Computing the Inertia Tensor of a Triangle Mesh in C/C++ | Devlog Episode 6
I implemented a function that computes the inertia tensor of an arbitrary closed, non-overlapping triangle mesh with consistent face orientations in C/C++. The algorithm is based on three papers of which I explain the necessary derivations. Take a look at a C version of the code here https://github.com/blackedout01/simkn Join my Discord server / discord Links to the listed references Fast and Accurate Computation of Polyhedral Mass Properties https://www.cs.upc.edu/~virtual/SGI/d... the accompanying code can be downloaded on this website https://people.eecs.berkeley.edu/~jfc... Efficient Feature Extraction for 2D/3D Objects in Mesh Representation http://chenlab.ece.cornell.edu/Public... Explicit Exact Formulas for the 3-D Tetrahedron Inertia Tensor in Terms of its Vertex Coordinates https://thescipub.com/pdf/jmssp.2005.... Additional references Polyhedral Mass Properties (Revisited) https://www.geometrictools.com/Docume... Vector fields and divergence explained visually (not the actual title) • Divergence and curl: The language of Maxw... The divergence theorem figure was taken from the corresponding article on Wikipedia https://en.wikipedia.org/wiki/Diverge... Outro music by @coffeedatelofi • HYRULE CAFÉ ☕️ a cozy lofi Zelda mix by Co... Thank you for letting people like me use your song in their videos. I like the corresponding album a lot and think that Skyloft is particularly underrated. 0:00 Intro 0:41 Fast and Accurate Computation of Polyhedral Mass Properties 9:31 Integral reduction alternative (signed sum) 12:14 Inertia of a general tetrahedron 19:51 Implementation for the given origin 24:01 Transformation to center of mass 28:06 Implementation for the center of mass 28:31 Applying the code 30:19 Results and comparisons 35:55 Code on GitHub 37:39 The end #physics #simulation #gamedev
Deriving 3D Rigid Body Physics and implementing it in C/C++ (with intuitions)
EEVblog 1752 - Texas Instruments SCREWED UP the NE5532!
Game2 - 006: Font Rendering
Creating my first rolling soft body tire (XPBD) | Devlog Episode 4
Differential equations, a tourist's guide | DE1
Making the Stanford Bunny explode using XPBD | Devlog Episode 2
Writing a soft body cube in C/C++ using XPBD | Devlog Episode 1
Instant Focus Mode – 40Hz Gamma Brainwave Music for Deep Focus & Productivity
Runge-Kutta Integrator Overview: All Purpose Numerical Integration of Differential Equations
Something is jamming GPS over Europe. Here's what we found
System Design Course – APIs, Databases, Caching, CDNs, Load Balancing & Production Infra
But what is quantum computing? (Grover's Algorithm)
I am done with Golang
Learn Dynamic Programming with Animations – Full Course for Beginners
But what is a convolution?
The Most Misunderstood Concept in Physics
A Strange But Elegant Approach to a Surprisingly Hard Problem (GJK Algorithm)
But what is the Fourier Transform? A visual introduction.
Increasing my Soft Body's Bending Resistance using XPBD | Devlog Episode 3
