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Everything about Quaternion estimator algorithm
Algorithm to solve Wahba's problem
The quaternion estimator algorithm (QUEST) is an algorithm designed to solve Wahba's problem, that consists of finding a rotation matrix between two coordinate systems from two sets of observations sampled in each system respectively. The key idea behind the algorithm is to find an expression of the loss function for the Wahba's problem as a quadratic form, using the Cayley–Hamilton theorem and the Newton–Raphson method to efficiently solve the eigenvalue problem and construct a numerically stable representation of the solution. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Quaternion estimator algorithmA 5-minute orientation
- Skim a recent paper: Attitude estimation of aircraft based on quaternion SRCKF-SLAM algorithmInfluential work since 2022
- Pick up a classic book: Information computing and applicationsThe most-reprinted book on the subject
- Read the landmark paper: A New Quaternion-Based Kalman Filter for Human Body Motion Tracking Using the Second Estimator of the Optimal Quaternion Algorithm and the Joint Angle Constraint Method with Inertial and Magnetic SensorsCited 25 times
- Go sideways: Rotation formulations in three dimensionsA closely related topic
- Go sideways: Triad methodA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
A New Quaternion-Based Kalman Filter for Human Body Motion Tracking Using the Second Estimator of the Optimal Quaternion Algorithm and the Joint Angle Constraint Method with Inertial and Magnetic Sensors
Attitude Estimation Algorithm Based on Quaternion Descriptor Kalman Filter
🆕 Influential since 2022
đź“š Books worth reading
Information computing and applicationsChina) ICICA (Conference) (3rd 2012 Chengde · 2012
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
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- Rotation matrix In linear algebra, a rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention…