Alternative Tour Frame Interpolation Method
Overlay paths of interpolation on the sphere
Compute the angle between 2d vectors 360 degrees
Calculate angles of required rotations to map Wz to Wa
Reconstruct interpolated frames using pre-projection
Construct preprojected frames
Generate the background sphere or torus
Construct full interpolated frames
Calculate information needed for Givens interpolation The methodology ...
Interpolation format for tourr
It implements series of Givens rotations that maps Wa to Wz
Step along a Givens interpolated path by fraction of path length.
Create a grand tour with Givens interpolation
Create a guided tour with Givens interpolation
Path needed for tour with Givens interpolation
A planned tour path using frame-to-frame interpolation.
Build a d-dimensional pre-projection space by orthonormalizing Fz with...
Takes i and k-th row of a matrix and rotate matrix by theta angle (req...
Simulated 6D data with a sine curve
woylier: Alternative Tour Frame Interpolation Method
This method generates a tour path by interpolating between d-D frames in p-D using Givens rotations. The algorithm arises from the problem of zeroing elements of a matrix. This interpolation method is useful for showing specific d-D frames in the tour, as opposed to d-D planes, as done by the geodesic interpolation. It is useful for projection pursuit indexes which are not s invariant. See more details in Buj, Cook, Asimov and Hurley (2005) <doi:10.1016/S0169-7161(04)24014-7> and Batsaikhan, Cook and Laa (2023) <doi:10.48550/arXiv.2311.08181>.
Useful links