{
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  "Version": "3.8-1.001",
  "Date": "2026-05-30",
  "Title": "Exploratory Data Analysis for the 'spatstat' Family",
  "Authors@R": "c(person(\"Adrian\", \"Baddeley\", \nrole = c(\"aut\", \"cre\", \"cph\"),\nemail = \"Adrian.Baddeley@curtin.edu.au\",\ncomment = c(ORCID=\"0000-0001-9499-8382\")),\nperson(\"Rolf\", \"Turner\",\nrole = c(\"aut\", \"cph\"),\nemail=\"rolfturner@posteo.net\",\ncomment=c(ORCID=\"0000-0001-5521-5218\")),\nperson(\"Ege\",   \"Rubak\",\nrole = c(\"aut\", \"cph\"),\nemail = \"rubak@math.aau.dk\",\ncomment=c(ORCID=\"0000-0002-6675-533X\")),\nperson(\"Kasper\", \"Klitgaard Berthelsen\",\nrole = \"ctb\"),\nperson(\"Warick\", \"Brown\",\nrole = \"cph\"),\nperson(\"Achmad\", \"Choiruddin\",\nrole = \"ctb\"),\nperson(\"Ya-Mei\", \"Chang\",\nrole = \"ctb\"),\nperson(\"Jean-Francois\", \"Coeurjolly\",\nrole = \"ctb\"),\nperson(\"Lucia\", \"Cobo Sanchez\",\nrole = c(\"ctb\", \"cph\")),\nperson(\"Ottmar\", \"Cronie\",\nrole = \"ctb\"),\nperson(\"Tilman\", \"Davies\",\nrole = c(\"ctb\", \"cph\")),\nperson(\"Julian\", \"Gilbey\",\nrole = \"ctb\"),\nperson(\"Jonatan\", \"Gonzalez\",\nrole = \"ctb\"),\nperson(\"Yongtao\", \"Guan\",\nrole = \"ctb\"),\nperson(\"Ute\", \"Hahn\",\nrole = \"ctb\"),\nperson(\"Martin\", \"Hazelton\",\nrole = \"ctb\"),\nperson(\"Kassel\", \"Hingee\",\nrole = c(\"ctb\", \"cph\")),\nperson(\"Abdollah\", \"Jalilian\",\nrole = \"ctb\"),\nperson(\"Frederic\", \"Lavancier\",\nrole = \"ctb\"),\nperson(\"Marie-Colette\", \"van Lieshout\",\nrole = c(\"ctb\", \"cph\")),\nperson(\"Greg\", \"McSwiggan\",\nrole = \"ctb\"),\nperson(\"Robin K\", \"Milne\",\nrole = \"cph\"),\nperson(\"Tuomas\", \"Rajala\",\nrole = \"ctb\"),\nperson(\"Suman\", \"Rakshit\",\nrole = c(\"ctb\", \"cph\")),\nperson(\"Dominic\", \"Schuhmacher\",\nrole = \"ctb\"),\nperson(\"Rasmus\", \"Plenge Waagepetersen\",\nrole = \"ctb\"),\nperson(\"Hangsheng\", \"Wang\",\nrole = \"ctb\"),\nperson(\"Tingting\", \"Zhan\",\nrole=\"ctb\"))",
  "Maintainer": "Adrian Baddeley <Adrian.Baddeley@curtin.edu.au>",
  "Description": "Functionality for exploratory data analysis and\nnonparametric analysis of spatial data, mainly spatial point\npatterns, in the 'spatstat' family of packages. (Excludes\nanalysis of spatial data on a linear network, which is covered\nby the separate package 'spatstat.linnet'.) Methods include\nquadrat counts, K-functions and their simulation envelopes,\nnearest neighbour distance and empty space statistics, Fry\nplots, pair correlation function, kernel smoothed intensity,\nrelative risk estimation with cross-validated bandwidth\nselection, mark correlation functions, segregation indices,\nmark dependence diagnostics, and kernel estimates of covariate\neffects. Formal hypothesis tests of random pattern\n(chi-squared, Kolmogorov-Smirnov, Monte Carlo,\nDiggle-Cressie-Loosmore-Ford, Dao-Genton, two-stage Monte\nCarlo) and tests for covariate effects\n(Cox-Berman-Waller-Lawson, Kolmogorov-Smirnov, ANOVA) are also\nsupported.",
  "License": "GPL (>= 2)",
  "URL": "http://spatstat.org/",
  "NeedsCompilation": "yes",
  "ByteCompile": "true",
  "BugReports": "https://github.com/spatstat/spatstat.explore/issues",
  "Repository": "https://spatstat.r-universe.dev",
  "Date/Publication": "2026-05-30 08:42:50 UTC",
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  "Author": "Adrian Baddeley [aut, cre, cph] (ORCID:\n<https://orcid.org/0000-0001-9499-8382>),\nRolf Turner [aut, cph] (ORCID: <https://orcid.org/0000-0001-5521-5218>),\nEge Rubak [aut, cph] (ORCID: <https://orcid.org/0000-0002-6675-533X>),\nKasper Klitgaard Berthelsen [ctb],\nWarick Brown [cph],\nAchmad Choiruddin [ctb],\nYa-Mei Chang [ctb],\nJean-Francois Coeurjolly [ctb],\nLucia Cobo Sanchez [ctb, cph],\nOttmar Cronie [ctb],\nTilman Davies [ctb, cph],\nJulian Gilbey [ctb],\nJonatan Gonzalez [ctb],\nYongtao Guan [ctb],\nUte Hahn [ctb],\nMartin Hazelton [ctb],\nKassel Hingee [ctb, cph],\nAbdollah Jalilian [ctb],\nFrederic Lavancier [ctb],\nMarie-Colette van Lieshout [ctb, cph],\nGreg McSwiggan [ctb],\nRobin K Milne [cph],\nTuomas Rajala [ctb],\nSuman Rakshit [ctb, cph],\nDominic Schuhmacher [ctb],\nRasmus Plenge Waagepetersen [ctb],\nHangsheng Wang [ctb],\nTingting Zhan [ctb]",
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    "spatialCDFtest",
    "spatialCDFtestCalc",
    "spatialCovariateEvidence",
    "spatialCovariateEvidence.exactppm",
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    "SpatialMedian",
    "SpatialMedian.ppp",
    "SpatialQuantile",
    "SpatialQuantile.ppp",
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    "studpermu.test",
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    "summary.bw.optim",
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    "Summary.fasp",
