Is Simulating A Jelly Sandwich Possible? 🦑

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Is Simulating A Jelly Sandwich Possible? 🦑

Two Minute Papers 06.03.2022 150 412 просмотров 5 849 лайков

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❤️ Check out Perceptilabs and sign up for a free demo here: https://www.perceptilabs.com/papers 📝 The paper "Accelerated complex-step finite difference for expedient deformable simulation" is available here: http://www.cad.zju.edu.cn/home/weiweixu/wwxu2019.files/acf.pdf https://dl.acm.org/doi/10.1145/3355089.3356493 ❤️ Watch these videos in early access on our Patreon page or join us here on YouTube: - https://www.patreon.com/TwoMinutePapers - https://www.youtube.com/channel/UCbfYPyITQ-7l4upoX8nvctg/join 🙏 We would like to thank our generous Patreon supporters who make Two Minute Papers possible: Aleksandr Mashrabov, Alex Balfanz, Alex Haro, Andrew Melnychuk, Angelos Evripiotis, Benji Rabhan, Bryan Learn, Christian Ahlin, Eric Martel, Gordon Child, Ivo Galic, Jace O'Brien, Javier Bustamante, John Le, Jonas, Jonathan, Kenneth Davis, Klaus Busse, Lorin Atzberger, Lukas Biewald, Matthew Allen Fisher, Michael Albrecht, Michael Tedder, Nikhil Velpanur, Owen Campbell-Moore, Owen Skarpness, Rajarshi Nigam, Ramsey Elbasheer, Steef, Taras Bobrovytsky, Thomas Krcmar, Timothy Sum Hon Mun, Torsten Reil, Tybie Fitzhugh, Ueli Gallizzi. If you wish to appear here or pick up other perks, click here: https://www.patreon.com/TwoMinutePapers Thumbnail background design: Felícia Zsolnai-Fehér - http://felicia.hu Meet and discuss your ideas with other Fellow Scholars on the Two Minute Papers Discord: https://discordapp.com/invite/hbcTJu2 Károly Zsolnai-Fehér's links: Instagram: https://www.instagram.com/twominutepapers/ Twitter: https://twitter.com/twominutepapers Web: https://cg.tuwien.ac.at/~zsolnai/

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Intro

Dear Fellow Scholars, this is Two Minute Papers with Dr. Károly Zsolnai-Fehér. Today we are going to torment a virtual armadillo, become happy, or sad depending on which way we are bending, create a ton of jelly sandwiches, design a crazy bridge, and more.

Intro

Dear Fellow Scholars, this is Two Minute Papers with Dr. Károly Zsolnai-Fehér. Today we are going to torment a virtual armadillo, become happy, or sad depending on which way we are bending, create a ton of jelly sandwiches, design a crazy bridge, and more.

What is this

So, what is going on here? Well, this new paper helps us enhance our physics simulation programs by improving how we evaluate derivatives. Derivatives describe how things change. Now, of course, evaluating derivatives is not new. It’s not even old. It is ancient. Here you see an ancient technique for this, and it works well most of the time…but whoa! Well, this simulation

What is this

So, what is going on here? Well, this new paper helps us enhance our physics simulation programs by improving how we evaluate derivatives. Derivatives describe how things change. Now, of course, evaluating derivatives is not new. It’s not even old. It is ancient. Here you see an ancient technique for this, and it works well most of the time…but whoa! Well, this simulation

Reference simulation

blew up in our face, so, yes, it may work well most of the time, but unfortunately, not here. Now, if you are wondering what should be happening in this scene. Here is the reference simulation that showcases what should have happened. Yes, this is the famous pastime of the computer graphics researcher, tormenting virtual objects basically all day long. So, I hope you are enjoying this reference simulation. Because this is a great reference simulation. It is as reference as a simulation can get. Now, I hope you know what’s coming. Hold on to your papers, because this is not the reference simulation. What you see here is the new technique described in this paper. Absolutely amazing. Actually, let’s compare the two. This is the reference simulation, for real this time, and this is the new, complex step finite difference method. The two are so close that they are essentially the same. I love it. So good. Now, if the comparison made you hungry, of course, we can proceed to the jelly sandwiches. Here is

Reference simulation

blew up in our face, so, yes, it may work well most of the time, but unfortunately, not here. Now, if you are wondering what should be happening in this scene. Here is the reference simulation that showcases what should have happened. Yes, this is the famous pastime of the computer graphics researcher, tormenting virtual objects basically all day long. So, I hope you are enjoying this reference simulation. Because this is a great reference simulation. It is as reference as a simulation can get. Now, I hope you know what’s coming. Hold on to your papers, because this is not the reference simulation. What you see here is the new technique described in this paper. Absolutely amazing. Actually, let’s compare the two. This is the reference simulation, for real this time, and this is the new, complex step finite difference method. The two are so close that they are essentially the same. I love it. So good. Now, if the comparison made you hungry, of course, we can proceed to the jelly sandwiches. Here is

