%\VignetteIndexEntry{Introduction to EBImage} %\VignetteKeywords{image processing, visualization} %\VignettePackage{EBImage} \documentclass[10pt,a4paper]{article} <>= BiocStyle::latex() @ \RequirePackage{amsfonts,amsmath,amstext,amssymb,amscd} \RequirePackage{graphicx} \RequirePackage{verbatim} \RequirePackage{hyperref} \newcommand{\code}[1]{\Rcode{#1}} % mapping to BiocStyle \hypersetup{ baseurl={http://www.bioconductor.org/packages/release/bioc/html/EBImage.html},% pdfsubject={EBImage},% pdfkeywords={image processing}% } \SweaveOpts{keep.source=TRUE,eps=FALSE} \begin{document} \SweaveOpts{concordance=TRUE} \begin{figure} \begin{center} \scalebox{0.2}{\includegraphics{logo.png}} \end{center} \end{figure} \bioctitle[Introduction to \Rpackage{EBImage}]{Introduction to \Rpackage{EBImage}} \author{Andrzej Ole\'s, Gregoire Pau, Oleg Sklyar, Wolfgang Huber\\\email{andrzej.oles@embl.de}} \maketitle \tableofcontents \section{Reading, displaying and writing images} The package \Biocpkg{EBImage} is loaded by the following command. <>= library("EBImage") @ <>= display = function(...) if (interactive()) EBImage::display(...) @ The function \Rfunction{readImage} is able to read images from files or URLs. Currently supported image formats are JPEG, PNG and TIFF\footnote{See the \Githubpkg{aoles/RBioFormats} package for support of a much wider range of formats.}. <>= f = system.file("images", "sample.png", package="EBImage") img = readImage(f) @ Images can be displayed using the function \Rfunction{display}. Pixel intensities should range from 0 (black) to 1 (white). <>= display(img) @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.48\textwidth]{img.jpeg} \includegraphics[width=0.48\textwidth]{imgc.jpeg} \caption{\code{img}, \code{imgc}} \end{center} \end{figure} Color images or images with multiple frames can also be read with \Rfunction{readImage}. <>= imgc = readImage(system.file("images", "sample-color.png", package="EBImage")) display(imgc) nuc = readImage(system.file('images', 'nuclei.tif', package='EBImage')) display(nuc) @ <>= writeImage(nuc, 'nuc.jpeg', quality=85) @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.24\textwidth]{nuc-0.jpeg} \includegraphics[width=0.24\textwidth]{nuc-1.jpeg} \includegraphics[width=0.24\textwidth]{nuc-2.jpeg} \includegraphics[width=0.24\textwidth]{nuc-3.jpeg} \caption{\code{nuc}} \end{center} \end{figure} Images can be written with \Rfunction{writeImage}. The file format is deduced from the file name extension. The format need not be the same as the format of the file from which the image was read. <>= writeImage(img, 'img.jpeg', quality=85) writeImage(imgc, 'imgc.jpeg', quality=85) @ \pagebreak \newpage \section{Image objects and matrices} The package \Rpackage{EBImage} uses the class \code{Image} to store and process images. Images are stored as multi-dimensional arrays containing the pixel intensities. All EBImage functions are also able to work with matrices and arrays. <>= print(img) @ As matrices, images can be manipulated with all R mathematical operators. This includes \code{+} to control the brightness of an image, \code{*} to control the contrast of an image or \code{\^} to control the gamma correction parameter. <>= img1 = img+0.5 img2 = 3*img img3 = (0.2+img)^3 @ <>= writeImage(img1, 'img1.jpeg', quality=85) writeImage(img2, 'img2.jpeg', quality=85) writeImage(img3, 'img3.jpeg', quality=85) @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.24\textwidth]{img.jpeg} \includegraphics[width=0.24\textwidth]{img1.jpeg} \includegraphics[width=0.24\textwidth]{img2.jpeg} \includegraphics[width=0.24\textwidth]{img3.jpeg} \caption{\code{img}, \code{img1}, \code{img2}, \code{img3}} \end{center} \end{figure} Others operators include \code{[} to crop images, \code{<} to threshold images or \code{t} to transpose images. <>= img4 = img[299:376, 224:301] img5 = img>0.5 img6 = t(img) print(median(img)) @ <>= writeImage(img4, 'img4.jpeg', quality=85) writeImage(img5, 'img5.png') writeImage(img6, 'img6.jpeg', quality=85) @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.24\textwidth]{img.jpeg} \includegraphics[width=0.24\textwidth]{img4.jpeg} \includegraphics[width=0.24\textwidth]{img5.png} \includegraphics[width=0.24\textwidth]{img6.jpeg} \caption{\code{img}, \code{img4}, \code{img5}, \code{img6}} \end{center} \end{figure} Images with multiple frames are created using \code{combine} which merges images. <>= imgcomb = combine(img, img*2, img*3, img*4) display(imgcomb) @ <>= writeImage(imgcomb, 'imgcomb.jpeg', quality=85) @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.24\textwidth]{imgcomb-0.jpeg} \includegraphics[width=0.24\textwidth]{imgcomb-1.jpeg} \includegraphics[width=0.24\textwidth]{imgcomb-2.jpeg} \includegraphics[width=0.24\textwidth]{imgcomb-3.jpeg} \caption{\code{imgcomb}} \end{center} \end{figure} \pagebreak \newpage \section{Spatial transformations} Specific spatial image transformations are done with the functions \code{resize}, \code{rotate}, \code{translate} and the functions \code{flip} and \code{flop} to reflect images. <>= img7 = rotate(img, 30) img8 = translate(img, c(40, 70)) img9 = flip(img) @ <>= writeImage(img7, 'img7.jpeg', quality=85) writeImage(img8, 'img8.jpeg', quality=85) writeImage(img9, 'img9.jpeg', quality=85) @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.24\textwidth]{img.jpeg} \includegraphics[width=0.24\textwidth]{img7.jpeg} \includegraphics[width=0.24\textwidth]{img8.jpeg} \includegraphics[width=0.24\textwidth]{img9.jpeg} \caption{\code{img}, \code{img7}, \code{img8}, \code{img9}} \end{center} \end{figure} \pagebreak \newpage \section{Color management} The class \code{Image} extends the base class \code{array} and uses the \code{colormode} slot to store how the color information of the multi-dimensional data should be handled. As an example, the color image \code{imgc} is a 512x512x3 array, with a \code{colormode} slot equals to \code{Color}. The object is understood as a color image by \Rpackage{EBImage} functions. <>= print(imgc) @ The function \code{colorMode} can access and change the value of the slot \code{colormode}, modifying the rendering mode of an image. In the next example, the \code{Color} image \code{imgc} with one frame is changed into a \code{Grayscale} image with 3 frames, corresponding to the red, green and blue channels. The function \code{colorMode} does not change the content of the image but changes only the way the image is rendered by \Rpackage{EBImage}. <>= colorMode(imgc) = Grayscale display(imgc) @ <>= writeImage(imgc, 'imgc.jpeg', quality=85) @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.24\textwidth]{imgc.jpeg} \includegraphics[width=0.24\textwidth]{imgc-0.jpeg} \includegraphics[width=0.24\textwidth]{imgc-1.jpeg} \includegraphics[width=0.24\textwidth]{imgc-2.jpeg} \caption{\code{imgc}, rendered as a \code{Color} image and as a \code{Grayscale} image with 3 frames (red channel, green channel, blue channel)} \end{center} \end{figure} The color mode of image \code{imgc} is reverted back to \code{Color}. <>= colorMode(imgc) = Color @ The function \code{channel} performs colorspace conversion and can convert \code{Grayscale} images into \code{Color} ones both ways and can extract color channels from \code{Color} images. Unlike \code{colorMode}, \code{channel} changes the pixel intensity values of the image. The function \code{rgbImage} is able to combine 3 \code{Grayscale} images into a \code{Color} one. <>= imgk = channel(img, 'rgb') imgk[236:276, 106:146, 1] = 1 imgk[236:276, 156:196, 2] = 1 imgk[236:276, 206:246, 3] = 1 imgb = rgbImage(red=img, green=flip(img), blue=flop(img)) @ <>= writeImage(imgk, 'imgk.jpeg', quality=85) writeImage(imgb, 'imgb.jpeg', quality=85) @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.48\textwidth]{imgk.jpeg} \includegraphics[width=0.48\textwidth]{imgb.jpeg} \caption{\code{imgk}, \code{imgb}} \end{center} \end{figure} \pagebreak \newpage \section{Image filtering} Images can be linearly filtered using \code{filter2}. \code{filter2} convolves the image with a matrix filter. Linear filtering is useful to perform low-pass filtering (to blur images, remove