From 37b874e6cf8221fb2e5668dc0ecb6fc69f734707 Mon Sep 17 00:00:00 2001 From: Carlos H Brandt <482051+chbrandt@users.noreply.github.com> Date: Fri, 11 Aug 2023 15:16:50 +0200 Subject: [PATCH 1/4] Update 06-blurring.md Add section about visualizing image blur effects as discussed in #221 --- episodes/06-blurring.md | 136 +++++++++++++++++++++++++++++++++++++++- 1 file changed, 135 insertions(+), 1 deletion(-) diff --git a/episodes/06-blurring.md b/episodes/06-blurring.md index c757a6eb..6eb2bcf0 100644 --- a/episodes/06-blurring.md +++ b/episodes/06-blurring.md @@ -327,7 +327,141 @@ fig, ax = plt.subplots() plt.imshow(blurred) ``` -![](fig/gaussian-blurred.png){alt='Original image'} +![](fig/gaussian-blurred.png){alt='Blurred image'} + +## Visualizing Blurring + +Somebody said once "an image is worth a thousand words". +What is actually happening to the image pixels when we apply blurring may be +difficult to grasp, let's now visualize the effects of blurring from a different +perspective. + +Let's use the petri-dish image from previous episodes: + +![Original Petri dish image](fig/colonies-01.jpg){alt='Bacteria colony'} + +What we want to see here is the pixel intensities from a lateral perspective, +we want to see the profile of intensities . +For instance, let's look for the intensities of the pixels along the horizontal +directory at `Y=150`: + +```python +import matplotlib.pyplot as plt +import imageio.v3 as iio +import skimage.color + +# read colonies color image and convert to grayscale: +# +image = iio.imread('data/colonies-01.tif') +image_gray = skimage.color.rgb2gray(image) + +# define the pixels we want to view the intensities (profile) +# +xmin, xmax = (0, image_gray.shape[1]) +ymin = ymax = 150 + +# view the image indicating the profile pixels position +# +fig,ax = plt.subplots() +ax.imshow(image_gray, cmap='gray') +ax.plot([xmin,xmax], [ymin,ymax], color='red') +``` + +![ +Grayscale Petri dish image marking selected pixels for profiling +](fig/petri-selected-pixels-marker.jpg){ +alt='Bacteria colony image with selected pixels marker' +} + +We are using the grayscale version of the image for simplicity. +The intensity of those pixels we can see with a simple line plot: + +```python +# Just rename our "Y" variables for a better reading +# +Y = ymin = ymax + +# Select the vector of pixels along "Y" +# +image_gray_pixels_slice = image_gray[Y, :] + +# Guarantee the intensity values are in the [0:255] range (unsigned integers) +# +image_gray_pixels_slice = img_as_ubyte(image_gray_pixels_slice) + +fig = plt.figure() +ax = fig.add_subplot() + +ax.plot(image_gray_pixels_slice, color='red') +ax.set_ylim(255, 0) +ax.set_ylabel('L') +ax.set_xlabel('X') +``` + +![ +Intensities profile line plot of pixels along Y=150 in original image +](fig/petri-original-intensities-plot.jpg){ +alt='Pixel intensities profile in original image' +} + +And now, how does the same set of pixels look in the corresponding *blurred* image: + +```python +# First, let's create a blurred version of (grayscale) image +# +from skimage.filters import gaussian + +image_blur = gaussian(image_gray, sigma=3) + +# Like before, plot the pixels profile along "Y" +# +image_blur_pixels_slice = image_blur[Y,:] +image_blur_pixels_slice = img_as_ubyte(image_blur_pixels_slice) + +fig = plt.figure() +ax = fig.add_subplot() + +ax.plot(image_blur_pixels_slice, 'red') +ax.set_ylim(255, 0) +ax.set_ylabel('L') +ax.set_xlabel('X') +``` + +![ +Intensities profile of pixels along Y=150 in *blurred* image +](fig/petri-blurred-intensities-plot.jpg){ +alt='Pixel intensities profile in blurred image' +} + +And that is why *blurring* is also called *smoothing*. +This is how low-pass filters affect neighbouring pixels. + +Now that