`。 2. **四元数与向量旋转**：在3D空间中，四元数常用于表示旋转。工具箱可能提供了将四元数应用于向量旋转的函数，如`quatrotate`，它能将一个向量按照指定的四元数旋转。 3. **四元数与欧拉角、旋转矩阵转换**：四元数可以与欧拉角（如yaw、pitch、roll）或旋转矩阵互相转换。工具箱可能包括`quat2euler`和`euler2quat`，以及`quat2rotm`和`rotm2quat`这样的转换函数。 4. **四元数插值**：在动画和模拟中，平滑的旋转过渡需要用到四元数插值。工具箱可能包含`slerp`（球面线性插值）或`nlerp`（归一化线性插值）等函数。 5. **四元数逆与共轭**：工具箱通常提供计算四元数的逆（`quatinv`）和共轭（`quatconj`）的函数，这对于解决四元数反解问题和保持正交性至关重要。 6. **图像处理**：在彩色图像处理中，四元数可以用来表示颜色空间，如HSV或HSL。工具箱可能包含将RGB图像转换为四元数表示的函数，并提供对这些四元数图像进行操作的方法，如滤波、增强或分析。 7. **其他高级功能**：除了基础运算，工具箱可能还包括了四元数极分解、谱分析、最优化问题等高级功能，以支持更复杂的数学和工程应用。 在使用这个四元数工具箱时，用户应先了解四元数的基本概念，然后根据提供的函数文档学习如何应用到实际问题中。通过结合MATLAB的可视化功能，可以更直观地理解四元数在旋转和平移中的作用，从而在图形学、机器人学、信号处理等多个领域实现高效、精确的计算。