noise, ...) and high-pass filtering (to detect edges, sharpen images, ...). Various filter shapes can be generated using \code{makeBrush}. <>= flo = makeBrush(21, shape='disc', step=FALSE)^2 flo = flo/sum(flo) imgflo = filter2(imgc, flo) fhi = matrix(1, nc=3, nr=3) fhi[2,2] = -8 imgfhi = filter2(imgc, fhi) @ <>= writeImage(imgflo, 'imgflo.jpeg', quality=85) writeImage(imgfhi, 'imgfhi.jpeg', quality=85) @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.48\textwidth]{imgflo.jpeg} \includegraphics[width=0.48\textwidth]{imgfhi.jpeg} \caption{Low-pass filtered \code{imgflo} and high-pass filtered \code{imgfhi}} \end{center} \end{figure} \pagebreak \newpage \section{Morphological operations} Binary images are images where the pixels of value 0 constitute the background and the other ones constitute the foreground. These images are subject to several non-linear mathematical operators called morphological operators, able to \code{erode} and \code{dilate} an image. <>= ei = readImage(system.file('images', 'shapes.png', package='EBImage')) ei = ei[110:512,1:130] display(ei) kern = makeBrush(5, shape='diamond') eierode = erode(ei, kern) eidilat = dilate(ei, kern) @ <>= writeImage(ei, 'ei.png') writeImage(kern, 'kern.png') writeImage(eierode, 'eierode.png') writeImage(eidilat, 'eidilat.png') @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.48\textwidth]{ei.png}\\{\tiny $ $}\\ \includegraphics[width=0.48\textwidth]{eierode.png}\\{\tiny $ $}\\ \includegraphics[width=0.48\textwidth]{eidilat.png} \caption{\code{ei} ; \code{eierode} ; \code{eidilat}} \end{center} \end{figure} \pagebreak \newpage \section{Segmentation} Segmentation consists in extracting objects from an image. The function \code{bwlabel} is a simple function able to extract every connected sets of pixels from an image and relabel these sets with a unique increasing integer. \code{bwlabel} can be used on binary images and is useful after thresholding. <>= eilabel = bwlabel(ei) cat('Number of objects=', max(eilabel),'\n') nuct = nuc[,,1]>0.2 nuclabel = bwlabel(nuct) cat('Number of nuclei=', max(nuclabel),'\n') @ <>= writeImage(eilabel/max(eilabel), 'eilabel.png') writeImage(nuclabel/max(nuclabel), 'nuclabel.png') @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.48\textwidth]{ei.png} \includegraphics[width=0.48\textwidth]{eilabel.png} \end{center} \caption{\code{ei}, \code{eilabel/max(eilabel)}} \end{figure} \begin{figure}[!h] \begin{center} \includegraphics[width=0.48\textwidth]{nuc-0.jpeg} \includegraphics[width=0.48\textwidth]{nuclabel.png} \caption{\code{nuc[ , ,1]}, \code{nuclabel/max(nuclabel)}} \end{center} \end{figure} Since the images \code{eilabel} and \code{nuclabel} range from 0 to the number of object they contain (given by \code{max(eilabel)} and \code{max(nucabel)}), they have to be divided by these number before displaying, in order to fit the [0,1] range needed by \code{display}. The grayscale top-bottom gradient observable in \code{eilabel} and \code{nuclabel} is due to the way \code{bwlabel} labels the connected sets, from top-left to bottom-right. Adaptive thresholding consists in comparing the intensity of pixels with their neighbors, where the neighborhood is specified by a filter matrix. The function \code{thresh} performs a fast adaptive thresholding of an image with a rectangular window while the combination of \code{filter2} and \code{<} allows a finer control. Adaptive thresholding allows a better segmentation when objects are close together. <>= nuct2 = thresh(nuc[,,1], w=10, h=10, offset=0.05) kern = makeBrush(5, shape='disc') nuct2 = dilate(erode(nuct2, kern), kern) nuclabel2 = bwlabel(nuct2) cat('Number of nuclei=', max(nuclabel2),'\n') @ <>= writeImage(nuclabel2/max(nuclabel2), 'nuclabel2.png') @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.48\textwidth]{nuc-0.jpeg} \includegraphics[width=0.48\textwidth]{nuclabel2.png} \caption{\code{nuc[ , ,1]}, \code{nuclabel2/max(nuclabel)} } \end{center} \end{figure} \pagebreak \newpage \section{Object manipulation} Objects, defined as sets of pixels with the same unique integer