I wanna get the angular velocity of the rotation q(t) defined by Slerp(q1(t), q2(t), s(t)), where q stands for quaternion and Slerp is the spherical linear interpolation. Both q1 and q2 is time varying. So how could I get the derivative of the Slerp and the corresponding angular velocity?
2026-03-27 17:57:26.1774634246
What is the angular velocity defined by Slerp(q1(t), q2(t), s(t))?
105 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in LIE-GROUPS
- Best book to study Lie group theory
- Holonomy bundle is a covering space
- homomorphism between unitary groups
- On uniparametric subgroups of a Lie group
- Is it true that if a Lie group act trivially on an open subset of a manifold the action of the group is trivial (on the whole manifold)?
- Find non-zero real numbers $a,b,c,d$ such that $a^2+c^2=b^2+d^2$ and $ab+cd=0$.
- $SU(2)$ adjoint and fundamental transformations
- A finite group G acts freely on a simply connected manifold M
- $SU(3)$ irreps decomposition in subgroup irreps
- Tensors transformations under $so(4)$
Related Questions in QUATERNIONS
- Intuition behind quaternion multiplication with zero scalar
- Universal cover $\mathbb{S}^3 \rightarrow SO(3)$ through Quaternions.
- Variance of a set of quaternions?
- Finding the Euler angle/axis from a 2 axes rotation but that lies on the original 2 axes' plane
- How many different quaternions $q$ are in a satisfying equation $q^2 = 1$?
- Dual quaternions displacement
- Why quaternions is a group?
- Why does the real part of quaternion conjugation with a pure quaternion stay 0?
- Why does the multiplication in a division algebra depends on every component?
- derive quaternion from rotation matrix, via eigenvector
Related Questions in ORIENTATION
- Are closed (topological) submanifold in $\mathbb R^n$ of codimension 1 orientable?
- Orientation and Coloring
- extended kalman filter equation for orientation quaternion
- Sphere eversion in $\mathbb R^4$
- Regarding Surgery and Orientation
- Showing that 2 pairs of vectors span the same subspace and that their frames belong to opposite orientations of that subspace
- First obstacle to triviality is orientability
- Is orientability needed to define volumes on riemannian manifolds?
- How do I determine whether the orientation of a basis is positive or negative using the cross product
- Orientations of pixels of image
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?