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    "thresholdCI",
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    "tolcon",
    "transect.im",
    "Tstat",
    "tweak.fv.entry",
    "tweak.ratfv.entry",
    "twostage.envelope",
    "twostage.test",
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    "updateData",
    "updateData.default",
    "validate.weights",
    "validate2Dkernel",
    "vanilla.fv",
    "varblock",
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    "Vmark",
    "weightedclosepairs",
    "which.max.im",
    "Window.quadrattest",
    "with.fv",
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    "X2testEngine",
    "youden"
  ],
  "_help": [
    {
      "page": "spatstat.explore-package",
      "title": "The spatstat.explore Package",
      "topics": [
        "spatstat.explore-package",
        "spatstat.explore"
      ]
    },
    {
      "page": "Extract.ssf",
      "title": "Subset of spatially sampled function",
      "topics": [
        "[.ssf"
      ]
    },
    {
      "page": "adaptive.density",
      "title": "Adaptive Estimate of Intensity of Point Pattern",
      "concept": [
        "Adaptive smoothing"
      ],
      "topics": [
        "adaptive.density"
      ]
    },
    {
      "page": "allstats",
      "title": "Calculate four standard summary functions of a point pattern.",
      "topics": [
        "allstats"
      ]
    },
    {
      "page": "alltypes",
      "title": "Calculate Summary Statistic for All Types in a Multitype Point Pattern",
      "topics": [
        "alltypes"
      ]
    },
    {
      "page": "as.data.frame.envelope",
      "title": "Coerce Envelope to Data Frame",
      "concept": [
        "Envelope of simulations"
      ],
      "topics": [
        "as.data.frame.envelope"
      ]
    },
    {
      "page": "as.function.fv",
      "title": "Convert Function Value Table to Function",
      "topics": [
        "as.function.fv"
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    },
    {
      "page": "as.function.rhohat",
      "title": "Convert Function Table to Function",
      "topics": [
        "as.function.rhohat"
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    },
    {
      "page": "as.fv",
      "title": "Convert Data To Class fv",
      "topics": [
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        "as.fv.bw.optim",
        "as.fv.data.frame",
        "as.fv.density",
        "as.fv.fasp",
        "as.fv.fv",
        "as.fv.matrix"
      ]
    },
    {
      "page": "as.owin.quadrattest",
      "title": "Convert Data To Class owin",
      "topics": [
        "as.owin.quadrattest"
      ]
    },
    {
      "page": "as.tess",
      "title": "Convert Data To Tessellation",
      "concept": [
        "Tessellation"
      ],
      "topics": [
        "as.tess.quadrattest"
      ]
    },
    {
      "page": "auc",
      "title": "Area Under ROC Curve for Point Pattern Data",
      "topics": [
        "auc",
        "auc.bermantest",
        "auc.cdftest",
        "auc.im",
        "auc.ppp",
        "auc.roc"
      ]
    },
    {
      "page": "berman.test",
      "title": "Berman's Tests for Point Process Model",
      "concept": [
        "Goodness-of-fit"
      ],
      "topics": [
        "berman.test",
        "berman.test.ppp"
      ]
    },
    {
      "page": "bind.fv",
      "title": "Combine Function Value Tables",
      "topics": [
        "bind.fv",
        "cbind.fv"
      ]
    },
    {
      "page": "bits.envelope",
      "title": "Global Envelopes for Balanced Independent Two-Stage Test",
      "concept": [
        "Goodness-of-fit",
        "Test of randomness",
        "Envelope of simulations"
      ],
      "topics": [
        "bits.envelope"
      ]
    },
    {
      "page": "bits.test",
      "title": "Balanced Independent Two-Stage Monte Carlo Test",
      "concept": [
        "Goodness-of-fit"
      ],
      "topics": [
        "bits.test"
      ]
    },
    {
      "page": "blur",
      "title": "Apply Gaussian Blur to a Pixel Image",
      "topics": [
        "blur",
        "Smooth.im"
      ]
    },
    {
      "page": "blurHeat",
      "title": "Diffusion Blur",
      "topics": [
        "blurHeat",
        "blurHeat.im",
        "SmoothHeat.im"
      ]
    },
    {
      "page": "boyce",
      "title": "Boyce Index",
      "topics": [
        "boyce"
      ]
    },
    {
      "page": "bw.abram.ppp",
      "title": "Abramson's Adaptive Bandwidths For Spatial Point Pattern",
      "concept": [
        "Adaptive smoothing",
        "Bandwidth selection"
      ],
      "topics": [
        "bw.abram.ppp"
      ]
    },
    {
      "page": "bw.bdh",
      "title": "Adjust Bandwidth Selection Rule to Account for Inhomogeneity",
      "topics": [
        "bw.bdh"
