Computer graphic techniques for modeling fabric

摘要

Method implemented by computer to simulate the movement of a patterned fabric as a particle model, comprising the steps of: fixing deformation units representing parts of the fabric with particles of the particle model positioned on two extremities (Xi, Xj ) of a deformation unit, analyze the movement of the fabric in relation to compression by applying an immediate buckling model to the deformation units, whereby after applying a compression force between the two extremities of a deformation unit , bending deformation of the deformation unit is generated immediately without contraction deformation of the deformation unit being generated, so that a deformation unit immediately experiences bending deformation when said compression force is applied, in which the stage of analysis comprises estimating the shape of the deformation unit after the deformation of bending occurs, calculating a curvature of the deformed deformation unit, the curvature being calculated according merely to a distance between the vertices that are not shared, in which the compression force is obtained by differentiating a bending deformation energy which accumulates during the application of the immediate buckling model, said bending deformation energy being expressed as a function of the distance between the two particles positioned at the extremities of the deformation unit, in which, when the compression force is below of a critical value (Pcr), said compression force approaches linearly in relation to the distance between the two particles positioned at the ends of the deformation unit, characterized in that a deformation unit is modeled with two triangular plates (Ai, Aj), each triangular plate having a particle as one of its vertices, and sharing its other two vertices being with the other triangular plate, and in which the vector of the compression force fi is obtained with: ** Formula ** where kb defines a constant, Ai and Aj respectively define areas of the triangular plates, K defines the curvature of the deformed deformation unit, xij1 defines the distance between the two particles positioned at the extremities of the deformation unit after the bending deformation occurs, L1 defines the distance between the two particles positioned at the extremities of the deformation unit before bending deformation occurs, and ** Formula **