From 7ad30ac7a9117818ec9668ec44faaf23e9b5c57a Mon Sep 17 00:00:00 2001 From: Gregory Jefferis Date: Sun, 23 Feb 2020 13:14:03 +0000 Subject: [PATCH 1/8] Add plot3d.ngraph from elmr --- NAMESPACE | 7 ++++++ R/neuron-plot.R | 57 ++++++++++++++++++++++++++++++++++++++++++++ R/ngraph.R | 2 +- _pkgdown.yml | 1 + man/ngraph.Rd | 2 +- man/plot3d.ngraph.Rd | 27 +++++++++++++++++++++ 6 files changed, 94 insertions(+), 2 deletions(-) create mode 100644 man/plot3d.ngraph.Rd diff --git a/NAMESPACE b/NAMESPACE index cd048fa4..341a465a 100644 --- a/NAMESPACE +++ b/NAMESPACE @@ -117,6 +117,7 @@ S3method(plot3d,dotprops) S3method(plot3d,hxsurf) S3method(plot3d,neuron) S3method(plot3d,neuronlist) +S3method(plot3d,ngraph) S3method(pointsinside,default) S3method(potential_synapses,dotprops) S3method(potential_synapses,neuron) @@ -364,6 +365,7 @@ importFrom(igraph,V) importFrom(igraph,add.edges) importFrom(igraph,as.directed) importFrom(igraph,as.undirected) +importFrom(igraph,as_edgelist) importFrom(igraph,decompose.graph) importFrom(igraph,degree) importFrom(igraph,delete.vertices) @@ -386,10 +388,15 @@ importFrom(nat.utils,RunCmdForNewerInput) importFrom(nat.utils,is.gzip) importFrom(nat.utils,makelock) importFrom(nat.utils,removelock) +importFrom(rgl,arrow3d) importFrom(rgl,par3d) importFrom(rgl,plot3d) +importFrom(rgl,points3d) +importFrom(rgl,pop3d) importFrom(rgl,rotationMatrix) importFrom(rgl,scaleMatrix) +importFrom(rgl,spheres3d) +importFrom(rgl,text3d) importFrom(stats,approx) importFrom(stats,dnorm) importFrom(stats,na.omit) diff --git a/R/neuron-plot.R b/R/neuron-plot.R index fd04839c..8e2a9999 100644 --- a/R/neuron-plot.R +++ b/R/neuron-plot.R @@ -634,3 +634,60 @@ check_plotengine <- function(plotengine) { '"', plotengine, '"', "\nSee ?plot3d.neuronlist for details.", call.=FALSE)) } + +#' Plot 3d representation of neuron (ngraph) with directed edges +#' +#' @param x A \code{\link{ngraph}} object +#' @param type They type of arrows (lines by default, see \code{\link{arrow3d}} +#' for details). +#' @param soma radius of soma (or \code{FALSE} to suppress plotting) +#' @param labels Whether to label nodes/all points with their raw index (not +#' id) +#' @param ... Additional arguments passed to \code{\link{arrow3d}} +#' +#' @export +#' +#' @importFrom igraph as_edgelist V +#' @importFrom rgl arrow3d par3d spheres3d text3d points3d pop3d +#' @examples +#' plot3d(as.ngraph(Cell07PNs[[1]]), labels='nodes') +plot3d.ngraph <- function(x, type='lines', soma=1, + labels=c('none', "nodes","all"), ...) { + labels=match.arg(labels) + el=igraph::as_edgelist(x, names=F) + xyz=xyzmatrix(x) + + draw_edge <- function(edge, ...) { + e1=edge[1] + e2=edge[2] + if(e1 == e2) return() + p1=xyz[e1,] + p2=xyz[e2,] + if(any(is.na(c(p1,p2))) || all(p1==p2)) { + message("Bad edge: ", edge) + return() + } + # cat(edge,"\n") + arrow3d(xyz[edge[1],], xyz[edge[2],], type=type, ...) + } + # add points at each vertex so that scene dimensions + # are correctly set for arrows + pp=points3d(xyz, size=1) + op=par3d(skipRedraw=T) + on.exit(par3d(op)) + on.exit(pop3d(id=pp), add = TRUE, after = TRUE) + apply(el, 1, draw_edge, ...) + rp=rootpoints(x) + if(isTRUE(all.equal(soma, FALSE))) { + # don't plot + } else spheres3d(xyz[rp,, drop=F], col='magenta', radius=soma) + if(labels!