      ]
    },
    {
      "page": "bw.CvL",
      "title": "Cronie and van Lieshout's Criterion for Bandwidth Selection for Kernel Density",
      "concept": [
        "Bandwidth selection"
      ],
      "topics": [
        "bw.CvL"
      ]
    },
    {
      "page": "bw.CvL.adaptive",
      "title": "Select Adaptive Bandwidth for Kernel Estimation Using Cronie-Van Lieshout Criterion",
      "concept": [
        "Adaptive smoothing",
        "Bandwidth selection"
      ],
      "topics": [
        "bw.CvL.adaptive"
      ]
    },
    {
      "page": "bw.CvLHeat",
      "title": "Bandwidth Selection for Diffusion Smoother by Cronie-van Lieshout Rule",
      "concept": [
        "Bandwidth selection"
      ],
      "topics": [
        "bw.CvLHeat"
      ]
    },
    {
      "page": "bw.diggle",
      "title": "Cross Validated Bandwidth Selection for Kernel Density",
      "concept": [
        "Bandwidth selection"
      ],
      "topics": [
        "bw.diggle"
      ]
    },
    {
      "page": "bw.frac",
      "title": "Bandwidth Selection Based on Window Geometry",
      "concept": [
        "Bandwidth selection"
      ],
      "topics": [
        "bw.frac"
      ]
    },
    {
      "page": "bw.optim.object",
      "title": "Class of Optimized Bandwidths",
      "concept": [
        "Bandwidth selection"
      ],
      "topics": [
        "bw.optim.object"
      ]
    },
    {
      "page": "bw.pcf",
      "title": "Cross Validated Bandwidth Selection for Pair Correlation Function",
      "topics": [
        "bw.pcf"
      ]
    },
    {
      "page": "bw.pcfinhom",
      "title": "Cross Validated Bandwidth Selection for Inhomogeneous Pair Correlation Function",
      "topics": [
        "bw.pcfinhom"
      ]
    },
    {
      "page": "bw.ppl",
      "title": "Likelihood Cross Validation Bandwidth Selection for Kernel Density",
      "concept": [
        "Bandwidth selection"
      ],
      "topics": [
        "bw.ppl"
      ]
    },
    {
      "page": "bw.pplHeat",
      "title": "Bandwidth Selection for Diffusion Smoother by Likelihood Cross-Validation",
      "concept": [
        "Bandwidth selection"
      ],
      "topics": [
        "bw.pplHeat"
      ]
    },
    {
      "page": "bw.relrisk",
      "title": "Cross Validated Bandwidth Selection for Relative Risk Estimation",
      "concept": [
        "Bandwidth selection"
      ],
      "topics": [
        "bw.relrisk",
        "bw.relrisk.ppp"
      ]
    },
    {
      "page": "bw.relriskHeatppp",
      "title": "Bandwidth Selection for Relative Risk using Diffusion",
      "topics": [
        "bw.relriskHeatppp"
      ]
    },
    {
      "page": "bw.scott",
      "title": "Scott's Rule for Bandwidth Selection for Kernel Density",
      "concept": [
        "Bandwidth selection"
      ],
      "topics": [
        "bw.scott",
        "bw.scott.iso"
      ]
    },
    {
      "page": "bw.smoothppp",
      "title": "Cross Validated Bandwidth Selection for Spatial Smoothing",
      "concept": [
        "Bandwidth selection"
      ],
      "topics": [
        "bw.smoothppp"
      ]
    },
    {
      "page": "bw.stoyan",
      "title": "Stoyan's and Fiksel's Rules of Thumb for Bandwidth for Estimating Pair Correlation",
      "concept": [
        "Bandwidth selection"
      ],
      "topics": [
        "bw.fiksel",
        "bw.stoyan"
      ]
    },
    {
      "page": "cdf.test",
      "title": "Spatial Distribution Test for Point Pattern or Point Process Model",
      "concept": [
        "Goodness-of-fit"
      ],
      "topics": [
        "cdf.test",
        "cdf.test.ppp"
      ]
    },
    {
      "page": "circdensity",
      "title": "Density Estimation for Circular Data",
      "topics": [
        "circdensity"
      ]
    },
    {
      "page": "clarkevans",
      "title": "Clark and Evans Aggregation Index",
      "topics": [
        "clarkevans"
      ]
    },
    {
      "page": "clarkevans.test",
      "title": "Clark and Evans Test",
      "concept": [
        "Test of randomness"
      ],
      "topics": [
        "clarkevans.test"
      ]
    },
    {
      "page": "clusterset",
      "title": "Allard-Fraley Estimator of Cluster Feature",
      "topics": [
        "clusterset"
      ]
    },
    {
      "page": "collapse.fv",
      "title": "Collapse Several Function Tables into One",
      "topics": [
        "collapse.anylist",
        "collapse.fv"
      ]
    },
    {
      "page": "compatible.fasp",
      "title": "Test Whether Function Arrays Are Compatible",
      "topics": [
        "compatible.fasp"
      ]
    },
    {
      "page": "compatible.fv",
      "title": "Test Whether Function Objects Are Compatible",
      "topics": [
        "compatible.fv"
      ]
    },
    {
      "page": "compileCDF",
