Abstract:This paper previews a new approach being developed for modeling the dynamic behavior of cloth. This work extends the cloth-particle static draping model of Breen and House to include dynamics, and extends constrained dynamics simulation techniques developed by Witkin, Gleicher and Welch to yield performance enhancements. Fundamental to this approach is a new hierarchical approximation algorithm for constrained dynamics simulation, which it is hoped will reduce the computational time demands of the algorithm to… Show more
“…In this paper, a corotational particle method is presented. It retains the advantage of the previous model [13] that the bending energy continues to be a quadratic function of the particle displacements that are finite; see (3). Furthermore, it can directly employ the physically measured stiffness constants and is applicable to any particle distribution in the form of mapped quadrilateral meshes such as the ones shown in Figure 4.…”
Section: Introductionmentioning
confidence: 94%
“…On the other hand, the mechanistic approach, which is more popular and able to take the fabric properties into account, resorts to the mechanistic principles such as the second law of motion and the virtual work principle. Examples of the approach include various spring-mass [3][4][5][6][7][8][9][10][11][12][13][14][15][16] and finite element models [17][18][19][20][21]. The former models are sometimes known as the interacting particle or simply particle models.…”
SUMMARYFabric drapes are typical large displacement, large rotation but small strain problems. In particle models for fabric drape simulation, the fabric deformation is characterized by the displacements of the particles distributed over the fabric. In this paper, a new particle model based on the corotational concept is formulated. Under the small membrane strain assumption, the bending energy can be approximated as a quadratic function of the particle displacements that are finite. In other words, the tangential bending stiffness matrix is a constant and only the tangential membrane stiffness matrix needs to be updated after each iteration or step. On the other hand, the requirement on the particle alignment is relaxed by interpolating the particle displacement in a patch of nine particles. To account for the membrane energy, a simple and efficient method similar to the three-node membrane triangular element employing the Green strain measure is adopted. With the present model, the predicted drapes appear to be natural and match our daily perception. In particular, circular clothes and circular pedestal that can only be treated laboriously by most particle models can be conveniently considered.
“…In this paper, a corotational particle method is presented. It retains the advantage of the previous model [13] that the bending energy continues to be a quadratic function of the particle displacements that are finite; see (3). Furthermore, it can directly employ the physically measured stiffness constants and is applicable to any particle distribution in the form of mapped quadrilateral meshes such as the ones shown in Figure 4.…”
Section: Introductionmentioning
confidence: 94%
“…On the other hand, the mechanistic approach, which is more popular and able to take the fabric properties into account, resorts to the mechanistic principles such as the second law of motion and the virtual work principle. Examples of the approach include various spring-mass [3][4][5][6][7][8][9][10][11][12][13][14][15][16] and finite element models [17][18][19][20][21]. The former models are sometimes known as the interacting particle or simply particle models.…”
SUMMARYFabric drapes are typical large displacement, large rotation but small strain problems. In particle models for fabric drape simulation, the fabric deformation is characterized by the displacements of the particles distributed over the fabric. In this paper, a new particle model based on the corotational concept is formulated. Under the small membrane strain assumption, the bending energy can be approximated as a quadratic function of the particle displacements that are finite. In other words, the tangential bending stiffness matrix is a constant and only the tangential membrane stiffness matrix needs to be updated after each iteration or step. On the other hand, the requirement on the particle alignment is relaxed by interpolating the particle displacement in a patch of nine particles. To account for the membrane energy, a simple and efficient method similar to the three-node membrane triangular element employing the Green strain measure is adopted. With the present model, the predicted drapes appear to be natural and match our daily perception. In particular, circular clothes and circular pedestal that can only be treated laboriously by most particle models can be conveniently considered.
“…To overcome the performance limits, Baraff and Witkin [11] proposed implicit integration, allowing for large, stable time step. Given a stiff differential equation, an alternative to implicit integration is to reduce the stiff component and reformulate it as a constraint [1,3,[12][13][14]. Provot et al [1] used simple local constraints to restrict the strain to a certain limit.…”
Cloth is a flexible thin material with low stretch. Although large stiffness can reduce stretch to some extent, it degrades numerical computing stability. Introducing effective constraints into the system is another common method to reduce stretch. In this paper, a novel constraint method is deduced and implemented. The bending deformation of cloth is firstly analyzed from micro-mesh view, based on which, constraint method is deduced. Then, constraint is combined with dynamic equation to simulate cloth. Overstretch of cloth is controlled at the same time realistic wrinkles and folds are maintained. Finally, based on this method, some experiments are conducted and the analysis and evaluation are given.
“…In contrast to iterative constraint enforcement, House et al [1996] used Lagrange multipliers with CLM to treat stretching, and presented a hierarchical treatment of the constraint forces. The Lagrange multiplier approach alleviates the difficulties associated with poor numerical conditioning and artificial damping.…”
Many textiles do not noticeably stretch under their own weight. Unfortunately, for better performance many cloth solvers disregard this fact. We propose a method to obtain very low strain along the warp and weft direction using Constrained Lagrangian Mechanics and a novel fast projection method. The resulting algorithm acts as a velocity filter that easily integrates into existing simulation code.
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