='none') { + all_points=igraph::V(x) + pointsel <- if(isTRUE(labels=='all')) { + all_points + } else { + unique(c(branchpoints(x), rootpoints(x), endpoints(x))) + } + text3d(xyz[pointsel,],texts = pointsel) + } +} diff --git a/R/ngraph.R b/R/ngraph.R index 8fd92ae5..871c6e87 100644 --- a/R/ngraph.R +++ b/R/ngraph.R @@ -57,7 +57,7 @@ #' @family neuron #' @seealso \code{\link{igraph}}, \code{\link[igraph]{set.vertex.attribute}}, #' \code{\link{subset.neuron}} for example of graph-based manipulation of a -#' neuron. +#' neuron, \code{\link{plot3d.ngraph}} #' @export #' @importFrom igraph V<- #' @examples diff --git a/_pkgdown.yml b/_pkgdown.yml index ac923da8..87915a5a 100644 --- a/_pkgdown.yml +++ b/_pkgdown.yml @@ -163,6 +163,7 @@ reference: - plot3d.hxsurf - plot3d.neuron - plot3d.cmtkreg + - plot3d.ngraph - title: 3D Interaction with Objects desc: Functions to review, identify, and modify objects by interactive selection in RGL windows. contents: diff --git a/man/ngraph.Rd b/man/ngraph.Rd index 6e192504..10baa693 100644 --- a/man/ngraph.Rd +++ b/man/ngraph.Rd @@ -137,7 +137,7 @@ plot(gw_antispine, col='blue', add=TRUE) \seealso{ \code{\link{igraph}}, \code{\link[igraph]{set.vertex.attribute}}, \code{\link{subset.neuron}} for example of graph-based manipulation of a - neuron. + neuron, \code{\link{plot3d.ngraph}} Other neuron: \code{\link{neuron}()}, diff --git a/man/plot3d.ngraph.Rd b/man/plot3d.ngraph.Rd new file mode 100644 index 00000000..e1660daa --- /dev/null +++ b/man/plot3d.ngraph.Rd @@ -0,0 +1,27 @@ +% Generated by roxygen2: do not edit by hand +% Please edit documentation in R/neuron-plot.R +\name{plot3d.ngraph} +\alias{plot3d.ngraph} +\title{Plot 3d representation of neuron (ngraph) with directed edges} +\usage{ +\method{plot3d}{ngraph}(x, type = "lines", soma = 1, labels = c("none", "nodes", "all"), ...) +} +\arguments{ +\item{x}{A \code{\link{ngraph}} object} + +\item{type}{They type of arrows (lines by default, see \code{\link{arrow3d}} +for details).} + +\item{soma}{radius of soma (or \code{FALSE} to suppress plotting)} + +\item{labels}{Whether to label nodes/all points with their raw index (not +id)} + +\item{...}{Additional arguments passed to \code{\link{arrow3d}}} +} +\description{ +Plot 3d representation of neuron (ngraph) with directed edges +} +\examples{ +plot3d(as.ngraph(Cell07PNs[[1]]), labels='nodes') +} From bb1a88d96d85f96184b8f7258c6fa6d22ba09290 Mon Sep 17 00:00:00 2001 From: Gregory Jefferis Date: Sun, 23 Feb 2020 13:16:53 +0000 Subject: [PATCH 2/8] spelling --- R/nat-data.R | 4 ++-- man/dl1neuron.Rd | 4 ++-- 2 files changed, 4 insertions(+), 4 deletions(-) diff --git a/R/nat-data.R b/R/nat-data.R index a8cecef9..26d7408a 100644 --- a/R/nat-data.R +++ b/R/nat-data.R @@ -74,9 +74,9 @@ NULL #' Olfactory Projection Neuron reconstructed from EM data #' -#' A DL1 olfactory projection neuuronobject traced in CATMAID from the FAFB +#' A DL1 olfactory projection neuron object traced in CATMAID from the FAFB #' whole brain EM volume. This has a complex morphology that makes a good test -#' for pruning and simplifcation