文件下载

资源详情

[{"title":"（ 95 个子文件 49KB ） 四元数工具箱在matlab版","children":[{"title":"quaternions","children":[{"title":"@octonion","children":[{"title":"octonion.m <span style='color:#111;'> 2.35KB </span>","children":null,"spread":false},{"title":"rotation.m <span style='color:#111;'> 246B </span>","children":null,"spread":false},{"title":"private","children":[{"title":"bitrev8.m <span style='color:#111;'> 370B </span>","children":null,"spread":false},{"title":"getname.m <span style='color:#111;'> 151B </span>","children":null,"spread":false},{"title":"appendsome.m <span style='color:#111;'> 615B </span>","children":null,"spread":false}],"spread":true},{"title":"char.m <span style='color:#111;'> 490B </span>","children":null,"spread":false},{"title":"scalar.m <span style='color:#111;'> 120B </span>","children":null,"spread":false},{"title":"uminus.m <span style='color:#111;'> 140B </span>","children":null,"spread":false},{"title":"mrdivide.m <span style='color:#111;'> 225B </span>","children":null,"spread":false},{"title":"simplify.m <span style='color:#111;'> 648B </span>","children":null,"spread":false},{"title":"double.m <span style='color:#111;'> 343B </span>","children":null,"spread":false},{"title":"plus.m <span style='color:#111;'> 205B </span>","children":null,"spread":false},{"title":"eq.m <span style='color:#111;'> 217B </span>","children":null,"spread":false},{"title":"mtimes.m <span style='color:#111;'> 269B </span>","children":null,"spread":false},{"title":"konj.m <span style='color:#111;'> 115B </span>","children":null,"spread":false}],"spread":false},{"title":"@sedenion","children":[{"title":"private","children":[{"title":"bitrev16.m <span style='color:#111;'> 701B </span>","children":null,"spread":false},{"title":"getname.m <span style='color:#111;'> 151B </span>","children":null,"spread":false},{"title":"appendsome.m <span style='color:#111;'> 615B </span>","children":null,"spread":false}],"spread":true},{"title":"char.m <span style='color:#111;'> 910B </span>","children":null,"spread":false},{"title":"scalar.m <span style='color:#111;'> 125B </span>","children":null,"spread":false},{"title":"uminus.m <span style='color:#111;'> 140B </span>","children":null,"spread":false},{"title":"mrdivide.m <span style='color:#111;'> 225B </span>","children":null,"spread":false},{"title":"simplify.m <span style='color:#111;'> 1.16KB </span>","children":null,"spread":false},{"title":"double.m <span style='color:#111;'> 671B </span>","children":null,"spread":false},{"title":"plus.m <span style='color:#111;'> 206B </span>","children":null,"spread":false},{"title":"eq.m <span style='color:#111;'> 217B </span>","children":null,"spread":false},{"title":"mtimes.m <span style='color:#111;'> 269B </span>","children":null,"spread":false},{"title":"sedenion.m <span style='color:#111;'> 4.17KB </span>","children":null,"spread":false},{"title":"konj.m <span style='color:#111;'> 115B </span>","children":null,"spread":false}],"spread":false},{"title":"Matlab Quaternion data class description.docx <span style='color:#111;'> 10.64KB </span>","children":null,"spread":false},{"title":"@quaternion","children":[{"title":"rotation.m <span style='color:#111;'> 246B </span>","children":null,"spread":false},{"title":"private","children":[{"title":"bitrev4.m <span style='color:#111;'> 247B </span>","children":null,"spread":false},{"title":"getname.m <span style='color:#111;'> 151B </span>","children":null,"spread":false},{"title":"appendsome.m <span style='color:#111;'> 615B </span>","children":null,"spread":false}],"spread":true},{"title":"char.m <span style='color:#111;'> 388B </span>","children":null,"spread":false},{"title":"scalar.m <span style='color:#111;'> 117B </span>","children":null,"spread":false},{"title":"uminus.m <span style='color:#111;'> 144B </span>","children":null,"spread":false},{"title":"mrdivide.m <span style='color:#111;'> 233B </span>","children":null,"spread":false},{"title":"simplify.m <span style='color:#111;'> 401B </span>","children":null,"spread":false},{"title":"double.m <span style='color:#111;'> 201B </span>","children":null,"spread":false},{"title":"plus.m <span style='color:#111;'> 213B </span>","children":null,"spread":false},{"title":"eq.m <span style='color:#111;'> 223B </span>","children":null,"spread":false},{"title":"mtimes.m <span style='color:#111;'> 281B </span>","children":null,"spread":false},{"title":"konj.m <span style='color:#111;'> 119B </span>","children":null,"spread":false},{"title":"quaternion.m <span style='color:#111;'> 2.44KB </span>","children":null,"spread":false}],"spread":false},{"title":"explain.txt <span style='color:#111;'> 1.13KB </span>","children":null,"spread":false},{"title":"test_driver","children":[{"title":"test_driver2_octonion.m <span style='color:#111;'> 21.59KB </span>","children":null,"spread":false},{"title":"test_driver2_quaternion.m <span style='color:#111;'> 17.99KB </span>","children":null,"spread":false},{"title":"test_driver2_sedenion.m <span style='color:#111;'> 26.25KB </span>","children":null,"spread":false},{"title":"complex_equivalent.m <span style='color:#111;'> 413B </span>","children":null,"spread":false},{"title":"test_driver2.m <span style='color:#111;'> 214B </span>","children":null,"spread":false},{"title":"should_be.m <span style='color:#111;'> 1.28KB </span>","children":null,"spread":false},{"title":"test_driver2_komplex.m <span style='color:#111;'> 8.07KB </span>","children":null,"spread":false}],"spread":true},{"title":"@komplex","children":[{"title":"rhs.m <span style='color:#111;'> 99B </span>","children":null,"spread":false},{"title":"norm.m <span style='color:#111;'> 162B </span>","children":null,"spread":false},{"title":"norm2.m <span style='color:#111;'> 167B </span>","children":null,"spread":false},{"title":"tanh.m <span style='color:#111;'> 137B </span>","children":null,"spread":false},{"title":"sin.m <span style='color:#111;'> 209B </span>","children":null,"spread":false},{"title":"cosh.m <span style='color:#111;'> 224B </span>","children":null,"spread":false},{"title":"uplus.m <span style='color:#111;'> 120B </span>","children":null,"spread":false},{"title":"atan.m <span style='color:#111;'> 172B </span>","children":null,"spread":false},{"title":"private","children":[{"title":"maybe_konj.m <span style='color:#111;'> 203B </span>","children":null,"spread":false},{"title":"getname.m <span style='color:#111;'> 151B </span>","children":null,"spread":false},{"title":"appendsome.m <span style='color:#111;'> 615B </span>","children":null,"spread":false}],"spread":true},{"title":"sinh.m <span style='color:#111;'> 223B </span>","children":null,"spread":false},{"title":"log.m <span style='color:#111;'> 252B </span>","children":null,"spread":false},{"title":"char.m <span style='color:#111;'> 278B </span>","children":null,"spread":false},{"title":"ctranspose.m <span style='color:#111;'> 168B </span>","children":null,"spread":false},{"title":"lhs.m <span style='color:#111;'> 98B </span>","children":null,"spread":false},{"title":"times.m <span style='color:#111;'> 156B </span>","children":null,"spread":false},{"title":"inverse.m <span style='color:#111;'> 116B </span>","children":null,"spread":false},{"title":"scalar.m <span style='color:#111;'> 105B </span>","children":null,"spread":false},{"title":"komplex.m <span style='color:#111;'> 1.07KB </span>","children":null,"spread":false},{"title":"tan.m <span style='color:#111;'> 122B </span>","children":null,"spread":false},{"title":"display.m <span style='color:#111;'> 324B </span>","children":null,"spread":false},{"title":"cos.m <span style='color:#111;'> 211B </span>","children":null,"spread":false},{"title":"exp.m <span style='color:#111;'> 209B </span>","children":null,"spread":false},{"title":"acosh.m <span style='color:#111;'> 155B </span>","children":null,"spread":false},{"title":"uminus.m <span style='color:#111;'> 145B </span>","children":null,"spread":false},{"title":"sgn.m <span style='color:#111;'> 241B </span>","children":null,"spread":false},{"title":"sqrt.m <span style='color:#111;'> 98B </span>","children":null,"spread":false},{"title":"mrdivide.m <span style='color:#111;'> 196B </span>","children":null,"spread":false},{"title":"atanh.m <span style='color:#111;'> 152B </span>","children":null,"spread":false},{"title":"asinh.m <span style='color:#111;'> 153B </span>","children":null,"spread":false},{"title":"sign.m <span style='color:#111;'> 159B </span>","children":null,"spread":false},{"title":"asin.m <span style='color:#111;'> 169B </span>","children":null,"spread":false},{"title":"acos.m <span style='color:#111;'> 165B </span>","children":null,"spread":false},{"title":"double.m <span style='color:#111;'> 115B </span>","children":null,"spread":false},{"title":"plus.m <span style='color:#111;'> 339B </span>","children":null,"spread":false},{"title":"sum.m <span style='color:#111;'> 105B </span>","children":null,"spread":false},{"title":"minus.m <span style='color:#111;'> 113B </span>","children":null,"spread":false},{"title":"mpower.m <span style='color:#111;'> 123B </span>","children":null,"spread":false},{"title":"eq.m <span style='color:#111;'> 196B </span>","children":null,"spread":false},{"title":"mtimes.m <span style='color:#111;'> 769B </span>","children":null,"spread":false},{"title":"konj.m <span style='color:#111;'> 125B </span>","children":null,"spread":false}],"spread":false}],"spread":true}],"spread":true}]

