{
  "_id": "6a17d8a5acfb0bcc41d9b082",
  "Package": "rotations",
  "Type": "Package",
  "Title": "Working with Rotation Data",
  "Version": "1.6.5",
  "Authors@R": "c(person(given = \"Bryan\",\nfamily = \"Stanfill\",\nrole = c(\"aut\", \"cre\"),\nemail = \"bstanfill2003@gmail.com\"),\nperson(given = \"Heike\",\nfamily = \"Hofmann\",\nrole = \"aut\"),\nperson(given = \"Ulrike\",\nfamily = \"Genschel\",\nrole = \"aut\"),\nperson(given = \"Aymeric\",\nfamily = \"Stamm\",\nrole = \"ctb\",\nemail = \"aymeric.stamm@math.cnrs.fr\",\ncomment = c(ORCID = \"0000-0002-8725-3654\")),\nperson(given = \"Luciano\",\nfamily = \"Selzer\",\nrole = \"ctb\"))",
  "Description": "Tools for working with rotational data, including\nsimulation from the most commonly used distributions on SO(3),\nmethods for different Bayes, mean and median type estimators\nfor the central orientation of a sample, confidence/credible\nregions for the central orientation based on those estimators\nand a novel visualization technique for rotation data.  Most\nrecently, functions to identify potentially discordant\n(outlying) values have been added.  References: Bingham,\nMelissa A. and Nordman, Dan J. and Vardeman, Steve B. (2009),\nBingham, Melissa A and Vardeman, Stephen B and Nordman, Daniel\nJ (2009), Bingham, Melissa A and Nordman, Daniel J and\nVardeman, Stephen B (2010), Leon, C.A. and Masse, J.C. and\nRivest, L.P. (2006), Hartley, R and Aftab, K and Trumpf, J.\n(2011), Stanfill, Bryan and Genschel, Ulrike and Hofmann, Heike\n(2013), Maonton, Jonathan (2004), Mardia, KV and Jupp, PE\n(2000, ISBN:9780471953333), Rancourt, D. and Rivest, L.P. and\nAsselin, J. (2000), Chang, Ted and Rivest, Louis-Paul (2001),\nFisher, Nicholas I. (1996, ISBN:0521568900).",
  "License": "MIT + file LICENSE",
  "URL": "https://github.com/stanfill/rotationsC",
  "BugReports": "https://github.com/stanfill/rotationsC/issues",
  "Encoding": "UTF-8",
  "LazyData": "true",
  "RoxygenNote": "7.2.3",
  "VignetteBuilder": "knitr",
  "Collate": "'Q4-class.R' 'RcppExports.R' 'preliminary.R' 'SO3-class.R'\n'bayes.R' 'data.R' 'distributions.R' 'estimators.R'\n'grid-search.R' 'help.R' 'kappa.R' 'plot.R' 'primitives.R'\n'regions.R' 'robust.R' 'rotations-package.R' 'zzz.R'",
  "Repository": "https://stanfill.r-universe.dev",
  "Date/Publication": "2023-12-07 22:23:54 UTC",
  "RemoteUrl": "https://github.com/stanfill/rotationsc",
  "RemoteRef": "HEAD",
  "RemoteSha": "d628745b6d5ff02c2d95ae9785d592285d77d503",
  "RemoteSubdir": "rotations",
  "NeedsCompilation": "yes",
  "Packaged": {
    "Date": "2026-05-26 05:56:47 UTC",
    "User": "root"
  },
  "Author": "Bryan Stanfill [aut, cre],\nHeike Hofmann [aut],\nUlrike Genschel [aut],\nAymeric Stamm [ctb] (ORCID: <https://orcid.org/0000-0002-8725-3654>),\nLuciano Selzer [ctb]",
  "Maintainer": "Bryan Stanfill <bstanfill2003@gmail.com>",
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  "_created": "2026-05-26T05:56:47.000Z",
  "_published": "2026-05-28T05:54:44.974Z",
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      "date": "2013-12-10"
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    {
      "version": "1.0",
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    "bayes.mean",
    "bayesCR",
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    "center",
    "chang",
    "dcayley",
    "dfisher",
    "dhaar",
    "discord",
    "dmaxwell",
    "duars",
    "dvmises",
    "fisher.kappa",
    "fisheretal",
    "genR",
    "gradient.search",
    "id.Q4",
    "id.SO3",
    "is.Q4",
    "is.SO3",
    "maxwell.kappa",
    "MCMCSO3",
    "mis.angle",
    "mis.axis",
    "pcayley",
    "pfisher",
    "phaar",
    "pmaxwell",
    "pointsXYZ",
    "prentice",
    "project.SO3",
    "puars",
    "pvmises",
    "rcayley",
    "region",
    "rfisher",
    "rhaar",
    "rmaxwell",
    "rot.dist",
    "rotdist.sum",
    "ruars",
    "rvmises",
    "skew.exp",
    "vmises.kappa",
    "zhang"
  ],
  "_datasets": [
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      "name": "drill",
      "title": "Drill data set",
      "object": "drill",
      "class": [
        "data.frame"
      ],
      "fields": [
        "Subject",
        "Joint",
        "Position",