strategies. +#' for pruning and simplification strategies. #' #' @format A \code{neuron} object with additional class \code{catmaidneuron} #' @source \url{http://www.diamondse.info/} diff --git a/man/dl1neuron.Rd b/man/dl1neuron.Rd index e0138af0..e6ae7120 100644 --- a/man/dl1neuron.Rd +++ b/man/dl1neuron.Rd @@ -12,9 +12,9 @@ dl1neuron } \description{ -A DL1 olfactory projection neuuronobject traced in CATMAID from the FAFB +A DL1 olfactory projection neuron object traced in CATMAID from the FAFB whole brain EM volume. This has a complex morphology that makes a good test -for pruning and simplifcation strategies. +for pruning and simplification strategies. } \seealso{ \code{\link{Cell07PNs}} From 996e0b5f82a8ae107c1865a077d5d11796072dca Mon Sep 17 00:00:00 2001 From: Gregory Jefferis Date: Sun, 23 Feb 2020 14:39:43 +0000 Subject: [PATCH 3/8] test distal_to --- tests/testthat/test-ngraph.R | 24 ++++++++++++++++++++++++ 1 file changed, 24 insertions(+) diff --git a/tests/testthat/test-ngraph.R b/tests/testthat/test-ngraph.R index 8b3a118a..022b2dcb 100644 --- a/tests/testthat/test-ngraph.R +++ b/tests/testthat/test-ngraph.R @@ -213,3 +213,27 @@ test_that("Strahler order", { expect_equal(prune_strahler(n, orderstoprune = 1L), ns) }) +context("distal_to") + +test_that("distal_to works", { + x=dl1neuron + lhep=x$tags[['SCHLEGEL_LH']] + lhep.idx=match(lhep, x$d$PointNo) + expect_equal(dtlhep <- distal_to(x, node.pointno = lhep), + distal_to(x, node.idx = lhep.idx)) + + # manually work out + matching_seg_id=which(sapply(x$SegList, function(x) any(lhep.idx %in% x))) + matching_seg=x$SegList[[matching_seg_id]] + + matching_part = matching_seg[seq.int(from = which(matching_seg == lhep.idx), + to = length(matching_seg))] + + expect_equal(matching_part, dtlhep[1:length(matching_part)], + label = 'Initial part of distal_to returns correct indices') + + # check that if we specify the soma things still work + expect_equal(distal_to(x, node.pointno = lhep, root.idx = x$StartPoint), dtlhep) + expect_equal(distal_to(x, node.pointno = lhep, root.pointno = x$tags$soma), dtlhep) +}) + From d4f8056167228aa6ce971d2f0fd883514b3151a1 Mon Sep 17 00:00:00 2001 From: Gregory Jefferis Date: Sun, 23 Feb 2020 19:03:16 +0000 Subject: [PATCH 4/8] Add distal_to to ngraph vignette --- vignettes/neurons-as-graph.Rmd | 38 ++++++++++++++++++++++++++++++++++ 1 file changed, 38 insertions(+) diff --git a/vignettes/neurons-as-graph.Rmd b/vignettes/neurons-as-graph.Rmd index 3d80aed9..4de056d9 100644 --- a/vignettes/neurons-as-graph.Rmd +++ b/vignettes/neurons-as-graph.Rmd @@ -304,3 +304,41 @@ plot(pruned, lwd=2, add = T) ``` The pruned neurons show up in red, green, and blue in the above plot. + +### Distal nodes +As of nat v1.10.0 there is a `distal_to()` function to provide a simpler +access to nodes defined by graph position. +```{r} +n=Cell07PNs[[1]] +distal_to(n, node.idx = n$AxonLHEP) +``` + +One can find the complement (i.e. all the nodes that are not in the distal set) +by comparing with the indices of all vertices. + +```{r} +setdiff(seq_len(nvertices(n)), distal_to(n, node.idx = n$AxonLHEP)) +``` + + +`distal_to()` allows you to write a slightly simpler version of the