we saw the effects of blurring an image from +two different perspective, front and lateral, let's take +yet another look using a 3D visualization. + +The code to generate these pictures, though, is out of the +scope of this episode. + +![ +A 3D plot of pixel intensities across the whole Petri dish image before blurring. +[Explore how this plot was created with matplotlib](LINKTOGIST). +Image credit: [Carlos H Brandt](https://github.com/chbrandt/). +](fig/3D_petri_before_blurring.png){ +alt='3D surface plot showing pixel intensities across the whole example Petri dish image before blurring' +} + +![ +A 3D plot of pixel intensities after Gaussian blurring of the Petri dish image. +Note the 'smoothing' effect on the pixel intensities of the colonies in the image, +and the 'flattening' of the background noise at relatively low pixel intensities throughout the image. +[Explore how this plot was created with matplotlib](LINKTOGIST). +Image credit: [Carlos H Brandt](https://github.com/chbrandt/). +](fig/3D_petri_after_blurring.png){ +alt='3D surface plot illustrating the smoothing effect on pixel intensities across the whole example Petri dish image after blurring' +} + + ::::::::::::::::::::::::::::::::::::::: challenge From 01b6418d824f0a51a262245cd571c70d3c425cc3 Mon Sep 17 00:00:00 2001 From: Carlos H Brandt <482051+chbrandt@users.noreply.github.com> Date: Fri, 11 Aug 2023 15:16:50 +0200 Subject: [PATCH 2/4] Update 06-blurring.md to address #221, visualization of image blurring --- episodes/06-blurring.md | 137 +++++++++++++++++- episodes/fig/3D_petri_after_blurring.png | Bin 0 -> 112819 bytes episodes/fig/3D_petri_before_blurring.png | Bin 0 -> 110601 bytes .../fig/petri-blurred-intensities-plot.png | Bin 0 -> 25872 bytes episodes/fig/petri-dish.png | Bin 0 -> 119846 bytes .../fig/petri-original-intensities-plot.png | Bin 0 -> 27789 bytes episodes/fig/petri-selected-pixels-marker.png | Bin 0 -> 114952 bytes 7 files changed, 136 insertions(+), 1 deletion(-) create mode 100644 episodes/fig/3D_petri_after_blurring.png create mode 100644 episodes/fig/3D_petri_before_blurring.png create mode 100644 episodes/fig/petri-blurred-intensities-plot.png create mode 100644 episodes/fig/petri-dish.png create mode 100644 episodes/fig/petri-original-intensities-plot.png create mode 100644 episodes/fig/petri-selected-pixels-marker.png diff --git a/episodes/06-blurring.md b/episodes/06-blurring.md index c757a6eb..c654c05f 100644 --- a/episodes/06-blurring.md +++ b/episodes/06-blurring.md @@ -327,7 +327,142 @@ fig, ax = plt.subplots() plt.imshow(blurred) ``` -![](fig/gaussian-blurred.png){alt='Original image'} +![](fig/gaussian-blurred.png){alt='Blurred image'} + +## Visualizing Blurring + +Somebody said once "an image is worth a thousand words". +What is actually happening to the image pixels when we apply blurring may be +difficult to grasp, let's now visualize the effects of blurring from a different +perspective. + +Let's use the petri-dish image from previous episodes: + +![ +Graysacle version of the Petri dish image +](fig/petri-dish.png){alt='Bacteria colony'} + +What we want to see here is the pixel intensities from a lateral perspective, +we want to see the profile of intensities . +For instance, let's look for the intensities of the pixels along the horizontal +directory at `Y=150`: + +```python +import matplotlib.pyplot as plt +import imageio.v3 as iio +import skimage.color + +# read colonies color image and convert to grayscale: +# +image = iio.imread('data/colonies-01.tif') +image_gray = skimage.color.rgb2gray(image) + +# define the pixels we want to view the intensities (profile) +# +xmin, xmax = (0, image_gray.shape[1]) +ymin = ymax = 150 + +# view the image indicating the profile