      "title": "Generic Calculation of Cumulative Distribution Function of Distances",
      "topics": [
        "compileCDF"
      ]
    },
    {
      "page": "compileK",
      "title": "Generic Calculation of K Function and Pair Correlation Function",
      "topics": [
        "compileK",
        "compilepcf"
      ]
    },
    {
      "page": "cov.im",
      "title": "Covariance and Correlation between Images",
      "topics": [
        "cor.im",
        "cov.im"
      ]
    },
    {
      "page": "coxmap",
      "title": "Identify Dense and Sparse Regions in a Point Pattern",
      "topics": [
        "coxmap",
        "coxmap.ppp"
      ]
    },
    {
      "page": "dclf.progress",
      "title": "Progress Plot of Test of Spatial Pattern",
      "topics": [
        "dclf.progress",
        "mad.progress",
        "mctest.progress"
      ]
    },
    {
      "page": "dclf.sigtrace",
      "title": "Significance Trace of Cressie-Loosmore-Ford or Maximum Absolute Deviation Test",
      "topics": [
        "dclf.sigtrace",
        "mad.sigtrace",
        "mctest.sigtrace"
      ]
    },
    {
      "page": "dclf.test",
      "title": "Diggle-Cressie-Loosmore-Ford and Maximum Absolute Deviation Tests",
      "concept": [
        "Goodness-of-fit"
      ],
      "topics": [
        "dclf.test",
        "mad.test"
      ]
    },
    {
      "page": "density.ppp",
      "title": "Kernel Smoothed Intensity of Point Pattern",
      "topics": [
        "density.ppp"
      ]
    },
    {
      "page": "density.psp",
      "title": "Kernel Smoothing of Line Segment Pattern",
      "topics": [
        "density.psp"
      ]
    },
    {
      "page": "density.splitppp",
      "title": "Kernel Smoothed Intensity of Split Point Pattern",
      "topics": [
        "density.ppplist",
        "density.splitppp"
      ]
    },
    {
      "page": "densityAdaptiveKernel.ppp",
      "title": "Adaptive Kernel Estimate of Intensity of Point Pattern",
      "concept": [
        "Adaptive smoothing"
      ],
      "topics": [
        "densityAdaptiveKernel.ppp"
      ]
    },
    {
      "page": "densityAdaptiveKernel.splitppp",
      "title": "Adaptive Kernel Estimate of Intensity for Split Point Pattern",
      "concept": [
        "Adaptive smoothing"
      ],
      "topics": [
        "densityAdaptiveKernel.ppplist",
        "densityAdaptiveKernel.splitppp"
      ]
    },
    {
      "page": "densityfun",
      "title": "Kernel Estimate of Intensity as a Spatial Function",
      "topics": [
        "densityfun",
        "densityfun.ppp"
      ]
    },
    {
      "page": "densityHeat",
      "title": "Diffusion Estimate of Point Pattern Intensity",
      "topics": [
        "densityHeat"
      ]
    },
    {
      "page": "densityHeat.ppp",
      "title": "Diffusion Estimate of Point Pattern Intensity",
      "topics": [
        "densityHeat.ppp"
      ]
    },
    {
      "page": "densityVoronoi",
      "title": "Intensity Estimate of Point Pattern Using Voronoi-Dirichlet Tessellation",
      "concept": [
        "Adaptive smoothing"
      ],
      "topics": [
        "densityVoronoi",
        "densityVoronoi.ppp"
      ]
    },
    {
      "page": "deriv.fv",
      "title": "Calculate Derivative of Function Values",
      "topics": [
        "deriv.fv"
      ]
    },
    {
      "page": "dg.envelope",
      "title": "Global Envelopes for Dao-Genton Test",
      "concept": [
        "Goodness-of-fit",
        "Test of randomness",
        "Envelope of simulations"
      ],
      "topics": [
        "dg.envelope"
      ]
    },
    {
      "page": "dg.progress",
      "title": "Progress Plot of Dao-Genton Test of Spatial Pattern",
      "topics": [
        "dg.progress"
      ]
    },
    {
      "page": "dg.sigtrace",
      "title": "Significance Trace of Dao-Genton Test",
      "topics": [
        "dg.sigtrace"
      ]
    },
    {
      "page": "dg.test",
      "title": "Dao-Genton Adjusted Goodness-Of-Fit Test",
      "concept": [
        "Goodness-of-fit"
      ],
      "topics": [
        "dg.test"
      ]
    },
    {
      "page": "dimhat",
      "title": "Estimate Dimension of Central Subspace",
      "topics": [
        "dimhat"
      ]
    },
    {
      "page": "distcdf",
      "title": "Distribution Function of Interpoint Distance",
      "topics": [
        "distcdf"
      ]
    },
    {
      "page": "domain.quadrattest",
      "title": "Extract the Domain of any Spatial Object",
      "topics": [
        "domain.quadrattest"
      ]
    },
    {
      "page": "edge.Ripley",
      "title": "Ripley's Isotropic Edge Correction",
      "topics": [
        "edge.Ripley",
        "rmax.Ripley"
      ]
    },
    {
      "page": "edge.Trans",
      "title": "Translation Edge Correction",
      "topics": [
        "edge.Trans",
        "rmax.Trans"