function +above: +```{r} +prune_from_lhep2 <- function(n, ...) { + downstream_indices=distal_to(n, node.idx = n$AxonLHEP) + prune_vertices(n, verticestoprune = downstream_indices, invert = TRUE) +} + +all.equal(nlapply(Cell07PNs[1:3], prune_from_lhep2), pruned) +``` + +Notice that `distal_to()` will help with the situation where you need to find +nodes using their identifiers rather than indices. For example tags in neurons +loaded from the CATMAID reconstruction tool are defined by ids not indices. + +```{r} +tokeep=distal_to(dl1neuron, node.pointno = dl1neuron$tags$SCHLEGEL_LH) +plot(dl1neuron, WithNodes = F, soma=2000) +plot(prune_vertices(dl1neuron, tokeep, invert = T), add=T, WithNodes = F, col='red', lwd=2) +``` + From d919f796b859cbd860b44a9ef9ffa5885c9142e7 Mon Sep 17 00:00:00 2001 From: Gregory Jefferis Date: Sun, 23 Feb 2020 19:18:18 +0000 Subject: [PATCH 5/8] redown --- docs/articles/Installation.html | 8 +- docs/articles/NeuroGeometry.html | 4 +- .../figure-html/unnamed-chunk-13-1.png | Bin 5748 -> 42334 bytes docs/articles/neurons-as-graph.html | 53 +++++++++--- .../figure-html/unnamed-chunk-23-1.png | Bin 0 -> 98159 bytes .../figure-html/unnamed-chunk-5-1.png | Bin 106452 -> 105354 bytes docs/articles/neurons-intro.html | 16 ++-- .../plotly.js | 0 .../plotly-htmlwidgets.css | 0 .../plotly-main-1.49.4/plotly-latest.min.js | 7 -- .../plotly-main-1.52.2/plotly-latest.min.js | 7 ++ docs/articles/plotly.html | 26 +++--- .../plotly.js | 0 .../plotly-htmlwidgets.css | 0 .../plotly-main-1.49.4/plotly-latest.min.js | 7 -- .../plotly-main-1.52.2/plotly-latest.min.js | 7 ++ docs/index.html | 2 +- docs/reference/Cell07PNs.html | 11 +-- docs/reference/dl1neuron.html | 12 ++- docs/reference/index.html | 6 ++ docs/reference/ngraph.html | 2 +- docs/reference/nlscan.html | 2 +- docs/reference/plot3d.html | 9 ++- .../{overlap.html => plot3d.ngraph.html} | 76 ++++++------------ docs/reference/segmentgraph.html | 20 ++--- 25 files changed, 148 insertions(+), 127 deletions(-) create mode 100644 docs/articles/neurons-as-graph_files/figure-html/unnamed-chunk-23-1.png rename docs/articles/neurons-intro_files/{plotly-binding-4.9.1 => plotly-binding-4.9.2}/plotly.js (100%) rename docs/articles/neurons-intro_files/{plotly-htmlwidgets-css-1.49.4 => plotly-htmlwidgets-css-1.52.2}/plotly-htmlwidgets.css (100%) delete mode 100644 docs/articles/neurons-intro_files/plotly-main-1.49.4/plotly-latest.min.js create mode 100644 docs/articles/neurons-intro_files/plotly-main-1.52.2/plotly-latest.min.js rename docs/articles/plotly_files/{plotly-binding-4.9.1 => plotly-binding-4.9.2}/plotly.js (100%) rename docs/articles/plotly_files/{plotly-htmlwidgets-css-1.49.4 => plotly-htmlwidgets-css-1.52.2}/plotly-htmlwidgets.css (100%) delete mode 100644 docs/articles/plotly_files/plotly-main-1.49.4/plotly-latest.min.js create mode 100644 docs/articles/plotly_files/plotly-main-1.52.2/plotly-latest.min.js rename docs/reference/{overlap.html => plot3d.ngraph.html} (63%) diff --git a/docs/articles/Installation.html b/docs/articles/Installation.html index 9373d736..962b5104 100644 --- a/docs/articles/Installation.html +++ b/docs/articles/Installation.html @@ -113,7 +113,7 @@

