givens_rotation

It implements series of Givens rotations that maps Wa to Wz

internal

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>.

Di Cook

woylier

Alternative Tour Frame Interpolation Method

Zola Batsaikan

Dianne Cook

Ursula Laa

givens_rotation function

<dl><dt>Wa</dt>
<dd>starting preprojected frame</dd>
<dt>angles</dt>
<dd>angles of required rotations to map Wz to Wa</dd>
<dt>stepfraction</dt>
<dd>for the interpolation of rotations</dd></dl>

Arguments

It implements series of Givens rotations that maps Wa to Wz — givens_rotation

<dl>

<dt>Wa</dt>
<dd>starting preprojected frame</dd>


<dt>angles</dt>
<dd>angles of required rotations to map Wz to Wa</dd>


<dt>stepfraction</dt>
<dd>for the interpolation of rotations</dd>

</dl>

givens_rotation: It implements series of Givens rotations that maps Wa to Wz

Description

Usage

Value

Arguments