Peer-reviewed veterinary case report
Fast elastic simulation method handling topological changes
By Qin Y et al.·2026·View original on Europe PMC →
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Original publication title: CAN: A Curvature-Aware Nesterov Optimizer for Fast Elastic Simulation With Topological Changes.
Plain-English summary
This research focuses on improving the way we simulate elastic objects, like rubber or soft materials, in computer graphics. Traditional methods struggle when the shape of these objects changes, such as when they are cut or broken. The new approach, called CAN, uses advanced techniques to speed up simulations without being limited by the object's shape. It includes two key components that help manage how the simulation progresses, ensuring it remains accurate even as the object changes. Overall, CAN shows better performance than previous methods, making it a promising advancement for creating realistic animations.
Abstract
Fast simulation of elastic bodies is fundamental to computer graphics, yet current leading methods have a key limitation: they require fixed mesh connectivity. Existing methods leverage this assumption to achieve high performance but fail during topological changes such as cutting, fracturing, or merging. We present CAN, a novel optimizer that fundamentally decouples simulation acceleration from mesh topology. CAN introduces two Hessian-free, curvature-aware components: a Curvature-Aware Momentum (CAM) scheme that prevents overshooting by adaptively decaying momentum based on local gradient variations, and a Curvature-Aware Line Search (CALS) that provides high-quality step sizes via efficient directional curvature approximations. Since CAN relies solely on per-vertex, historical information, it is inherently parallel and topology-agnostic. We demonstrate that CAN achieves superior convergence compared to prior works across a wide range of dynamic-topology scenarios without any precomputation tied to connectivity, establishing a new paradigm for robust and efficient physics-based animation.
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Search related cases →Original publication on Europe PMC: https://europepmc.org/article/MED/41941765