Image analysis
https://plus.maths.org/content/taxonomy/term/250
enWhat the eye can't see
https://plus.maths.org/content/what-eye-cant-see
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Carola-Bibiane Schönlieb and the Plus Team </div>
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<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/22_apr_2016_-_1632/trees_icon.jpg?1461342774" /> </div>
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<p>From cancer treatments to counting trees: the maths behind image analysis makes it all possible.</p>
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<div class="rightimage" style="max-width: 281px;"><img src="https://plus.maths.org/content/sites/plus.maths.org/files/articles/2016/carola/trees.jpg" alt="Trees" width="281" height="741" /><p>Top image: An area of English forest. Centre image: Individual trees have been isolated. Bottom image: A 3D version of the isolated tree image. (All images: Juheon Lee)</p><p><a href="https://plus.maths.org/content/what-eye-cant-see" target="_blank">read more</a></p>https://plus.maths.org/content/what-eye-cant-see#commentscreativityImage analysisFri, 22 Apr 2016 16:00:16 +0000mf3446554 at https://plus.maths.org/contentMathematical moments: Carola-Bibiane Schönlieb
https://plus.maths.org/content/mathematical-moments-carola-schonlieb
<p>Carola-Bibiane Schönlieb has a fascinating job: she works on the mathematics behind image analysis. It finds application in all sorts of areas, from medical imaging, such as MRI scans, to forest ecology, which sees scientists trying to gain information about forests from pictures taken from the air.
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<p>In this brief interview Carola tells us why she likes doing maths, recalls some of her favourite mathematical moments, and explains why creativity is essential in mathematics.</p><p><a href="https://plus.maths.org/content/mathematical-moments-carola-schonlieb" target="_blank">read more</a></p>https://plus.maths.org/content/mathematical-moments-carola-schonlieb#commentscreativityImage analysisvideoFri, 22 Apr 2016 15:38:58 +0000mf3446553 at https://plus.maths.org/contentStanley Osher: connecting the disconnected
https://plus.maths.org/content/stanley-osher-joining-discontinuous
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<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/4/16_aug_2014_-_0155/icon.jpg?1408150532" /> </div>
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<p>Stanley Osher has won the 2014 Gauss Prize for his revolutionary impact in areas including medical imaging, sonic booms, movie animation and microchip design and<br />
manufacture.</p>
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<div class="rightimage"><img src="https://plus.maths.org/content/sites/plus.maths.org/files/news/2014/osher/osher.jpg" width="300" height="316" alt="Stanley Osher"/><p>Stanley Osher</p><p><a href="https://plus.maths.org/content/stanley-osher-joining-discontinuous" target="_blank">read more</a></p>https://plus.maths.org/content/stanley-osher-joining-discontinuous#commentscomputer animationICM 2014Image analysismedical imaginingSat, 16 Aug 2014 05:51:50 +0000Rachel6163 at https://plus.maths.org/contentMapping the mind's eye
https://plus.maths.org/content/mapping-minds-eye
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Adam Kucharski </div>
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<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/28_feb_2012_-_1416/icon-2.jpg?1330438592" /> </div>
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Recent discoveries have made it possible to control computer games by thought alone, or work out what kind of item someone is thinking about from their brain signals. And that's not all. Researchers were able to use brain scans to reconstruct what someone was looking at.
In these experiments the scientists were literally able to see what people were thinking. A worrying thought, perhaps. But how did they do it? </div>
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<div class="rightimage" style="width: 350px;"><iframe width="350" height="250" src="http://www.youtube.com/embed/nsjDnYxJ0bo" frameborder="0" allowfullscreen></iframe><p></p></div>
<p>The world is upside down. Or at least, the version that our eyes send to our brain is. The clever trick that happens afterwards, putting everything back the right way up, is one of the first bits of neuroscience that most children learn. But the truly astonishing part — converting the blizzard of neural signals into a mental image of familiar objects — has puzzled researchers for years. </p><p><a href="https://plus.maths.org/content/mapping-minds-eye" target="_blank">read more</a></p>https://plus.maths.org/content/mapping-minds-eye#commentsImage analysislinear algebramedicine and healthWed, 07 Mar 2012 10:46:22 +0000mf3445661 at https://plus.maths.org/contentRestoring profanity
https://plus.maths.org/content/restoring-profanity
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Carola Schönlieb </div>
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<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/issue50/features/schoenlieb/icon.jpg?1235865600" /> </div>
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In 1979 decorating work in a house in Vienna revealed a set of medieval frescoes depicting a cycle of songs by a 13th century poet, who was particularly fond of satirising the erotic relationships between knights and peasant maidens. The frescoes are of great historical significance, but they are badly damaged. In this article <b>Carola Schönlieb</b> explores how mathematicians use the heat
equation to fill in the gaps. </div>
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<div class="pub_date">March 2009</div>
