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IC16: Utilization of Mathematical Modle Collections For Multidisciplinary Research And Knowledge Transfer

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Erkannte Entitäten
actually the whole thing that you in the whereas the
true and the and so thank you for inviting me for the talk I'm talking about old stuff old mathematical models and how we try to bring them into the
21st century and what we want to do with those models and and since the study watched on on was the 1st to talk this morning I'm very much connected to the history in Munich and he banned all the historical models to the cellar and to something else interactively no not all of them not all of them had huge collection of the rich history and he is the person personification of transferring to
the yeah 2 uh nowadays located but what I'm talking about them I'm talking about a collection of mathematical models
and here's a and this presentation in Munich buying but a dyke and again a connection to the German Museum but type was 1 of the founders of the German Museum and he did this collection them off mathematical models in the late 19th century to present them to the Conference for all of mathematics and and this is 1 the mathematician presented then photographs with a mathematical model so you can see it mathematical models as part of a national as German on notion was important for for the teaching and understanding of mathematics but now I to a teacher and trained as an architect and I get a different look on the map onto the mathematical models I am working with and and and there are some artists who have looked on mathematical models as well like memory you see the scene famous photographs of thin now this is a mathematical model photographed by Man Ray
and this is what they did in Paris in 1936 in Germany something else went on but they did and said surrealistic art and
did its editions with mathematical models and the and something that's
and even today artists like you is we would rule out working with that mathematical models and this is my work on excessive to mathematical models so it's the same model you see in and several photographs now and this is done for an exhibition we did in the is in 2008 was the year of Mathematics and have we
showed mathematical models in connection with arts with with young artists and the tradition is clearly like non-call was inspired by mathematical models in Munich and his brother and peeves and also worked with mathematical models all the history we're connected to policy as
well so it's going on and on its connection and interaction with
mathematical models and those mathematical models of part of the collection and use this so what you wanna do is to bring
them into use to interact with the models and show that they are
in Houston architecture like 2nd of from year by committee
and also in Berlin had to bring an example from the land and to their meaning a
similar part of the collection so the 1st
thing was in exhibit and then the reconstructs lost models with 3 D printing all this stuff to bring the models back into presence
and there's also an GPS land mathematically where we have a lot of mathematical exhibits in like a couple can wouldn't of cold true not like this so huge exhibits as well and and teaching
activities with with students of architecture for working with the models and try to not get designs from it yeah like this I mean the the what I'm working on right now but I'm presenting as that digital digital didn't tell are kind of medical mathematical models did italicization matematician wouldn't fit if you much easier so this is a the the this archive um
it tries to presented 3 D models of the of the mathematical models of the material models and tries to not only simulate the mathematics
but to bring their culture and culture cultural heritage to you
to own see the material how they have been used and so on so what we are providing right now is an online framework for the presentation of mathematical models material mathematical models pipelines for the 3 D digitization of material models and with different material properties examples from the collections in recent and from a period of more than 100 years and the framework called media books this is the most interesting part probably which enables additional 3 D content yet to be developed and my talk is also an invitation for you to the part of the done Digital Archive of mathematical models we've got search functions that care for multidisciplinary research only mathematical point of view and
so we found out that this is a new approach by
digitization to work with the material models like the true cutting and so on so the material and
diversity is so big that we have to use different approaches for the digitization process and it's very easy to do with the plaster models like the left about and but it's very hard to deal with extreme models for example and I can just give you an
impression how we do it with the plaster models we do 3 D scans with an industrial and business cannot know it's and the it's not a laser scanner about with light beams and we only get point cloud and this point laid on the texture of this point cloud is very detailed as you can see from these images and then we create and UV map and on the severe that we finally and the texture and this pictures taken by some full-frame camera with our own set up and but for the grammar tree and other techniques we applied a very detailed Texture onto the models this is just an impression of the the workflow we created we tried to use mostly open source components so everybody is invited to do this I know there are many attempts to capture and 3 D models the the recent years so there are a lot of tricks and some difficulties because of the different materials and models yeah so this is what it looks like finally