      ]
    },
    {
      "page": "Emark",
      "title": "Diagnostics for random marking",
      "topics": [
        "Emark",
        "Vmark"
      ]
    },
    {
      "page": "envelope",
      "title": "Simulation Envelopes of Summary Function",
      "concept": [
        "Goodness-of-fit",
        "Test of randomness",
        "Envelope of simulations"
      ],
      "topics": [
        "envelope",
        "envelope.ppp"
      ]
    },
    {
      "page": "envelope.envelope",
      "title": "Recompute Envelopes",
      "concept": [
        "Goodness-of-fit",
        "Test of randomness",
        "Envelope of simulations"
      ],
      "topics": [
        "envelope.envelope"
      ]
    },
    {
      "page": "envelope.pp3",
      "title": "Simulation Envelopes of Summary Function for 3D Point Pattern",
      "concept": [
        "Three-dimensional",
        "Goodness-of-fit",
        "Test of randomness",
        "Envelope of simulations"
      ],
      "topics": [
        "envelope.pp3"
      ]
    },
    {
      "page": "envelopeArray",
      "title": "Array of Simulation Envelopes of Summary Function",
      "concept": [
        "Goodness-of-fit",
        "Test of randomness",
        "Envelope of simulations"
      ],
      "topics": [
        "envelopeArray"
      ]
    },
    {
      "page": "eval.fasp",
      "title": "Evaluate Expression Involving Function Arrays",
      "topics": [
        "eval.fasp"
      ]
    },
    {
      "page": "eval.fv",
      "title": "Evaluate Expression Involving Functions",
      "topics": [
        "eval.fv"
      ]
    },
    {
      "page": "Extract.fasp",
      "title": "Extract Subset of Function Array",
      "topics": [
        "[.fasp"
      ]
    },
    {
      "page": "Extract.fv",
      "title": "Extract or Replace Subset of Function Values",
      "topics": [
        "$<-.fv",
        "[.fv",
        "[<-.fv"
      ]
    },
    {
      "page": "F3est",
      "title": "Empty Space Function of a Three-Dimensional Point Pattern",
      "concept": [
        "Three-dimensional"
      ],
      "topics": [
        "F3est"
      ]
    },
    {
      "page": "fasp.object",
      "title": "Function Arrays for Spatial Patterns",
      "topics": [
        "fasp.object"
      ]
    },
    {
      "page": "Fest",
      "title": "Estimate the Empty Space Function or its Hazard Rate",
      "topics": [
        "Fest",
        "Fhazard"
      ]
    },
    {
      "page": "Finhom",
      "title": "Inhomogeneous Empty Space Function",
      "topics": [
        "Finhom"
      ]
    },
    {
      "page": "FmultiInhom",
      "title": "Inhomogeneous Marked F-Function",
      "topics": [
        "Fmulti.inhom",
        "FmultiInhom"
      ]
    },
    {
      "page": "formula.fv",
      "title": "Extract or Change the Plot Formula for a Function Value Table",
      "topics": [
        "formula.fv",
        "formula<-",
        "formula<-.fv"
      ]
    },
    {
      "page": "fryplot",
      "title": "Fry Plot of Point Pattern",
      "topics": [
        "fryplot",
        "frypoints"
      ]
    },
    {
      "page": "fv",
      "title": "Create a Function Value Table",
      "topics": [
        "fv"
      ]
    },
    {
      "page": "fv.object",
      "title": "Function Value Table",
      "topics": [
        "fv.object"
      ]
    },
    {
      "page": "fvnames",
      "title": "Abbreviations for Groups of Columns in Function Value Table",
      "topics": [
        "fvnames",
        "fvnames<-"
      ]
    },
    {
      "page": "G3est",
      "title": "Nearest Neighbour Distance Distribution Function of a Three-Dimensional Point Pattern",
      "concept": [
        "Three-dimensional"
      ],
      "topics": [
        "G3est"
      ]
    },
    {
      "page": "Gcross",
      "title": "Multitype Nearest Neighbour Distance Function (i-to-j)",
      "topics": [
        "Gcross"
      ]
    },
    {
      "page": "Gcross.inhom",
      "title": "Inhomogeneous Multitype G Cross Function",
      "topics": [
        "Gcross.inhom"
      ]
    },
    {
      "page": "Gdot",
      "title": "Multitype Nearest Neighbour Distance Function (i-to-any)",
      "topics": [
        "Gdot"
      ]
    },
    {
      "page": "Gdot.inhom",
      "title": "Inhomogeneous Multitype G Dot Function",
      "topics": [
        "Gdot.inhom"
      ]
    },
    {
      "page": "Gest",
      "title": "Nearest Neighbour Distance Function G",
      "topics": [
        "Gest",
        "nearest.neighbour"
      ]
    },
    {
      "page": "Gfox",
      "title": "Foxall's Distance Functions",
      "topics": [
        "Gfox",
        "Jfox"
      ]
    },
    {
      "page": "Ginhom",
      "title": "Inhomogeneous Nearest Neighbour Function",
      "topics": [
        "Ginhom"
      ]
    },
    {
