The author studies the boundary value problems for systems of nonlinear second order differential dmerence equstions and adopts a new-type Nagumo conditinn, in which the controlfunction is a vector-Valued function of ...The author studies the boundary value problems for systems of nonlinear second order differential dmerence equstions and adopts a new-type Nagumo conditinn, in which the controlfunction is a vector-Valued function of several variables and which can guarsntee simultaneously and easily finding a priori bounds of eaCh component of the deriVatives of the solutions.Under this new-type Nagumo condition the existence results of solution are proved by meansof differential inopality technique.展开更多
Character models have enormous applications in industry.Efficient creation of detailed character models is an important topic.This paper proposes a new and easy-to-use technique to quickly create detailed character mo...Character models have enormous applications in industry.Efficient creation of detailed character models is an important topic.This paper proposes a new and easy-to-use technique to quickly create detailed character models from sketches.The proposed technique consists of two main components:primitive deformer and shape generators.With this technique,2D silhouette contours of a character model are drawn or extracted from an image or sketch.Then,proper geometric primitives are selected and aligned with the corresponding 2D silhouette contours.After that,a primitive deformer is used to create a base mesh and three shape generators are used to add 3D details to the base mesh.The primitive deformer and three shape generators are developed from ODE-driven deformations.The primitive deformer deforms the aligned geometric primitives to exactly match the 2D silhouette contours in one view plane and obtains a base mesh of a character model consisting of deformed primitives.The shape generators are used to add 3D details to the base mesh by creating local 3D models.The experimental results demonstrate that the new technique can quickly create detailed 3D character models from sketches with few manual operations.The new technique is physics-based and easy to learn and use.展开更多
文摘The author studies the boundary value problems for systems of nonlinear second order differential dmerence equstions and adopts a new-type Nagumo conditinn, in which the controlfunction is a vector-Valued function of several variables and which can guarsntee simultaneously and easily finding a priori bounds of eaCh component of the deriVatives of the solutions.Under this new-type Nagumo condition the existence results of solution are proved by meansof differential inopality technique.
基金supported by the PDE-GIR project,which has received funding from the European Union Horizon 2020 research and innovation programme under the Marie Skodowska-Curie grant agreement No.778035by the project PID2021-127073OB-I00 of the MCIN/AEI/10.13039/501100011033/FEDER,EU+1 种基金by the Santander PGR Grantssupported by the Ningbo Major Special Projects of the“Science and Technology Innovation 2025”,grant No.2020Z007.
文摘Character models have enormous applications in industry.Efficient creation of detailed character models is an important topic.This paper proposes a new and easy-to-use technique to quickly create detailed character models from sketches.The proposed technique consists of two main components:primitive deformer and shape generators.With this technique,2D silhouette contours of a character model are drawn or extracted from an image or sketch.Then,proper geometric primitives are selected and aligned with the corresponding 2D silhouette contours.After that,a primitive deformer is used to create a base mesh and three shape generators are used to add 3D details to the base mesh.The primitive deformer and three shape generators are developed from ODE-driven deformations.The primitive deformer deforms the aligned geometric primitives to exactly match the 2D silhouette contours in one view plane and obtains a base mesh of a character model consisting of deformed primitives.The shape generators are used to add 3D details to the base mesh by creating local 3D models.The experimental results demonstrate that the new technique can quickly create detailed 3D character models from sketches with few manual operations.The new technique is physics-based and easy to learn and use.