value can be outlined and painted using \code{paintObjects}. Some holes are present in objects of \code{nuclabel2} which can be filled using \code{fillHull}. << manip >>= nucgray = channel(nuc[,,1], 'rgb') nuch1 = paintObjects(nuclabel2, nucgray, col='#ff00ff') nuclabel3 = fillHull(nuclabel2) nuch2 = paintObjects(nuclabel3, nucgray, col='#ff00ff') @ <>= writeImage(nuch1, 'nuch1.jpeg', quality=85) writeImage(nuch2, 'nuch2.jpeg', quality=85) @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.48\textwidth]{nuch1.jpeg} \includegraphics[width=0.48\textwidth]{nuch2.jpeg} \caption{\code{nuch1}, \code{nuch2} } \end{center} \end{figure} A broad variety of objects features (basic, image moments, shape, Haralick features) can be computed using \code{computeFeatures}. In particular, object coordinates are computed with the function \code{computeFeatures.moment}. << manip2 >>= xy = computeFeatures.moment(nuclabel3)[, c("m.cx", "m.cy")] xy[1:4,] @ \pagebreak \newpage \section{Cell segmentation example} This is a complete example of segmentation of cells (nucleus + cell bodies) using the functions described before and the function \code{propagate}, able to perform Voronoi-based region segmentation. Images of nuclei and cell bodies are first loaded: << cs1 >>= nuc = readImage(system.file('images', 'nuclei.tif', package='EBImage')) cel = readImage(system.file('images', 'cells.tif', package='EBImage')) img = rgbImage(green=1.5*cel, blue=nuc) @ <>= writeImage(cel, 'cel.jpeg', quality=85) writeImage(img, 'img.jpeg', quality=85) @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.24\textwidth]{nuc-0.jpeg} \includegraphics[width=0.24\textwidth]{nuc-1.jpeg} \includegraphics[width=0.24\textwidth]{nuc-2.jpeg} \includegraphics[width=0.24\textwidth]{nuc-3.jpeg} \caption{\code{nuc}} \end{center} \end{figure} \begin{figure}[!h] \begin{center} \includegraphics[width=0.24\textwidth]{cel-0.jpeg} \includegraphics[width=0.24\textwidth]{cel-1.jpeg} \includegraphics[width=0.24\textwidth]{cel-2.jpeg} \includegraphics[width=0.24\textwidth]{cel-3.jpeg} \caption{\code{cel}} \end{center} \end{figure} \begin{figure}[!h] \begin{center} \includegraphics[width=0.24\textwidth]{img-0.jpeg} \includegraphics[width=0.24\textwidth]{img-1.jpeg} \includegraphics[width=0.24\textwidth]{img-2.jpeg} \includegraphics[width=0.24\textwidth]{img-3.jpeg} \caption{\code{img}} \end{center} \end{figure} Nuclei are first segmented using \code{thresh}, \code{fillHull}, \code{bwlabel} and \code{opening}, which is an \code{erosion} followed by a \code{dilatation}. << cs2 >>= nmask = thresh(nuc, w=10, h=10, offset=0.05) nmask = opening(nmask, makeBrush(5, shape='disc')) nmask = fillHull(nmask) nmask = bwlabel(nmask) @ <>= writeImage(nmask/max(nmask), 'nmask.png') @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.24\textwidth]{nmask-0.png} \includegraphics[width=0.24\textwidth]{nmask-1.png} \includegraphics[width=0.24\textwidth]{nmask-2.png} \includegraphics[width=0.24\textwidth]{nmask-3.png} \caption{\code{nmask/max(nmask)}} \end{center} \end{figure} Cell bodies are segmented using \code{propagate}. << cs3 >>= ctmask = opening(cel>0.1, makeBrush(5, shape='disc')) cmask = propagate(cel, seeds=nmask, mask=ctmask) @ <>= writeImage(cmask/max(cmask), 'cmask.png') @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.24\textwidth]{cmask-0.png} \includegraphics[width=0.24\textwidth]{cmask-1.png} \includegraphics[width=0.24\textwidth]{cmask-2.png} \includegraphics[width=0.24\textwidth]{cmask-3.png} \caption{\code{cmask/max(cmask)}} \end{center} \end{figure} Cells are outlined using \code{paintObjects}. << cs4 >>= res = paintObjects(cmask, img, col='#ff00ff') res = paintObjects(nmask, res, col='#ffff00') @ <>= writeImage(res, 'res.jpeg', quality=85) @ \begin{figure}[!h] \begin{center} \includegraphics[width=0.48\textwidth]{res-0.jpeg} \includegraphics[width=0.48\textwidth]{res-1.jpeg}\\{\tiny$ $}\\ \includegraphics[width=0.48\textwidth]{res-2.jpeg} \includegraphics[width=0.48\textwidth]{res-3.jpeg} \caption{Final segmentation \code{res}} \end{center} \end{figure} \end{document}