Installation details

Gregory Jefferis

-

2020-02-09

+

2020-02-23

Source: vignettes/Installation.Rmd @@ -153,10 +153,10 @@

+devtools::install_github("natverse/nat")

The nat package includes extensive unit tests which are run along with R’s (extremely fastidious) package check routines by the Travis continuous integration server. The master branch is therefore considered very stable and may well contain fixes or enhancements over released versions. However, you can install any release version including the latest release as follows:

-
devtools::install_github("natverse/nat@v1.8.6")
-

The same syntax can be used to install any arbitrary version that you want from github. See ?install_github for details.

+
devtools::install_github("natverse/nat@v1.8.6")
+

The same syntax can be used to install any arbitrary version that you want from github. See ?install_github for details.

Note: Windows users need Rtools to install in this way, but devtools should offer to install this for you if you do not already have it.

diff --git a/docs/articles/NeuroGeometry.html b/docs/articles/NeuroGeometry.html index a7ba59d8..c3334487 100644 --- a/docs/articles/NeuroGeometry.html +++ b/docs/articles/NeuroGeometry.html @@ -113,7 +113,7 @@

NeuroGeometry: Analysing 3D morphology of neurons

Gregory Jefferis

-

2020-02-09

+

2020-02-23

Source: vignettes/NeuroGeometry.Rmd @@ -4648,7 +4648,7 @@

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Working with individual neurons as graph structures

Gregory Jefferis

-

2020-02-09

+

2020-02-23

Source: vignettes/neurons-as-graph.Rmd @@ -234,9 +234,9 @@

class(g)

## [1] "ngraph" "igraph"
-
## IGRAPH 73895eb DN-- 180 179 -- 
+
## IGRAPH 384effa DN-- 180 179 -- 
 ## + attr: name (v/n), X (v/n), Y (v/n), Z (v/n), diam (v/n)
-## + edges from 73895eb (vertex names):
+## + edges from 384effa (vertex names):
 ##  [1]  1-> 2  2-> 3  3-> 4  4-> 5  5-> 6  6-> 7  7-> 8  8-> 9  9->10 10->11
 ## [11] 11->12 12->13 13->14 14->15 15->16 16->17 17->18 18->19 19->20 20->21
 ## [21] 21->22 22->23 23->24 24->25 25->26 26->27 27->28 28->29 29->30 30->31
@@ -264,7 +264,7 @@ 

p=igraph::shortest_paths(g, from=1, to=180) p$vpath[[1]]

-
## + 90/180 vertices, named, from 2d4b7db:
+
## + 90/180 vertices, named, from 1ed690d:
 ##  [1] 1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  16  17  18  19 
 ## [20] 20  21  22  23  24  25  26  27  28  29  30  31  32  33  34  43  44  45  46 
 ## [39] 47  48  63  64  65  66  67  68  69  70  71  72  73  74  75  86  87  88  89 
@@ -275,13 +275,13 @@ 

## Warning in igraph::shortest_paths(g, from = 180, to = 1): At
 ## structural_properties.c:4597 :Couldn't reach some vertices
-
## + 1/180 vertex, named, from 2d4b7db:
+
## + 1/180 vertex, named, from 1ed690d:
 ## [1] 1
-
## + 90/180 vertices, named, from 2d4b7db:
+
## + 90/180 vertices, named, from 1ed690d:
 ##  [1] 180 179 178 177 176 175 174 173 169 168 167 166 160 159 158 157 156 155 135
 ## [20] 108 107 106 105 104 103 98  97  95  94  93  92  91  90  89  88  87  86  75 
 ## [39] 74  73  72  71  70  69  68  67  66  65  64  63  48  47  46  45  44  43  34 
@@ -310,7 +310,7 @@ 

##            1
 ## 180 186.0859
igraph::shortest_paths(g, from='1', to='180')$vpath[[1]]
-
## + 90/180 vertices, named, from 2d4b7db:
+
## + 90/180 vertices, named, from 1ed690d:
 ##  [1] 1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  16  17  18  19 
 ## [20] 20  21  22  23  24  25  26  27  28  29  30  31  32  33  34  43  44  45  46 
 ## [39] 47  48  63  64  65  66  67  68  69  70  71  72  73  74  75  86  87  88  89 
@@ -333,7 +333,7 @@ 

then find path by identifier:

p2=igraph::shortest_paths(g2, from='1001', to='1180')$vpath[[1]]
 p2
-
## + 90/180 vertices, named, from 2d4b7db:
+
## + 90/180 vertices, named, from 1ed690d:
 ##  [1] 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015
 ## [16] 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030
 ## [31] 1031 1032 1033 1034 1043 1044 1045 1046 1047 1048 1063 1064 1065 1066 1067
@@ -374,7 +374,7 @@ 

## [1] "out" ## ## $order -## + 180/180 vertices, named, from 39cc29e: +## + 180/180 vertices, named, from 33a5742: ## [1] 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 ## [16] 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 ## [31] 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 @@ -404,7 +404,7 @@

## [1] "in" ## ## $order -## + 180/180 vertices, named, from 39cc29e: +## + 180/180 vertices, named, from 33a5742: ## [1] 72 71 70 69 68 67 66 65 64 63 48 47 46 45 44 ## [16] 43 34 33 32 31 30 29 28 27 26 25 24 23 22 21 ## [31] 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 @@ -438,6 +438,38 @@

The pruned neurons show up in red, green, and blue in the above plot.

