Overview
Cloth Simulation usually represents fabric as a mesh whose points respond to gravity, constraints, collisions, and stretch or bend resistance.
ExtendedSource checked
Cloth Simulation
Simulates fabric-like motion with connected particles, constraints, or continuum models.
Quick Facts
Compact metadata for implementation and discovery.
- Category
- Simulation
- Difficulty
- Advanced
- Family
- Deformable Simulation
- Tier
- Extended
- Status
- Verified
- Review
- Source Checked
- Sources
- 1
- Formulas
- 1
- Relationships
- 3
- Code example
- Ready
- Visualization
- Ready
Core Concepts
mesh verticesstretch constraintbend constraintcollision response
Quick facts
Complexity
Runtime and memory behavior at a glance.
Best
O(vertices + constraints)
Average
O(steps * constraints)
Worst
O(steps * constraints)
Space
O(vertices + constraints)
When to Use
- Use when fabric-like deformation is needed and approximate behavior is acceptable.
- Use when game character clothing is a central requirement.
When Not to Use
- Avoid when the material must match measured textile physics exactly.
- Avoid when the timestep, constraints, or stability requirements exceed what the method can handle.
What It Does
- Computes deformable simulation within Deformable Simulation workloads (O(steps * constraints) time, O(vertices + constraints) space).
- Works by Simulates fabric-like motion with connected particles, constraints, or continuum models.
- Maintains key invariants across mesh vertices, stretch constraint, bend constraint.
Use Cases
- Game character clothing
- Animation
- Fabric prototyping
Inputs
- Cloth mesh
- Material parameters
- Forces
- Collision objects
Outputs
- Animated cloth vertex positions
Key Formulas (1)
Distance constraint
C(p1, p2) = length(p1 − p2) − restlength
C(p1, p2) = length(p1 - p2) - rest_lengthMeasures how much a cloth edge violates its rest length.
Pseudocode
- 1.Apply external forces to cloth vertices
- 2.Predict new positions
- 3.Solve stretch and bend constraints
- 4.Resolve collisions
- 5.Update velocities from corrected positions
Canonical Example
- Input
- cloth grid pinned at two corners
- Output
- middle vertices sag downward
- Explanation
- Constraints keep neighboring vertices near their rest distances while gravity pulls the cloth.
Implementation Notes
- Start with stretch constraints before adding bending and self-collision.
- Keep units, timestep size, and state variables explicit in tests.
- Keep a tiny example with expected output beside the implementation.
Common Pitfalls
- Ignoring self-collision can let cloth pass through itself.
- Large timesteps can add energy, damp motion, or make constraints explode.
- Not defining boundary, empty, or degenerate inputs before implementation.
Interactive Mechanism Walkthrough
Iterative Convergence & State TrajectoryShow a cloth grid falling, stretching, and colliding with a sphere.
Step 1 of 5: Apply external forces to cloth vertices
simulation-stateNotes
Realistic cloth needs a balance between stability, stretch resistance, and collision handling.
Sources (1)
What each reference supports for this entry.
Explore Next
Good next jumps from the relationship graph, ranked for useful discovery.
Relationships
View full relationship pageMany cloth simulations represent fabric through mass-spring constraints.
Often paired withPosition Based Dynamics
Cloth simulation often uses PBD-style constraint solving.
Related Algorithms
Tags
SimulationPhysicsSpring SystemConstraint Solving