        "Replicate",
        "Q1",
        "Q2",
        "Q3",
        "Q4"
      ],
      "rows": 720,
      "table": true,
      "tojson": true
    },
    {
      "name": "nickel",
      "title": "Nickel electron backscatter diffraction data set",
      "object": "nickel",
      "class": [
        "data.frame"
      ],
      "fields": [
        "xpos",
        "ypos",
        "location",
        "rep",
        "V1",
        "V2",
        "V3",
        "V4",
        "V5",
        "V6",
        "V7",
        "V8",
        "V9"
      ],
      "rows": 48286,
      "table": true,
      "tojson": true
    }
  ],
  "_help": [
    {
      "page": "Angular-distributions",
      "title": "Angular distributions",
      "topics": [
        "Angular-distributions"
      ]
    },
    {
      "page": "Arithmetic",
      "title": "Arithmetic operators on SO(3)",
      "topics": [
        "\"+.Q4\"",
        "\"+.SO3\"",
        "\"-.Q4\"",
        "\"-.SO3\"",
        "+.Q4",
        "+.SO3",
        "-.Q4",
        "-.SO3",
        "Arithmetic"
      ]
    },
    {
      "page": "bayes.mean",
      "title": "Parameter estimates based on non-informative Bayes",
      "topics": [
        "bayes.mean",
        "bayes.mean.Q4",
        "bayes.mean.SO3"
      ]
    },
    {
      "page": "bayesCR",
      "title": "Bayes credible regions",
      "topics": [
        "bayesCR",
        "bayesCR.Q4",
        "bayesCR.SO3"
      ]
    },
    {
      "page": "Cayley",
      "title": "The symmetric Cayley distribution",
      "topics": [
        "Cayley",
        "dcayley",
        "pcayley",
        "rcayley"
      ]
    },
    {
      "page": "cayley.kappa",
      "title": "Circular variance and concentration parameter",
      "topics": [
        "cayley.kappa"
      ]
    },
    {
      "page": "center",
      "title": "Center rotation data",
      "topics": [
        "center",
        "center.Q4",
        "center.SO3"
      ]
    },
    {
      "page": "chang",
      "title": "M-estimator asymptotic confidence region",
      "topics": [
        "chang",
        "chang.Q4",
        "chang.SO3"
      ]
    },
    {
      "page": "discord",
      "title": "Measure of Discord",
      "topics": [
        "discord"
      ]
    },
    {
      "page": "drill",
      "title": "Drill data set",
      "topics": [
        "drill"
      ]
    },
    {
      "page": "Fisher",
      "title": "The matrix-Fisher distribution",
      "topics": [
        "dfisher",
        "Fisher",
        "pfisher",
        "rfisher"
      ]
    },
    {
      "page": "fisher.kappa",
      "title": "Circular variance and concentration parameter",
      "topics": [
        "fisher.kappa"
      ]
    },
    {
      "page": "fisheretal",
      "title": "Transformation based pivotal bootstrap confidence region",
      "topics": [
        "fisheretal",
        "fisheretal.Q4",
        "fisheretal.SO3"
      ]
    },
    {
      "page": "genR",
      "title": "Generate rotations",
      "topics": [
        "genR"
      ]
    },
    {
      "page": "gradient.search",
      "title": "Gradient optimization for rotation data",
      "topics": [
        "gradient.search"
      ]
    },
    {
      "page": "Haar",
      "title": "Uniform distribution",
      "topics": [
        "dhaar",
        "Haar",
        "phaar",
        "rhaar"
      ]
    },
    {
      "page": "head",
      "title": "Return the First or Last Parts of an Object",
      "topics": [
        "head",
        "head.Q4",
        "head.SO3"
      ]
    },
    {
      "page": "log.SO3",
      "title": "Rotation logarithm",
      "topics": [
        "log.SO3"
      ]
    },
    {
      "page": "Maxwell",
      "title": "The modified Maxwell-Boltzmann distribution",
      "topics": [
        "dmaxwell",
        "Maxwell",
        "pmaxwell",
        "rmaxwell"
      ]
    },
    {
      "page": "maxwell.kappa",
      "title": "Circular variance and concentration parameter",
      "topics": [
        "maxwell.kappa"
      ]
    },
    {
      "page": "MCMCSO3",
      "title": "MCMC for rotation data",
      "topics": [
        "MCMCSO3",
        "MCMCSO3.Q4",
        "MCMCSO3.SO3"
      ]
    },
    {
      "page": "mean",
      "title": "Mean rotation",
      "topics": [