+
+

+Distal nodes

+

As of nat v1.10.0 there is a distal_to() function to provide a simpler access to nodes defined by graph position.

+
n=Cell07PNs[[1]]
+distal_to(n, node.idx = n$AxonLHEP)
+
##   [1]  72  73  74  75  76  77  78  79  80  81  82  83  84  85  86  87  88  89
+##  [19]  90  91  92  93  94  95  96  97  98  99 100 101 102 103 104 105 106 107
+##  [37] 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125
+##  [55] 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143
+##  [73] 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161
+##  [91] 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
+## [109] 180
+

One can find the complement (i.e. all the nodes that are not in the distal set) by comparing with the indices of all vertices.

+
setdiff(seq_len(nvertices(n)), distal_to(n, node.idx = n$AxonLHEP))
+
##  [1]  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
+## [26] 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
+## [51] 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71
+

distal_to() allows you to write a slightly simpler version of the function above:

+
prune_from_lhep2 <- function(n, ...) {
+  downstream_indices=distal_to(n, node.idx = n$AxonLHEP)
+  prune_vertices(n, verticestoprune = downstream_indices, invert = TRUE)
+}
+
+all.equal(nlapply(Cell07PNs[1:3], prune_from_lhep2), pruned)
+
## [1] TRUE
+

Notice that distal_to() will help with the situation where you need to find nodes using their identifiers rather than indices. For example tags in neurons loaded from the CATMAID reconstruction tool are defined by ids not indices.

+
tokeep=distal_to(dl1neuron, node.pointno = dl1neuron$tags$SCHLEGEL_LH)
+plot(dl1neuron, WithNodes = F, soma=2000)
+plot(prune_vertices(dl1neuron, tokeep, invert = T), add=T, WithNodes = F, col='red', lwd=2)
+

+
@@ -461,6 +493,7 @@

  • Walking along ngraph objects
  • Node identifiers and indices
  • Downstream nodes
  • +
  • Distal nodes
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zi;#%eir4myLIk5%N=?g*lP_?xPhspZ;<_^pXIJODM-r^AMS^1*o-Ll0-&wdnFgwz^ zvJem~97M)C(&fbsRvv?ckxHhG{-6X?2`IBM0p2=DP=!N)Ww@iw zP5U_vBCOO_`HXKqxVdn%K){=ucy>|%&i@SKUF)nu zV|s67DAbW9p8qYI{V}Craehqc4=ep|&-vl_Kd|(_E#e23{s>Rsh~JNhFD&wdMExL9 zKX~cCIs6Z*|08?)k&ym7)BKT;{>btFU$V)X!ByM*-v?YXf`!1}72|6ci!a=M`oANu BMf?B& diff --git a/docs/articles/neurons-intro.html b/docs/articles/neurons-intro.html index e5b6c23f..804beb28 100644 --- a/docs/articles/neurons-intro.html +++ b/docs/articles/neurons-intro.html @@ -107,15 +107,15 @@ - - -
    + + +

    diff --git a/docs/reference/Cell07PNs.html b/docs/reference/Cell07PNs.html index 96adb5e9..b9a4c109 100644 --- a/docs/reference/Cell07PNs.html +++ b/docs/reference/Cell07PNs.html @@ -43,8 +43,8 @@ - @@ -157,8 +157,8 @@

    Cell07PNs: 40 Sample Projection Neurons from Jefferis, Potter et al 2007

    -

    These R lists (which have additional class neuronlist) contain 40 traced -olfactory projection neurons from Jefferis, Potter et al 2007 that have been +

    These R lists (which have additional class neuronlist) contain 40 traced +olfactory projection neurons from Jefferis, Potter et al 2007 that have been transformed onto the IS2 template brain (Cachero, Ostrovsky et al 2010).

    @@ -176,7 +176,8 @@

    R doi:10.1016/j.cub.2010.07.045

    See also

    -

    head.neuronlist, with.neuronlist

    + diff --git a/docs/reference/dl1neuron.html b/docs/reference/dl1neuron.html index 590471ab..0999968f 100644 --- a/docs/reference/dl1neuron.html +++ b/docs/reference/dl1neuron.html @@ -43,9 +43,9 @@ - +for pruning and simplification strategies." /> @@ -157,9 +157,9 @@

    Olfactory Projection Neuron reconstructed from EM data

    -

    A DL1 olfactory projection neuuronobject traced in CATMAID from the FAFB +

    A DL1 olfactory projection neuron object traced in CATMAID from the FAFB whole brain EM volume. This has a complex morphology that makes a good test -for pruning and simplifcation strategies.