      "page": "Gmulti",
      "title": "Marked Nearest Neighbour Distance Function",
      "topics": [
        "Gmulti"
      ]
    },
    {
      "page": "GmultiInhom",
      "title": "Inhomogeneous Marked G-Function",
      "topics": [
        "Gmulti.inhom",
        "GmultiInhom"
      ]
    },
    {
      "page": "harmonise.fv",
      "title": "Make Function Tables Compatible",
      "topics": [
        "harmonise.fv",
        "harmonize.fv"
      ]
    },
    {
      "page": "Hest",
      "title": "Spherical Contact Distribution Function",
      "topics": [
        "Hest"
      ]
    },
    {
      "page": "hopskel",
      "title": "Hopkins-Skellam Test",
      "topics": [
        "hopskel",
        "hopskel.test"
      ]
    },
    {
      "page": "hotbox",
      "title": "Heat Kernel for a Two-Dimensional Rectangle",
      "topics": [
        "hotbox"
      ]
    },
    {
      "page": "idw",
      "title": "Inverse-distance weighted smoothing of observations at irregular points",
      "topics": [
        "idw"
      ]
    },
    {
      "page": "Iest",
      "title": "Estimate the I-function",
      "topics": [
        "Iest"
      ]
    },
    {
      "page": "increment.fv",
      "title": "Increments of a Function",
      "topics": [
        "increment.fv"
      ]
    },
    {
      "page": "integral.fv",
      "title": "Compute Integral of Function Object",
      "topics": [
        "integral.fv"
      ]
    },
    {
      "page": "ISE.envelope",
      "title": "Integrated Squared Error on an Envelope Object",
      "topics": [
        "ISE.envelope"
      ]
    },
    {
      "page": "Jcross",
      "title": "Multitype J Function (i-to-j)",
      "topics": [
        "Jcross"
      ]
    },
    {
      "page": "Jcross.inhom",
      "title": "Inhomogeneous Multitype J function (i-to-j)",
      "topics": [
        "Jcross.inhom"
      ]
    },
    {
      "page": "Jdot",
      "title": "Multitype J Function (i-to-any)",
      "topics": [
        "Jdot"
      ]
    },
    {
      "page": "Jdot.inhom",
      "title": "Inhomogeneous Multitype J function (i-to-any)",
      "topics": [
        "Jdot.inhom"
      ]
    },
    {
      "page": "Jest",
      "title": "Estimate the J-function",
      "topics": [
        "Jest"
      ]
    },
    {
      "page": "Jinhom",
      "title": "Inhomogeneous J-function",
      "topics": [
        "Jinhom"
      ]
    },
    {
      "page": "Jmulti",
      "title": "Marked J Function",
      "topics": [
        "Jmulti"
      ]
    },
    {
      "page": "Jmulti.inhom",
      "title": "Inhomogeneous Marked J-Function",
      "topics": [
        "Jmulti.inhom"
      ]
    },
    {
      "page": "K3est",
      "title": "K-function of a Three-Dimensional Point Pattern",
      "concept": [
        "Three-dimensional"
      ],
      "topics": [
        "K3est"
      ]
    },
    {
      "page": "Kcross",
      "title": "Multitype K Function (Cross-type)",
      "topics": [
        "Kcross"
      ]
    },
    {
      "page": "Kcross.inhom",
      "title": "Inhomogeneous Cross K Function",
      "topics": [
        "Kcross.inhom"
      ]
    },
    {
      "page": "Kdot",
      "title": "Multitype K Function (i-to-any)",
      "topics": [
        "Kdot"
      ]
    },
    {
      "page": "Kdot.inhom",
      "title": "Inhomogeneous Multitype K Dot Function",
      "topics": [
        "Kdot.inhom"
      ]
    },
    {
      "page": "Kest",
      "title": "K-function",
      "topics": [
        "Kest"
      ]
    },
    {
      "page": "Kest.fft",
      "title": "K-function using FFT",
      "topics": [
        "Kest.fft"
      ]
    },
    {
      "page": "Kinhom",
      "title": "Inhomogeneous K-function",
      "topics": [
        "Kinhom"
      ]
    },
    {
      "page": "Kmark",
      "title": "Mark-Weighted K Function",
      "topics": [
        "Kmark",
        "markcorrint"
      ]
    },
    {
      "page": "Kmeasure",
      "title": "Reduced Second Moment Measure",
      "topics": [
        "Kmeasure"
      ]
    },
    {
      "page": "Kmulti",
      "title": "Marked K-Function",
      "topics": [
        "Kmulti"
      ]
    },
    {
      "page": "Kmulti.inhom",
      "title": "Inhomogeneous Marked K-Function",
      "topics": [
        "Kmulti.inhom"
      ]
    },
    {
      "page": "Kscaled",
      "title": "Locally Scaled K-function",
      "topics": [
        "Kscaled",
        "Lscaled"
      ]
    },
    {
      "page": "Ksector",
      "title": "Sector K-function",
      "topics": [
        "Ksector"
      ]
    },
    {
      "page": "laslett",
      "title": "Laslett's Transform",
      "topics": [
        "laslett"
      ]
    },
    {
      "page": "Lcross",
      "title": "Multitype L-function (cross-type)",
      "topics": [
        "Lcross"
      ]
    },