pixels position +# +fig,ax = plt.subplots() +ax.imshow(image_gray, cmap='gray') +ax.plot([xmin,xmax], [ymin,ymax], color='red') +``` + +![ +Grayscale Petri dish image marking selected pixels for profiling +](fig/petri-selected-pixels-marker.png){ +alt='Bacteria colony image with selected pixels marker' +} + +The intensity of those pixels we can see with a simple line plot: + +```python +# Just rename our "Y" variables for a better reading +# +Y = ymin = ymax + +# Select the vector of pixels along "Y" +# +image_gray_pixels_slice = image_gray[Y, :] + +# Guarantee the intensity values are in the [0:255] range (unsigned integers) +# +image_gray_pixels_slice = img_as_ubyte(image_gray_pixels_slice) + +fig = plt.figure() +ax = fig.add_subplot() + +ax.plot(image_gray_pixels_slice, color='red') +ax.set_ylim(255, 0) +ax.set_ylabel('L') +ax.set_xlabel('X') +``` + +![ +Intensities profile line plot of pixels along Y=150 in original image +](fig/petri-original-intensities-plot.png){ +alt='Pixel intensities profile in original image' +} + +And now, how does the same set of pixels look in the corresponding *blurred* image: + +```python +# First, let's create a blurred version of (grayscale) image +# +from skimage.filters import gaussian + +image_blur = gaussian(image_gray, sigma=3) + +# Like before, plot the pixels profile along "Y" +# +image_blur_pixels_slice = image_blur[Y,:] +image_blur_pixels_slice = img_as_ubyte(image_blur_pixels_slice) + +fig = plt.figure() +ax = fig.add_subplot() + +ax.plot(image_blur_pixels_slice, 'red') +ax.set_ylim(255, 0) +ax.set_ylabel('L') +ax.set_xlabel('X') +``` + +![ +Intensities profile of pixels along Y=150 in *blurred* image +](fig/petri-blurred-intensities-plot.png){ +alt='Pixel intensities profile in blurred image' +} + +And that is why *blurring* is also called *smoothing*. +This is how low-pass filters affect neighbouring pixels. + +Now that we saw the effects of blurring an image from +two different perspective, front and lateral, let's take +yet another look using a 3D visualization. + +The code to generate these pictures, though, is out of the +scope of this episode. + +![ +A 3D plot of pixel intensities across the whole Petri dish image before blurring. +[Explore how this plot was created with matplotlib](LINKTOGIST). +Image credit: [Carlos H Brandt](https://github.com/chbrandt/). +](fig/3D_petri_before_blurring.png){ +alt='3D surface plot showing pixel intensities across the whole example Petri dish image before blurring' +} + +![ +A 3D plot of pixel intensities after Gaussian blurring of the Petri dish image. +Note the 'smoothing' effect on the pixel intensities of the colonies in the image, +and the 'flattening' of the background noise at relatively low pixel intensities throughout the image. +[Explore how this plot was created with matplotlib](LINKTOGIST). +Image credit: [Carlos H Brandt](https://github.com/chbrandt/). +](fig/3D_petri_after_blurring.png){ +alt='3D surface plot illustrating the smoothing effect on pixel intensities across the whole example Petri dish image after blurring' +} + + ::::::::::::::::::::::::::::::::::::::: challenge diff --git a/episodes/fig/3D_petri_after_blurring.png b/episodes/fig/3D_petri_after_blurring.png new file mode 100644 index 0000000000000000000000000000000000000000..5583cd82dc16a2c1a3178f69ecc51cb29681e5f9 GIT binary patch literal 112819 zcmeFYWm_Cy&_2ijfx#`fyF0<%B|va@cXxMpcL?qf+$FfX26uP2o!