    +for pruning and simplification strategies.

    dl1neuron
    @@ -171,6 +171,9 @@

    FormatSource

    http://www.diamondse.info/

    +

    See also

    + +
    diff --git a/docs/reference/index.html b/docs/reference/index.html index c5601287..ab8bf833 100644 --- a/docs/reference/index.html +++ b/docs/reference/index.html @@ -668,6 +668,12 @@

    plot3d(<cmtkreg>)

    Plot the domain of a CMTK registration

    + + + +

    plot3d(<ngraph>)

    + +

    Plot 3d representation of neuron (ngraph) with directed edges

    diff --git a/docs/reference/ngraph.html b/docs/reference/ngraph.html index 8a6d35d8..fa7be049 100644 --- a/docs/reference/ngraph.html +++ b/docs/reference/ngraph.html @@ -288,7 +288,7 @@

    See a

    igraph, set.vertex.attribute, subset.neuron for example of graph-based manipulation of a - neuron.

    + neuron, plot3d.ngraph

    Other neuron: neuron(), plot.dotprops(), diff --git a/docs/reference/nlscan.html b/docs/reference/nlscan.html index 07c82b23..1acb2a3f 100644 --- a/docs/reference/nlscan.html +++ b/docs/reference/nlscan.html @@ -271,7 +271,7 @@

    Examp # plot surface model of brain first # nb depends on package only available on github -devtools::install_github(username = "natverse/nat.flybrains") +devtools::install_github(username = "natverse/nat.flybrains") library(nat.flybrains) plot3d(FCWB) # could select e.g. the gamma neurons with unbranched axons diff --git a/docs/reference/plot3d.html b/docs/reference/plot3d.html index 7d58f7c6..e5d6d5ac 100644 --- a/docs/reference/plot3d.html +++ b/docs/reference/plot3d.html @@ -177,14 +177,15 @@

    Examp #> [4] plot3d.cmtkreg* plot3d.default* plot3d.deldir* #> [7] plot3d.dotprops* plot3d.formula* plot3d.function* #> [10] plot3d.hxsurf* plot3d.lm* plot3d.mesh3d* -#> [13] plot3d.neuron* plot3d.neuronlist* plot3d.rglbackground* -#> [16] plot3d.rglbboxdeco* plot3d.rglobject* plot3d.rglscene* -#> [19] plot3d.rglsubscene* plot3d.tri* plot3d.triSht* +#> [13] plot3d.neuron* plot3d.neuronlist* plot3d.ngraph* +#> [16] plot3d.rglbackground* plot3d.rglbboxdeco* plot3d.rglobject* +#> [19] plot3d.rglscene* plot3d.rglsubscene* plot3d.tri* +#> [22] plot3d.triSht* #> see '?methods' for accessing help and source code

    # up to date list of all plot3d nethods in this package intersect(methods("plot3d"), ls(asNamespace("nat")))
    #> [1] "plot3d.boundingbox" "plot3d.character" "plot3d.cmtkreg" #> [4] "plot3d.dotprops" "plot3d.hxsurf" "plot3d.neuron" -#> [7] "plot3d.neuronlist"

    +#> [7] "plot3d.neuronlist" "plot3d.ngraph"
    @@ -157,69 +149,53 @@
    -

    Generates an 'overlap matrix' of overlap scores between neurons - in the output.neurons and input.neurons pools. For every - point in a given neuron in output.neurons, a distance score is - calculated to every point in a neuron in input.neurons. The sum of - this score is added to the final output matrix. The score is calculated as - e(-d^2/(2*delta^2)), where d is the euclidean distance between the - two points, and delta is the expected distance in um that is considered - 'close'. It is recommended that the user resamples neurons before use, - using resample.

    +

    Plot 3d representation of neuron (ngraph) with directed edges

    -
    overlap(output.neurons, input.neurons, delta = 1, progress = TRUE)
    +
    # S3 method for ngraph
    +plot3d(x, type = "lines", soma = 1, labels = c("none", "nodes", "all"), ...)

