The role of unconstrained optimization in robotics is unquestionable. This blog simply records the derivation of the Gauss-Newton method in unconst...
The Taylor expansion of a function expands a nonlinear function at a certain point to obtain a polynomial that can approximate the original functio...
For high-dimensional Gaussian distribution $X\sim N(\mu,\Sigma)$,
In the field of robot localization, we typically use rotation and translation to represent the robot’s pose (position and orientation), which is ba...
Regarding the numerical solution of linear equations, there are four main cases for discussion. Finally, let’s analyze the error topic.
In engineering problems or scientific experiments, we sometimes face the following problem: we can only measure the function value or derivative va...
Define nonlinear the nonlinear equation, Discussing how to solve it, let’s see the following,
To study a subject and understand a field, it’s essential to explore its background and the issues it aims to address. In the case of numerical ana...
In the process of autonomous vehicle localization, road markings such as lane lines are frequently employed in schemes that match semantic informat...
Regarding the concept of vector space, Wikipedia explains it as follows:
A vector space is a special set formed by a group of mathematical fields ...
Lower-upper (LU) decomposition is a kind of matrix decomposition, which can decompose a matrix into the product of lower triangular matrix and uppe...
Linear algebra is a compulsory course for every engineering student, and recently, in the study of computer graphics and robotics, I was deeply imp...
In a certain Ubuntu desktop application project, a visual object detection module is required. This desktop application is implemented in C++ based...