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#' plot_maxima2mesh
#'
#' This funtion plots a coloured mesh facets as great circles plot colours
#'
#' @param mesh_tr an object of type mesh3d
#' @param planes_max the output of plot_joint_great_circles function
#' @param normal_from_wild the output matrix iresulting from wildfire search
#' @param tol_ang_fam a tolerance angle to include joints in the same joint set color
#' @return A plot with great circles of joint maxima
#' @examples
#'
#' \dontrun{
#'
#' azi_dip_maxima<-plot_joint_great_circles(poles_maxima, file_name)
#'
#' plot_maxima2mesh(mesh3d,azi_dip_maxima,normali_recalc,10)
#' }
#'
#' @export
#'
plot_maxima2mesh<-function(mesh_tr,planes_max,normal_from_wild, tol_ang_fam){
n_colors<-dim(planes_max)[1]
list_col_fam<-rainbow(n_colors)
#write.table(list_col_fam, file = "list_col_fam_mesh.txt", quote=FALSE, sep = " ", col.names = T, row.names = F,qmethod = "double")
normali_coord_max_planes<-t(apply(planes_max,1,function(x) fnormals(x[1],x[2])))
id_fam_max<-matrix(0,dim(normal_from_wild)[1],1)
fam_palette<-cbind (normal_from_wild, id_fam_max)
colnames(fam_palette)[7]<-"famiglia"
fam_palette<-as.matrix(fam_palette)
indice_perc<-0
tot<-dim(normali_coord_max_planes)[1]
for (j in 1:dim(normali_coord_max_planes)[1]){
for (i in 1:dim(fam_palette)[1]){
if (fam_palette[i,7]==0 ){
cos_alfa=dotProduct(normali_coord_max_planes[j,],fam_palette[i,2:4])
if (is.nan(cos_alfa)) {cos_alfa<-0}
if (cos_alfa>1) { cos_alfa<- 1}
if (cos_alfa < (-1)) {cos_alfa<- -1}
if (((acos(cos_alfa)*180/3.1415 <=tol_ang_fam) | (acos(cos_alfa)*180/3.1415>=180-tol_ang_fam))){ #
acos(cos_alfa)*180/3.1415
fam_palette[i,7]<-j
#print(j)
}
}
}
perc = j/tot * 100;
if (perc >= indice_perc){
cat(indice_perc , "%.. ")
indice_perc = indice_perc + 10;}
}
fam_palette[which(fam_palette[,7]==6),]
legend_colors<-cbind(seq(1:dim(planes_max)[1]),list_col_fam)
legend_colors<-rbind(c(0,"#D3D3D3"),legend_colors)
colnames(legend_colors)[1]<-"num_fam"
fam_col_palette<-merge(fam_palette,legend_colors, by.x="famiglia",by.y="num_fam",all.x=T)
fam_col_palette_sort<-fam_col_palette[ order(fam_col_palette[,2]), ]
#mesh_tr$material <- list(color=rep(tr_col_sort[,'list_col'], each = 3, alpha = 0.5))
mesh_tr$material <-list(color=fam_col_palette_sort[,'list_col_fam'])
#wire3d(mesh_tr)
shade3d(mesh_tr, meshColor="faces")
axes3d(c('x','y','z'))
return(mesh_tr)
}
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