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<p>In the late 14th century Michel Menschein, a wealthy Viennese cloth merchant, commissioned local artists to paint a series of frescoes on the walls of his banqueting hall. The paintings depicted a cycle of songs by <a href="http://en.wikipedia.org/wiki/Neidhart_von_Reuental">Neidhart von Reuental</a>, a 13th century <i>minnesinger</i>, who was particularly fond of satirising the erotic
relationships between knights and peasant maidens.<p><a href="https://plus.maths.org/content/restoring-profanity" target="_blank">read more</a></p>https://plus.maths.org/content/restoring-profanity#comments50CMSdifferential equationdigital photographyImage analysismathematics and artpartial differential equationSun, 01 Mar 2009 00:00:00 +0000plusadmin2355 at https://plus.maths.org/contentSaving lives: the mathematics of tomography
https://plus.maths.org/content/saving-lives-mathematics-tomography
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Chris Budd and Cathryn Mitchell </div>
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<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/issue47/features/budd/icon.jpg?1212274800" /> </div>
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Not so long ago, if you had a medical complaint, doctors had to open you up to see what it was. These days they have a range of sophisticated imaging techniques at their disposal, saving you the risk and pain of an operation. <b>Chris Budd and Cathryn Mitchell</b> look at the maths that isn't only responsible for these medical techniques, but also for much of the digital revolution. </div>
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<div class="pub_date">June 2008</div>
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<div style="position: relative; left: 50%; width: 70%"><font size="2"><i>Back to the <a href="https://plus.maths.org/content/do-you-know-whats-good-you-maths-next-microscope">Next microscope package </a><br>Back to the <a href="https://plus.maths.org/content/do-you-know-whats-good-you-0">Do you know what's good for you package</a><p><a href="https://plus.maths.org/content/saving-lives-mathematics-tomography" target="_blank">read more</a></p>https://plus.maths.org/content/saving-lives-mathematics-tomography#comments47CAT scandifferential equationFourier analysisFourier transformfrequencyImage analysismedicine and healthwaveSat, 31 May 2008 23:00:00 +0000plusadmin2328 at https://plus.maths.org/contentLet there be light... (but not too much!)
https://plus.maths.org/content/let-there-be-light-not-too-much
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<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/latestnews/jan-apr04/contrast/icon.jpg?1085007600" /> </div>
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Aquire the skills of a professional photographer thanks to some mathematical manipulation of your digital photos. </div>
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<div class="pub_date">20/05/2004</div>
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<p>Excitedly, you download the latest batch of photos off your digital camera only to find that last week's picnic watching a sensational sunset is shrouded in darkness, and your friend appreciating the view out of the window is reduced to a silhouette against a glaring sky.</p><p><a href="https://plus.maths.org/content/let-there-be-light-not-too-much" target="_blank">read more</a></p>https://plus.maths.org/content/let-there-be-light-not-too-much#commentscontrastdigital photographyGaussian blurImage analysisWed, 19 May 2004 23:00:00 +0000plusadmin2672 at https://plus.maths.org/contentAncient maths recovered
https://plus.maths.org/content/ancient-maths-recovered
<div class="pub_date">March 2001</div>
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<div class="rightimage" style="width: 200px;"><img src="/issue14/news/papyri/papyrus.jpg" alt="A papyrus" width="200" height="345" /></div>
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<p>Mathematical works that have been lost for two thousand years will soon be restored, along with hundreds of other works of ancient Greek and Latin authors, through the use of new imaging technology.</p><p><a href="https://plus.maths.org/content/ancient-maths-recovered" target="_blank">read more</a></p>https://plus.maths.org/content/ancient-maths-recovered#commentsImage analysismultispectral imagingThu, 01 Mar 2001 00:00:00 +0000plusadmin2789 at https://plus.maths.org/contentImage analysis - a modern application of mathematics
https://plus.maths.org/content/image-analysis-modern-application-mathematics
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Julian Stander </div>
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<img class="imagefield imagefield-field_abs_img" width="109" height="110" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/issue4/stander/icon.jpg?883612800" /> </div>
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New technology has provided us with some amazing images - satellite images, medical images, even images beamed back from Mars. <b>Julian Stander</b> tells us about the increasing role of statistics in interpreting them. </div>
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<div class="pub_date">January 1998</div>
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<p>Images are everywhere, and electronic images in particular are playing an increasingly important role in everyday life. Doctors in hospitals use X-ray pictures to check for broken bones. Meteorologists employ images from satellites to help forecast the weather. Law enforcement officers study aerial photographs to find out where drug crops are being grown.</p><p><a href="https://plus.maths.org/content/image-analysis-modern-application-mathematics" target="_blank">read more</a></p>https://plus.maths.org/content/image-analysis-modern-application-mathematics#comments4bayes theoremImage analysismathematical modellingThu, 01 Jan 1998 00:00:00 +0000plusadmin2143 at https://plus.maths.org/content