        "mean",
        "mean.Q4",
        "mean.SO3"
      ]
    },
    {
      "page": "median",
      "title": "Median rotation",
      "topics": [
        "median",
        "median.Q4",
        "median.SO3"
      ]
    },
    {
      "page": "mis.angle",
      "title": "Misorientation angle",
      "topics": [
        "mis.angle",
        "mis.angle.Q4",
        "mis.angle.SO3"
      ]
    },
    {
      "page": "mis.axis",
      "title": "Misorientation axis",
      "topics": [
        "mis.axis",
        "mis.axis.Q4",
        "mis.axis.SO3"
      ]
    },
    {
      "page": "Mises",
      "title": "The circular-von Mises distribution",
      "topics": [
        "dvmises",
        "Mises",
        "pvmises",
        "rvmises"
      ]
    },
    {
      "page": "nickel",
      "title": "Nickel electron backscatter diffraction data set",
      "topics": [
        "nickel"
      ]
    },
    {
      "page": "plot",
      "title": "Visualizing random rotations",
      "topics": [
        "plot",
        "plot.Q4",
        "plot.SO3"
      ]
    },
    {
      "page": "pointsXYZ",
      "title": "Project rotation data onto sphere",
      "topics": [
        "pointsXYZ"
      ]
    },
    {
      "page": "prentice",
      "title": "Transformation based asymptotic confidence region",
      "topics": [
        "prentice",
        "prentice.Q4",
        "prentice.SO3"
      ]
    },
    {
      "page": "project.SO3",
      "title": "Projection into SO(3)",
      "topics": [
        "project.SO3"
      ]
    },
    {
      "page": "Q4",
      "title": "`Q4` class for storing rotation data as quaternions",
      "topics": [
        "as.Q4",
        "as.Q4.data.frame",
        "as.Q4.default",
        "as.Q4.Q4",
        "as.Q4.SO3",
        "id.Q4",
        "is.Q4",
        "Q4"
      ]
    },
    {
      "page": "region",
      "title": "Confidence and credible regions for the central orientation",
      "topics": [
        "region",
        "region.Q4",
        "region.SO3"
      ]
    },
    {
      "page": "rot.dist",
      "title": "Rotational distance",
      "topics": [
        "rot.dist",
        "rot.dist.Q4",
        "rot.dist.SO3"
      ]
    },
    {
      "page": "rotations",
      "title": "A package for working with rotation data.",
      "topics": [
        "rotations"
      ]
    },
    {
      "page": "rotdist.sum",
      "title": "Sample distance",
      "topics": [
        "rotdist.sum",
        "rotdist.sum.Q4",
        "rotdist.sum.SO3"
      ]
    },
    {
      "page": "skew.exp",
      "title": "Matrix exponential",
      "topics": [
        "skew.exp"
      ]
    },
    {
      "page": "SO3",
      "title": "`SO3` class for storing rotation data as rotation matrices",
      "topics": [
        "as.SO3",
        "as.SO3.data.frame",
        "as.SO3.default",
        "as.SO3.Q4",
        "as.SO3.SO3",
        "id.SO3",
        "is.SO3",
        "SO3"
      ]
    },
    {
      "page": "tail",
      "title": "Return the First or Last Parts of an Object",
      "topics": [
        "tail",
        "tail.Q4",
        "tail.SO3"
      ]
    },
    {
      "page": "UARS",
      "title": "Generic UARS Distribution",
      "topics": [
        "duars",
        "puars",
        "ruars",
        "UARS"
      ]
    },
    {
      "page": "vmises.kappa",
      "title": "Circular variance and concentration parameter",
      "topics": [
        "vmises.kappa"
      ]
    },
    {
      "page": "weighted.mean",
      "title": "Weighted mean rotation",
      "topics": [
        "weighted.mean",
        "weighted.mean.Q4",
        "weighted.mean.SO3"
      ]
    },
    {
      "page": "zhang",
      "title": "M-estimator theory pivotal bootstrap confidence region",
      "topics": [
        "zhang",
        "zhang.Q4",
        "zhang.SO3"
      ]
    }
  ],
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    "Rcpp",
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      "description": "Optimized BLAS (linear algebra) library (shared lib, pthread)"
    },
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      "description": "Optimized BLAS (linear algebra) library (shared lib, pthread)"
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