Augmented Vertex Block Descent: A Revolutionary Physics Simulation Method

Augmented Vertex Block Descent (AVBD) is a new, free, and open simulation method that solves previously impossible problems in physics simulation with high accuracy and speed. This technique demonstrates robust performance across complex scenarios where prior methods experienced significant failures.

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Key Points Summary

  • Introduction of AVBD

    Augmented Vertex Block Descent (AVBD) is an amazing new, free, and open simulation method that solves previously impossible problems in physics simulation.

  • Performance of the new method

    A collaboration between Roblox and the University of Utah allows the simulation of complex scenes easily faster than real-time, achieving 100 frames per second on one consumer graphics card.

  • Previous method limitations (VBD)

    Vertex Block Descent (VBD), a previous version, could simulate incredible scenes modeled as interactions of millions of points, but it was not perfect and failed in several baffling cases.

  • Computational effort (iterations)

    The number of iterations refers to the computational effort spent on each frame to achieve accurate simulation results, with higher iterations improving accuracy but requiring longer waiting times.

  • VBD failure: House of Cards

    The previous method incorrectly simulates rolling balls at a house of cards due to an excessive amount of friction, regardless of the number of iterations used.

  • VBD failure: Pendulum simulation

    Old methods completely break down when simulating a simple pendulum where the ball's mass is 50,000 times higher than the chain, causing the chain to stretch excessively like gum.

  • AVBD success: Pendulum simulation

    The new Augmented Vertex Block Descent technique provides a rock-solid and correct solution for the pendulum problem, successfully handling the extreme mass ratio without stretching.

  • VBD failure: Chain mail interaction

    Previous methods incorrectly simulate a ball thrown through chain mail because collision constraints cannot overcome the ball's momentum, despite chain mail being designed to hold the ball.

  • AVBD success: Chain mail interaction

    The new method effectively simulates a ball interacting with chain mail, correctly demonstrating its ability to hold up the ball.

  • VBD failure: Connected blocks with springs

    Even simple arrangements of blocks connected by springs pose a challenge for the previous method, which shows significant sagging even with 100 iterations.

  • AVBD success: Connected blocks with springs

    The new method achieves a near-perfectly straight arrangement for connected blocks with springs, even at 1 iteration, significantly outperforming the previous method at 100 iterations.

  • Mechanism of AVBD

    The 'augmented' part of Augmented Vertex Block Descent means it gradually adjusts how strictly it enforces rules during physics simulation, adapting its effort to the degree a rule is being broken, similar to a bouncer.

  • Accessibility and impact

    This significant improvement occurred in just one year, is powered solely by human ingenuity, and is available for free with source code, making it a great contribution to humanity.

It's the moment you realize even the 'simple' things weren't truly solved, until now.

Under Details

AspectPreviousMethodObservationNewMethodObservationSignificance
Pendulum SimulationChain stretches excessively like gum when a heavy ball is attached to a light chain (50,000:1 mass ratio).Remains rock-solid, providing the correct solution without excessive stretching.Solves a fundamental problem previously considered 'simple' but challenging for old methods due to extreme mass ratios.
Ball Through Chain MailCollision constraints fail to overcome the ball's momentum, leading to incorrect penetration.Successfully holds up the ball, accurately reflecting the physical properties of chain mail.Correctly models complex material interactions and collision responses, where previous methods failed.
Connected Blocks with SpringsShows significant sagging even after 100 iterations, failing to achieve a perfectly straight arrangement.Achieves a near-perfect straight arrangement with just 1 iteration.Demonstrates drastically improved efficiency and accuracy, outperforming previous methods at 100x fewer iterations.
Adaptive Rule Enforcement(Implicit) Rigid enforcement of rules led to simulation failures in challenging scenarios.Gradually adjusts how strictly it enforces physics rules during simulation, adapting to the degree of rule violation.This 'augmented' mechanism is key to AVBD's robustness and accuracy across diverse physical challenges.

Tags

Graphics
Simulation
Groundbreaking
Roblox
Utah
AVBD
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