RSPD

Generates a rotated sphere packing design.

Lattice-based space-filling designs with fill or separation distance properties including
interleaved lattice-based minimax distance designs proposed in Xu He (2017)
<doi:10.1093/biomet/asx036>, interleaved lattice-based maximin distance designs proposed in
Xu He (2018) <doi:10.1093/biomet/asy069>, interleaved lattice-based designs with low fill and
high separation distance properties proposed in Xu He (2024) <doi:10.1137/23M156940X>,
rotated sphere packing designs proposed in Xu He (2017)
<doi:10.1080/01621459.2016.1222289>, sliced rotated sphere packing designs proposed in
Xu He (2019) <doi:10.1080/00401706.2018.1458655>,
and densest packing-based maximum projections designs proposed in Xu He (2021)
<doi:10.1093/biomet/asaa057> and Xu He (2018) <doi:10.48550/arXiv.1709.02062>.

Xu He 

LatticeDesign

Lattice-Based Space-Filling Designs

RSPD function

<dl><dt>p</dt>
<dd>Number of dimensions, must be an integer greater than one.</dd><dt>n</dt>
<dd>Number of points, must be a positive integer.</dd><dt>rotation</dt>
<dd>Optional, whether to use the magic rotation matrix (for p=2, recommended) or random rotation matrices.</dd><dt>w</dt>
<dd>Number of rotation matrices to try, fixed to 1 when p=2 and rotation="magic".</dd></dl>

Arguments

Rotated sphere packing designs — RSPD

<dl>

<dt>p</dt>
<dd>Number of dimensions, must be an integer greater than one.</dd>

<dt>n</dt>
<dd>Number of points, must be a positive integer.</dd>

<dt>rotation</dt>
<dd>Optional, whether to use the magic rotation matrix (for p=2, recommended) or random rotation matrices.</dd>

<dt>w</dt>
<dd>Number of rotation matrices to try, fixed to 1 when p=2 and rotation="magic".</dd>

</dl>

RSPD: Rotated sphere packing designs

Description

Usage

Value

Arguments

Details

References

Examples