    Arguments

    - - + + - - + + - - + + - - + + + + + +
    output.neurons

    first set of neurons

    x

    A ngraph object

    input.neurons

    second set of neurons

    type

    They type of arrows (lines by default, see arrow3d +for details).

    delta

    the distance (in um) at which a synapse might occur

    soma

    radius of soma (or FALSE to suppress plotting)

    progress

    whether or not to have a progress bar

    labels

    Whether to label nodes/all points with their raw index (not +id)

    ...

    Additional arguments passed to arrow3d

    -

    Value

    - -

    a matrix of overlap scores

    -

    See also

    - -

    Examples

    -
    if (FALSE) { -# Calculate how much some neurons overlap with one another -## Example requires the package nat.flybrains -Cell07PNs_overlap = overlap(output.neurons = Cell07PNs, input.neurons = Cell07PNs) - -## Plot the results -heatmap(Cell07PNs_overlap) -}
    +
    plot3d(as.ngraph(Cell07PNs[[1]]), labels='nodes')

    From 4aaa3ea000712dc4a6ce4e58346842ff3e29f9c4 Mon Sep 17 00:00:00 2001 From: Gregory Jefferis Date: Sun, 23 Feb 2020 19:23:52 +0000 Subject: [PATCH 6/8] Simple test for write.vtk --- tests/testthat/test-neuron-io.R | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/tests/testthat/test-neuron-io.R b/tests/testthat/test-neuron-io.R index 2ce36025..f0e21d8a 100644 --- a/tests/testthat/test-neuron-io.R +++ b/tests/testthat/test-neuron-io.R @@ -1055,5 +1055,5 @@ test_that("we can write a neuron to vtk format", { testn=as.neuron(testd) tf <- tempfile(fileext = '.vtk') write.vtk(testn, tf) - readLines(tf) + expect_true(length(readLines(tf))>10) }) From fa84804c5118a436b2f25459502a74a4d0c6ffcb Mon Sep 17 00:00:00 2001 From: Gregory Jefferis Date: Sun, 23 Feb 2020 19:24:07 +0000 Subject: [PATCH 7/8] test for plot3d.ngraph --- tests/testthat/test-ngraph.R | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/tests/testthat/test-ngraph.R b/tests/testthat/test-ngraph.R index 022b2dcb..827d8606 100644 --- a/tests/testthat/test-ngraph.R +++ b/tests/testthat/test-ngraph.R @@ -213,6 +213,12 @@ test_that("Strahler order", { expect_equal(prune_strahler(n, orderstoprune = 1L), ns) }) + +test_that("plot3d.ngraph works",{ + nclear3d() + plot3d(as.ngraph(Cell07PNs[[1]]), labels='nodes') +}) + context("distal_to") test_that("distal_to works", { @@ -237,3 +243,4 @@ test_that("distal_to works", { expect_equal(distal_to(x, node.pointno = lhep, root.pointno = x$tags$soma), dtlhep) }) + From b1edd29a9f0a0acbfa5f26d3d20d0e5d85754334 Mon Sep 17 00:00:00 2001 From: Gregory Jefferis Date: Sun, 23 Feb 2020 19:26:10 +0000 Subject: [PATCH 8/8] actual tests for potential_synapses --- tests/testthat/test-potential_synapses.R | 8 +++++--- 1 file changed, 5 insertions(+), 3 deletions(-) diff --git a/tests/testthat/test-potential_synapses.R b/tests/testthat/test-potential_synapses.R index 42da14dc..fd5435a0 100644 --- a/tests/testthat/test-potential_synapses.R +++ b/tests/testthat/test-potential_synapses.R @@ -1,9 +1,11 @@ context("potential synapses") test_that("can call potential synapses on some neurons",{ - potential_synapses(Cell07PNs[[1]], Cell07PNs[[2]], s=2) - potential_synapses(Cell07PNs[[1]], Cell07PNs[[1]], s=2) - potential_synapses(Cell07PNs[[1]], Cell07PNs[[2]], s=2, method='approx') + expect_equal(potential_synapses(Cell07PNs[[1]], Cell07PNs[[2]], s=2), 219L) + expect_equal(potential_synapses(Cell07PNs[[1]], Cell07PNs[[1]], s=2), 902L) + expect_is(potential_synapses(Cell07PNs[[1]], Cell07PNs[[2]], s = 2, + method = 'approx'), + 'numeric') }) test_that("can calculat potential synapses with bounding box",{