    {
      "page": "Lcross.inhom",
      "title": "Inhomogeneous Cross Type L Function",
      "topics": [
        "Lcross.inhom"
      ]
    },
    {
      "page": "Ldot",
      "title": "Multitype L-function (i-to-any)",
      "topics": [
        "Ldot"
      ]
    },
    {
      "page": "Ldot.inhom",
      "title": "Inhomogeneous Multitype L Dot Function",
      "topics": [
        "Ldot.inhom"
      ]
    },
    {
      "page": "Lest",
      "title": "L-function",
      "topics": [
        "Lest"
      ]
    },
    {
      "page": "Linhom",
      "title": "Inhomogeneous L-function",
      "topics": [
        "Linhom"
      ]
    },
    {
      "page": "localK",
      "title": "Neighbourhood density function",
      "topics": [
        "localK",
        "localL"
      ]
    },
    {
      "page": "localKcross",
      "title": "Local Multitype K Function (Cross-Type)",
      "topics": [
        "localKcross",
        "localLcross"
      ]
    },
    {
      "page": "localKcross.inhom",
      "title": "Inhomogeneous Multitype K Function",
      "topics": [
        "localKcross.inhom",
        "localLcross.inhom"
      ]
    },
    {
      "page": "localKdot",
      "title": "Local Multitype K Function (Dot-Type)",
      "topics": [
        "localKdot",
        "localLdot"
      ]
    },
    {
      "page": "localKinhom",
      "title": "Inhomogeneous Neighbourhood Density Function",
      "topics": [
        "localKinhom",
        "localLinhom"
      ]
    },
    {
      "page": "localpcf",
      "title": "Local pair correlation function",
      "topics": [
        "localpcf",
        "localpcfinhom"
      ]
    },
    {
      "page": "lohboot",
      "title": "Bootstrap Confidence Bands for Summary Function",
      "topics": [
        "lohboot"
      ]
    },
    {
      "page": "markconnect",
      "title": "Mark Connection Function",
      "topics": [
        "markconnect"
      ]
    },
    {
      "page": "markcorr",
      "title": "Mark Correlation Function",
      "topics": [
        "markcorr"
      ]
    },
    {
      "page": "markcrosscorr",
      "title": "Mark Cross-Correlation Function",
      "topics": [
        "markcrosscorr"
      ]
    },
    {
      "page": "markequal",
      "title": "Mark Equality Function",
      "topics": [
        "markequal"
      ]
    },
    {
      "page": "markmarkscatter",
      "title": "Mark-Mark Scatter Plot",
      "topics": [
        "markmarkscatter"
      ]
    },
    {
      "page": "marktable",
      "title": "Tabulate Marks in Neighbourhood of Every Point in a Point Pattern",
      "topics": [
        "marktable"
      ]
    },
    {
      "page": "markvario",
      "title": "Mark Variogram",
      "topics": [
        "markvario"
      ]
    },
    {
      "page": "Math.fasp",
      "title": "S3 Group Generic Methods for Function Arrays",
      "topics": [
        "Complex.fasp",
        "Math.fasp",
        "Ops.fasp",
        "Summary.fasp"
      ]
    },
    {
      "page": "Math.fv",
      "title": "S3 Group Generic Methods for Function Tables",
      "topics": [
        "Complex.fv",
        "Math.fv",
        "Ops.fv",
        "Summary.fv"
      ]
    },
    {
      "page": "methods.rho2hat",
      "title": "Methods for Intensity Functions of Two Spatial Covariates",
      "topics": [
        "methods.rho2hat",
        "plot.rho2hat",
        "predict.rho2hat",
        "print.rho2hat"
      ]
    },
    {
      "page": "methods.rhohat",
      "title": "Methods for Intensity Functions of Spatial Covariate",
      "topics": [
        "methods.rhohat",
        "plot.rhohat",
        "predict.rhohat",
        "print.rhohat",
        "simulate.rhohat"
      ]
    },
    {
      "page": "methods.ssf",
      "title": "Methods for Spatially Sampled Functions",
      "topics": [
        "as.function.ssf",
        "as.im.ssf",
        "as.ppp.ssf",
        "integral.ssf",
        "marks.ssf",
        "marks<-.ssf",
        "max.ssf",
        "methods.ssf",
        "min.ssf",
        "print.ssf",
        "range.ssf",
        "summary.ssf",
        "unmark.ssf"
      ]
    },
    {
      "page": "miplot",
      "title": "Morisita Index Plot",
      "topics": [
        "miplot"
      ]
    },
    {
      "page": "MISE.envelope",
      "title": "Mean Integrated Squared Error on an Envelope Object",
      "topics": [
        "ISB.envelope",
        "IV.envelope",
        "MISE.envelope"
      ]
    },
    {
      "page": "nnclean",
      "title": "Nearest Neighbour Clutter Removal",
      "topics": [
        "nnclean",
        "nnclean.pp3",
        "nnclean.ppp"
      ]
    },
    {
      "page": "nncorr",
      "title": "Nearest-Neighbour Correlation Indices of Marked Point Pattern",
      "topics": [
        "nncorr",
        "nnmean",
        "nnvario"
      ]
