Presentation
A Nonconforming Formulation of Cloth
DescriptionState-of-the-art cloth simulations rely on linear triangular elements in mass-
spring or continuum based finite element formulations. These methods
typically decompose the surface energy density into in-plane (shearing and
stretching) and out-of-plane (bending) components, with bending energies
modeled using discrete mean curvature measures. While effective, they are
prone to mesh-dependent behavior and locking. Higher-order formulations
can mitigate these issues, but their adoption poses significant challenges
due to the requirement for continuity of basis functions’ derivatives across
element boundaries to accurately represent surface curvature. We introduce
a novel continuum-based approach that addresses the limitations of existing
methods without requiring globally smooth (𝐻 2-continuous) basis functions.
Our method uses non-conforming function spaces and weakly enforces the
continuity of tangent basis through carefully derived interface terms. In
fact, the proposed method builds on Interior Penalty methods, which we
adapt to effectively handle simulations of curved surfaces. Our approach uses
standard Lagrangian basis functions, and supports straightforward extension
to high-order bases, while adhering to the in-plane/out-of-plane decoupling
paradigm widely adopted in cloth simulation. We demonstrate the robustness
and versatility of our method through garment simulations, illustrating its
ability to handle complex deformations and a variety of bending behaviors
with high fidelity.
spring or continuum based finite element formulations. These methods
typically decompose the surface energy density into in-plane (shearing and
stretching) and out-of-plane (bending) components, with bending energies
modeled using discrete mean curvature measures. While effective, they are
prone to mesh-dependent behavior and locking. Higher-order formulations
can mitigate these issues, but their adoption poses significant challenges
due to the requirement for continuity of basis functions’ derivatives across
element boundaries to accurately represent surface curvature. We introduce
a novel continuum-based approach that addresses the limitations of existing
methods without requiring globally smooth (𝐻 2-continuous) basis functions.
Our method uses non-conforming function spaces and weakly enforces the
continuity of tangent basis through carefully derived interface terms. In
fact, the proposed method builds on Interior Penalty methods, which we
adapt to effectively handle simulations of curved surfaces. Our approach uses
standard Lagrangian basis functions, and supports straightforward extension
to high-order bases, while adhering to the in-plane/out-of-plane decoupling
paradigm widely adopted in cloth simulation. We demonstrate the robustness
and versatility of our method through garment simulations, illustrating its
ability to handle complex deformations and a variety of bending behaviors
with high fidelity.
Event Type
Technical Papers
TimeTuesday, 16 December 20253:34pm - 3:45pm HKT
LocationMeeting Room S423+S424, Level 4