{<0|7*X)J}>6# 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Date: Fri, 11 Aug 2023 16:23:04 +0200 Subject: [PATCH 3/4] Update 06-blurring.md Add links to 3D plots gist --- episodes/06-blurring.md | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/episodes/06-blurring.md b/episodes/06-blurring.md index c654c05f..96bee9a1 100644 --- a/episodes/06-blurring.md +++ b/episodes/06-blurring.md @@ -329,6 +329,7 @@ plt.imshow(blurred) ![](fig/gaussian-blurred.png){alt='Blurred image'} + ## Visualizing Blurring Somebody said once "an image is worth a thousand words". @@ -446,7 +447,7 @@ scope of this episode. ![ A 3D plot of pixel intensities across the whole Petri dish image before blurring. -[Explore how this plot was created with matplotlib](LINKTOGIST). +[Explore how this plot was created with matplotlib](https://gist.github.com/chbrandt/63ba38142630a0586ba2a13eabedf94b). Image credit: [Carlos H Brandt](https://github.com/chbrandt/). ](fig/3D_petri_before_blurring.png){ alt='3D surface plot showing pixel intensities across the whole example Petri dish image before blurring' @@ -456,7 +457,7 @@ alt='3D surface plot showing pixel intensities across the whole example Petri di A 3D plot of pixel intensities after Gaussian blurring of the Petri dish image. Note the 'smoothing' effect on the pixel intensities of the colonies in the image, and the 'flattening' of the background noise at relatively low pixel intensities throughout the image. -[Explore how this plot was created with matplotlib](LINKTOGIST). +[Explore how this plot was created with matplotlib](https://gist.github.com/chbrandt/63ba38142630a0586ba2a13eabedf94b). Image credit: [Carlos H Brandt](https://github.com/chbrandt/). ](fig/3D_petri_after_blurring.png){ alt='3D surface plot illustrating the smoothing effect on pixel intensities across the whole example Petri dish image after blurring' From adc16d343a5b14c695ca5f52b2c6f416b9bcbc20 Mon Sep 17 00:00:00 2001 From: Carlos H Brandt <482051+chbrandt@users.noreply.github.com> Date: Tue, 15 Aug 2023 14:29:15 +0000 Subject: [PATCH 4/4] Implemented suggestions, fixed typos --- episodes/06-blurring.md | 20 +++++++++++++------- 1 file changed, 13 insertions(+), 7 deletions(-) diff --git a/episodes/06-blurring.md b/episodes/06-blurring.md index 96bee9a1..49d602be 100644 --- a/episodes/06-blurring.md +++ b/episodes/06-blurring.md @@ -330,11 +330,11 @@ plt.imshow(blurred) ![](fig/gaussian-blurred.png){alt='Blurred image'} -## Visualizing Blurring +## Visualising Blurring Somebody said once "an image is worth a thousand words". What is actually happening to the image pixels when we apply blurring may be -difficult to grasp, let's now visualize the effects of blurring from a different +difficult to grasp, let's now visualise the effects of blurring from a different perspective. Let's use the petri-dish image from previous episodes: @@ -346,7 +346,7 @@ Graysacle version of the Petri dish image What we want to see here is the pixel intensities from a lateral perspective, we want to see the profile of intensities . For instance, let's look for the intensities of the pixels along the horizontal -directory at `Y=150`: +at `Y=150`: ```python import matplotlib.pyplot as plt @@ -439,11 +439,17 @@ And that is why *blurring* is also called *smoothing*. This is how low-pass filters affect neighbouring pixels. Now that we saw the effects of blurring an image from -two different perspective, front and lateral, let's take -yet another look using a 3D visualization. +two different perspectives, front and lateral, let's take +yet another look using a 3D visualisation. + +:::::::::::::::::::::::::::::::::::::::::: callout + +### 3D Plots with matplotlib +The code to generate these 3D plots is outside the scope of this lesson +but can be viewed by following the links in the captions. + +:::::::::::::::::::::::::::::::::::::::::::::::::: -The code to generate these pictures, though, is out of the -scope of this episode. ![ A 3D plot of pixel intensities across the whole Petri dish image before blurring.