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Everything about Rotation matrix
Matrix representing a Euclidean rotation
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 below, the matrix Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Rotation matrixA 5-minute orientation
- Skim a recent paper: Achieving exceptional high-temperature resistant Al matrix composites via two-dimensional BN pinning grain rotationInfluential work since 2022
- Pick up a classic book: Тензорная тригонометрияThe most-reprinted book on the subject
- Read the landmark paper: Quaternion from Rotation MatrixCited 157 times
- Go sideways: Rotation formulations in three dimensionsA closely related topic
- Go sideways: Quaternions and spatial rotationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Quaternion from Rotation Matrix
Uniform Polarimetric Matrix Rotation Theory and Its Applications
Rotation—Vibration Spectrum of Matrix-Isolated Hydrogen Chloride
Rotation of hard particles in a soft matrix
Unit Quaternion from Rotation Matrix
New Faraday Rotation Estimators Based on Polarimetric Covariance Matrix
Jones matrix for image-rotation prisms
Numerically Stable Coded Matrix Computations via Circulant and Rotation Matrix Embeddings
🆕 Influential since 2022
Achieving exceptional high-temperature resistant Al matrix composites via two-dimensional BN pinning grain rotation
Trajectory tracking control for autonomous underwater vehicle based on rotation matrix attitude representation
High entropy alloy reinforced aluminum matrix composites prepared by novel rotation friction extrusion process: Microstructure and mechanical properties
Quaternionic Shape Operator and Rotation Matrix on Ruled Surfaces
Rotation matrix-based finite-time trajectory tracking control of AUV with output constraints and input quantization
📚 Books worth reading
Тензорная тригонометрияNinul Anatoly Sergeevich · 2004
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Rotation formulations in three dimensions In geometry, there exist various formulations to express a rotation in three dimensions as a mathematical transformation. In physics, this concept is applied…
- Quaternions and spatial rotation Unit quaternions, known as versors, provide a convenient mathematical notation for representing spatial orientations and rotations of elements in three…
- Rotation (mathematics) Rotation in mathematics is a concept originating in geometry. Any rotation is a motion of a certain space that preserves at least one point. It can describe…
- 3D rotation group In mechanics and geometry, the 3D rotation group, often denoted SO(3), is the group of all rotations about the origin of three-dimensional Euclidean space…
- Euler's rotation theorem In geometry, Euler's rotation theorem states that, in three-dimensional space, any displacement of a rigid body such that a point on the body remains fixed…
- Transformation matrix In linear algebra, linear transformations can be represented by matrices. If T is a linear transformation mapping ℝn to ℝm and 𝐱 is a column vector with…
- Axis–angle representation In mathematics, the axis–angle representation parameterizes a rotation in a three-dimensional Euclidean space by two quantities: a unit vector e indicating…
- Direct-quadrature-zero transformation The direct-quadrature-zero (DQZ, DQ0 or DQO, sometimes lowercase) or Park transformation (named after Robert H. Park) is a tensor that rotates the reference…