and I give the impression from the website interest alluded and you the resolution of awkward we've got a president and search and so only in germany at the moment and not very happy with the resolution yeah yeah so yeah and it interesting always point monarchist during such things on its own so as this find really OK the so this is 1 of the 3 D visualizations we create a with no plot and it's just the current web technologies like at Yale and actually this framework called the media reports which uses hot and no JavaScript and that you and there are other options like some special rotations according to cutting and you can move this this is realized that the the cutting plane from the camera so 1st sense we've got a lot of models in the pipeline that are ready to be published this just the beginning when you're going to models you can see there are only a few with a 3 D presentation the rest as only with photographs so we've got some 100 models and uploaded there are more to come and this the interesting thing is how can we deal with how can we deal with our 3 D models how can we
use that we can intersect them we can add additional lines or curves like here and you can connect the models and 1 if few in frame and you can change the light source and whatever you can bring it into I mean to another continent but what can we do with string models a string model with the representation from a catalog we also digitizing gray legit witches catalogs and so you have access to sources that are not usually accessible wire and libraries and the 3 D REST representation looks like this can now come how did we do of 3 D representation this model it's just modeled in a 3 D environment so we scanned on a flatbed scanner the model and
reconstructed the strings With the tubes so this is faster and working finds the closest we could get to our and historical model but is only in addition to the photographs and tries to the to keep up with the
3 D experience when interacting with models I get back to the presentation but very
close to the end so what we want is the digital archive of mathematical models dumb and we want additional collections from other institutions to take that to be part of it hopefully internationally and we want to use and download downloadable 3 D . 2 models we want to have about export functions to do your own research technical features for kinetic the movable models and so on to and we want to have additional collections like crystallography and physics to be connected to the mere mathematical models collection
so it's very short step especially here to think of cell phone being connected to the unbridled models to have connections between the model categories and of course there's still mathematical models to be produced for the 3 D printing it's not only historical and models like in the upper and photograph but also new models that we would like to integrate into our huge collection about this presented the out but OK and other the options to disseminated OK so I'm ready with much more can't you was genes and
just 1 question uh the new framework how would you deal with kinematic models and does not yet developed so at any ideas that will go into the anode no technical ideas at the moment but I'm hoping for an inspiration so I know what is your business model or the lab sales some of his sculptures uh as but found no you going to follow
on the city project and this is funded by the German Research in DFT in the German Research Foundation at the moment and we hope to continue this research during the next period so we own non-profit and we would like just would like to provide those started out as
a research part of this the main thing so there's no business because someone is presenting models in the collection that can be bought and on another forum that's not our business it's
something else thank OK thank you
Prozess <Physik>
Familie <Mathematik>
Diskrete Fourier-Transformation
Imaginäre Zahl
Gerichteter Graph
Numerisches Modell
Schnitt <Graphentheorie>
Lineares Funktional
Kategorie <Mathematik>
Gleitendes Mittel
Arithmetisches Mittel
Projektive Ebene
Explosion <Stochastik>
Auflösung <Mathematik>
Kombinatorische Gruppentheorie
Zusammenhängender Graph
Inhalt <Mathematik>
Einfach zusammenhängender Raum
Thermodynamisches System
Materialisation <Physik>
Numerisches Modell


Formale Metadaten

Titel IC16: Utilization of Mathematical Modle Collections For Multidisciplinary Research And Knowledge Transfer
Serientitel Imaginary Conference 2016
Teil 4
Anzahl der Teile 26
Autor Lordick, Daniel
Lizenz CC-Namensnennung 3.0 Deutschland:
Sie dürfen das Werk bzw. den Inhalt zu jedem legalen Zweck nutzen, verändern und in unveränderter oder veränderter Form vervielfältigen, verbreiten und öffentlich zugänglich machen, sofern Sie den Namen des Autors/Rechteinhabers in der von ihm festgelegten Weise nennen.
DOI 10.5446/33869
Herausgeber Imaginary gGmbH
Erscheinungsjahr 2016
Sprache Englisch

Inhaltliche Metadaten

Fachgebiet Mathematik
Abstract Collections of mathematical models are a historical evidence for “notion” (comprehension by experience), they are a cultural heritage and in recent years appreciated as scientific sources. Since the models are often hidden in single Institutes, it is rewarding to make them accessible via online research. In DAMM (Digital Archive of Mathematical Models) we used the latent 3D-Web-technologies to compensate the lack of physical presence. This approach facilitates virtual cutting and the connection of material models with computer algebra systems.

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