评论信息

  • liujianye_A301 :
    有人知道怎么用吗？打开一跑程序就报错呀
    2019-05-30
  • MinggangLuo :
    正要用到，非常好，谢谢啦
    2015-04-21
  • yinzhi1221 :
    很好，对于三维的复平面类似起到很好的科研帮助。
    2015-01-18
  • pingoneping :
    不错，处理四元数很方便
    2014-09-24
  • lf_nit :
    真不错，谢谢，好用
    2014-07-08

其他资源

免责申明

【只为小站】的资源来自网友分享，仅供学习研究，请务必在下载后24小时内给予删除，不得用于其他任何用途，否则后果自负。基于互联网的特殊性，【只为小站】 无法对用户传输的作品、信息、内容的权属或合法性、合规性、真实性、科学性、完整权、有效性等进行实质审查；无论 【只为小站】 经营者是否已进行审查，用户均应自行承担因其传输的作品、信息、内容而可能或已经产生的侵权或权属纠纷等法律责任。
本站所有资源不代表本站的观点或立场，基于网友分享，根据中国法律《信息网络传播权保护条例》第二十二条之规定，若资源存在侵权或相关问题请联系本站客服人员，zhiweidada#qq.com，请把#换成@，本站将给予最大的支持与配合，做到及时反馈和处理。关于更多版权及免责申明参见 版权及免责申明

个人信息

下载历史

相关资源标签

热门下载

最新下载