    },
    {
      "page": "nncount",
      "title": "Nearest Neighbour Cross-Type Occurrence Count Function",
      "topics": [
        "nncount"
      ]
    },
    {
      "page": "nndensity",
      "title": "Estimate Intensity of Point Pattern Using Nearest Neighbour Distances",
      "topics": [
        "nndensity",
        "nndensity.ppp"
      ]
    },
    {
      "page": "nnequal",
      "title": "Nearest Neighbour Type-Equality Function",
      "topics": [
        "nnequal"
      ]
    },
    {
      "page": "nnorient",
      "title": "Nearest Neighbour Orientation Distribution",
      "topics": [
        "nnorient"
      ]
    },
    {
      "page": "pairMean",
      "title": "Mean of a Function of Interpoint Distance",
      "topics": [
        "pairMean"
      ]
    },
    {
      "page": "pairorient",
      "title": "Point Pair Orientation Distribution",
      "topics": [
        "pairorient"
      ]
    },
    {
      "page": "pairs.im",
      "title": "Scatterplot Matrix for Pixel Images",
      "topics": [
        "pairs.im"
      ]
    },
    {
      "page": "panel.contour",
      "title": "Panel Plots using Colour Image or Contour Lines",
      "topics": [
        "panel.contour",
        "panel.histogram",
        "panel.image"
      ]
    },
    {
      "page": "pcf",
      "title": "Pair Correlation Function",
      "topics": [
        "pcf"
      ]
    },
    {
      "page": "pcf.fasp",
      "title": "Pair Correlation Function obtained from array of K functions",
      "topics": [
        "pcf.fasp"
      ]
    },
    {
      "page": "pcf.fv",
      "title": "Pair Correlation Function obtained from K Function",
      "topics": [
        "pcf.fv"
      ]
    },
    {
      "page": "pcf.ppp",
      "title": "Pair Correlation Function of Point Pattern",
      "topics": [
        "pcf.ppp"
      ]
    },
    {
      "page": "pcf3est",
      "title": "Pair Correlation Function of a Three-Dimensional Point Pattern",
      "concept": [
        "Three-dimensional"
      ],
      "topics": [
        "pcf3est"
      ]
    },
    {
      "page": "pcfcross",
      "title": "Multitype pair correlation function (cross-type)",
      "topics": [
        "pcfcross"
      ]
    },
    {
      "page": "pcfcross.inhom",
      "title": "Inhomogeneous Multitype Pair Correlation Function (Cross-Type)",
      "topics": [
        "pcfcross.inhom"
      ]
    },
    {
      "page": "pcfdot",
      "title": "Multitype pair correlation function (i-to-any)",
      "topics": [
        "pcfdot"
      ]
    },
    {
      "page": "pcfdot.inhom",
      "title": "Inhomogeneous Multitype Pair Correlation Function (Type-i-To-Any-Type)",
      "topics": [
        "pcfdot.inhom"
      ]
    },
    {
      "page": "pcfinhom",
      "title": "Inhomogeneous Pair Correlation Function",
      "topics": [
        "pcfinhom"
      ]
    },
    {
      "page": "pcfmulti",
      "title": "Marked pair correlation function",
      "topics": [
        "pcfmulti"
      ]
    },
    {
      "page": "pcfmulti.inhom",
      "title": "Inhomogeneous Multitype Pair Correlation Function",
      "topics": [
        "pcfmulti.inhom"
      ]
    },
    {
      "page": "plot.bermantest",
      "title": "Plot Result of Berman Test",
      "concept": [
        "Goodness-of-fit"
      ],
      "topics": [
        "plot.bermantest"
      ]
    },
    {
      "page": "plot.cdftest",
      "title": "Plot a Spatial Distribution Test",
      "concept": [
        "Goodness-of-fit"
      ],
      "topics": [
        "plot.cdftest"
      ]
    },
    {
      "page": "plot.envelope",
      "title": "Plot a Simulation Envelope",
      "concept": [
        "Goodness-of-fit",
        "Test of randomness",
        "Envelope of simulations"
      ],
      "topics": [
        "plot.envelope"
      ]
    },
    {
      "page": "plot.fasp",
      "title": "Plot a Function Array",
      "topics": [
        "plot.fasp"
      ]
    },
    {
      "page": "plot.fv",
      "title": "Plot Function Values",
      "topics": [
        "plot.fv"
      ]
    },
    {
      "page": "plot.laslett",
      "title": "Plot Laslett Transform",
      "topics": [
        "plot.laslett"
      ]
    },
    {
      "page": "plot.quadrattest",
      "title": "Display the result of a quadrat counting test.",
      "concept": [
        "Goodness-of-fit"
      ],
      "topics": [
        "plot.quadrattest"
      ]
    },
    {
      "page": "plot.scan.test",
      "title": "Plot Result of Scan Test",
      "topics": [
        "as.im.scan.test",
        "plot.scan.test"
      ]
    },
    {
      "page": "plot.ssf",
      "title": "Plot a Spatially Sampled Function",
      "topics": [
        "contour.ssf",
        "image.ssf",
        "plot.ssf"
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