Jelly sandwich simulation

the same scene simulated with a bunch of previous techniques, and…my goodness! All of them look different! So, which of these jelly sandwiches is better? Well, the new technique is better, because this is the only one that preserves volume properly. This is the one that gets us the most jelly. With each of the other methods, the jelly either reacts incorrectly, or at the end of the simulation, there is less jelly than the amount we started with. Now, you are probably asking, is this really possible? Yes, yes it is! What’s more, this is not only possible, but this is a

Jelly sandwich simulation

the same scene simulated with a bunch of previous techniques, and…my goodness! All of them look different! So, which of these jelly sandwiches is better? Well, the new technique is better, because this is the only one that preserves volume properly. This is the one that gets us the most jelly. With each of the other methods, the jelly either reacts incorrectly, or at the end of the simulation, there is less jelly than the amount we started with. Now, you are probably asking, is this really possible? Yes, yes it is! What’s more, this is not only possible, but this is a

Is this really possible

widespread problem in physics simulation. Our seasoned Fellow Scholars had seen this problem in many previous episodes, for instance, here is one with the tragedy of the disappearing bunnies. And, preserving the volume of the simulated materials is not only useful for jelly sandwiches. It is also useful for doing extreme yoga. Look - here are a bunch of previous techniques trying to simulate this, and, what do we see? Extreme bending, extreme bending… and more extreme bending. Good I guess? Well, not quite! This yoga shouldn’t be nearly as extreme as we see here. The new technique reveals that this kind of bending shouldn’t happen given these material properties. And wait, here comes one of my favorites. The new technique can also deal with this

Is this really possible

widespread problem in physics simulation. Our seasoned Fellow Scholars had seen this problem in many previous episodes, for instance, here is one with the tragedy of the disappearing bunnies. And, preserving the volume of the simulated materials is not only useful for jelly sandwiches. It is also useful for doing extreme yoga. Look - here are a bunch of previous techniques trying to simulate this, and, what do we see? Extreme bending, extreme bending… and more extreme bending. Good I guess? Well, not quite! This yoga shouldn’t be nearly as extreme as we see here. The new technique reveals that this kind of bending shouldn’t happen given these material properties. And wait, here comes one of my favorites. The new technique can also deal with this

Hyperelastic Material

crazy example. Look, a nice little virtual hyperelastic material, where the bending energy changes depending on the bending orientation, revealing a secret. Or, two secrets, as you see, it does not like bending to the right so much, but bending towards the left, now we’re talking! And, it can also help us perform inverse design problems. For instance,

Hyperelastic Material

crazy example. Look, a nice little virtual hyperelastic material, where the bending energy changes depending on the bending orientation, revealing a secret. Or, two secrets, as you see, it does not like bending to the right so much, but bending towards the left, now we’re talking! And, it can also help us perform inverse design problems. For instance,

Inverse Design

here we have a hyperelastic bridge built from over 20 thousand parts. And here, we can design what vibration frequencies should be present when the wind blows at our bridge. And here comes the coolest part - we can choose this in advance, and then, the new technique quickly finds the suitable geometry that will showcase the prescribed vibration types. It pretty much converges after 4 to 6 Newton iterations. What does that mean?

Inverse Design

here we have a hyperelastic bridge built from over 20 thousand parts. And here, we can design what vibration frequencies should be present when the wind blows at our bridge. And here comes the coolest part - we can choose this in advance, and then, the new technique quickly finds the suitable geometry that will showcase the prescribed vibration types. It pretty much converges after 4 to 6 Newton iterations. What does that mean?

Newton iterations

Yes, it means that the new technique comes up with an initial guess, and it needs to refine it only 4 to 6 times until it comes up with an excellent solution.

Newton iterations

Yes, it means that the new technique comes up with an initial guess, and it needs to refine it only 4 to 6 times until it comes up with an excellent solution.

Summary

So, better hyperelastic simulations, quickly and conveniently? Yes please, sign me up right now! And, what would you use this for? Let me know in the comments below!

Summary

So, better hyperelastic simulations, quickly and conveniently? Yes please, sign me up right now! And, what would you use this for? Let me know in the comments below!

Outro

Thanks for watching and for your generous support, and I'll see you next time!

Outro

Thanks for watching and for your generous support, and I'll see you next time!

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