The mathematical description of the elastic deformation of thin plates can be derived by a dimension reduction from three-dimensional elasticity and leads to the minimization of an energy functional that involves the second fundamental form of the deformation and is subject to the constraint that the deformation is an isometry. We discuss two approaches to the discretization of the second order...

 This paper is concerned with numerical simulation of plastic modes of tubular structures. The simulation incorporates with finite element limit analysis based on the upper bound method and the minimization technique. The analysis considers sequential deformation of structures with work-hardening effects. The simulation results demonstrate plastic buckling is one of the collapse modes and occu...

An aromatic polyimide and its mixture with randomly distributed carbon nanotubes are simulated by using molecular dynamics, repeated energy minimization and cooling processes. The glass transition temperatures are identified through volume-temperature curves. Stress-strain curves, Young’s moduli, volumes and Poisson ratios at different temperatures are computed at different temperatures. It is ...

We propose a purely discrete deformable partition model for segmenting 3D images. Its main ability is to maintain the topology of the partition during the minimization process. To do so, our main contribution is a new definition of multi-label simple points (ML simple point) that is easily computable. An ML simple point can be relabeled without modifying the overall topology of the partition. T...

We present Smart Scribbles—a new scribble-based interface for user-guided segmentation of digital sketchy drawings. In contrast to previous approaches based on simple selection strategies, Smart Scribbles exploits richer geometric and temporal information, resulting in a more intuitive segmentation interface. We introduce a novel energy minimization formulation in which both geometric and tempo...

Curve-pair based deformation is an extension of axial deformation for providing more intuitive and convenient control of object deformation. In this paper, we investigate the problem of direct manipulation of curve-pair based deformation with geometric constraints. With different objective functions, two kinds of constrained optimization problems are derived from the direct manipulation problem...

A method based on mathematical programming is proposed for large deformation and contact analysis of cable networks. By explicitly considering these nonsmooth behaviors, we formulate the linear complementarity problems over symmetric cones under some practically acceptable assumptions. We also present the equivalent second-order cone programming (SOCP) problems, which can be regarded as the min...

We describe the modeling of linear object deformation based on differential geometry and its applications to manipulative operations. A particle-based approach, the finite element method, and the Cosserat theory have been applied to the modeling of linear object deformation. In this paper, we establish an alternative modeling approach based on an extension of differential geometry. First, we ex...