六面体插值体细分方法研究与应用

细分方法是一种非常有效的表示曲线、曲面和三维体甚至高维数据的手段，针对细分方法新的研究热点问题——体细分实体造型，提出了一种新的基于六面体拓扑网格结构的插值型体细分方法，使用多元情形下生成函数的性质进行了收敛性证明，给出了计算实例；结合离散动力学方程，对细分方法初始控制网格赋予一定的物理属性和运动约束，建立动态细分体变形算法，并将其应用在三维紧身服装穿着时弹性人体变形的实际问题中．     

基于四边形网格的可调细分曲面造型方法

提出了一种基于四边形网格的可调细分曲面造型方法。该方法不仅适合闭域拓扑结构，且对初始网格是开域的也能进行处理。细分算法中引入了可调参数，增加了曲面造型的灵活性。在给定初始数据的条件下，曲面造型时可以通过调节参数来控制极限曲面的形状。该方法可以生成C1连续的细分曲面。试验表明该方法生成光滑曲面是有效的。     

基于细分曲面的鞋楦三维建模和二维展平

本文提出一种针对三维鞋楦的特定三维曲面表示模式和自动展平算法,在鞋楦的三维设计过程中,存在一些特点,我们依据这些特点,设计的三维鞋楦的三维模型是基于B-Spline样条曲线放样生成三维曲面,然后采用四边形方式细分三维曲面,同时建立三维曲面的二维展平.通过OpenGL的实现表明,这是一种快速,适合鞋楦曲面表示的方法.     

Loop细分小波框架对图形传输与去噪的应用

基于细分小波的多分辨率分析是近年来三维图形处理的重要方法,该方法在图形的压缩,去噪,渐近显示和传输,多分辨率绘制和编辑等领域已有很多研究与应用。最近Maria Charina等人提出了一种新的基于细分小波紧框架的多分辨率分析理论,使得细分小波框架在三维图形处理领域的应用成为值得研究的新课题。在深入学习和研究这种全新的多分辨率分析理论的基础上,详细推导了Loop细分小波紧框架的分解和重构公式,应用这些公式实现了多分辨率曲面的构造并将其应用到三维网格图形的渐进传输和去噪中。通过与M.Bertram的双正交Loop细分小波算法的对比,表明基于Loop细分小波紧框架的多分辨率分析算法具有较好的渐进传输和去噪效果。由于通常的输入网格不具有细分连通性,而基于细分曲面的多分辨率分析算法要求它所处理的网格具有这种连通性,所以还特别提出了一种构造既能逼近输入网格又具有细分连通性的网格的简捷算法。     

多分辨率三维建筑群建模与实时绘制技术

将纹理特征分析技术引入到多边形网格建模中,提出一种基于高程特征值进行曲面细分的算法以构建多分辨率虚拟建筑群模型。该算法给出一种三角边与纹理特征曲线相交的三角面分裂方法构造自适应细分三角网格。通过设计细分三角网格的二叉树数据结构和开发测试程序进行测试,表明该算法具有自适应网格速度快和保持几何特征较好的特点,可以满足在PC机上实现三维建筑群的大范围建模和实时交互显示要求。     

Doo-Sabin细分算法在动态模式下的推广

提出一种基于均匀三角多项式B样条的动态保凸细分算法，它可以看作Doo-Sabin细分算法在动态模式下的一个推广．其细分规则基于张量积曲面细分模式的几何意义，不仅可以生成旋转曲面等特殊曲面，而且可以根据参数来控制细分曲面的形状．最后运用传统的离散傅里叶技术和特征根方法证明了该细分算法的收敛性．     

散乱数据点的细分曲面重建算法及实现

提出一种对海量散乱数据根据给定精度拟合出无需裁剪和拼接的、反映细节特征的、分片光滑的细分曲面算法．该算法的核心是基于细分的局部特性，通过对有特征的细分控制网格极限位置分析，按照拟合曲面与数据点的距离误差最小原则，对细分曲面控制网格循环进行调整、优化、特征识别、白适应细分等过程，使得细分曲面不断地逼近原始数据．实例表明：该算法不仅具有高效性、稳定性，同时构造出的细分曲面还较好地反映了原始数据的细节特征。     

可调自适应三角网格的细分曲面造型方法

为了研究一种简单的有效的细分曲面方法使生成的曲面不仅光滑而且可调,提出了一种面向三角网格的可调自适应细分曲面造型法,该方法通过在传统的Loop细分模式中加入形状控制因子以使生成的曲面形状可调,同时引入二面角作为控制误差来判断相邻三角形夹角是否满足给定的阈值,以此实现自适应细分过程。模拟算例结果表明,该方法不仅能用较少网格获得性能良好的曲面,而且可以通过选取不同的值调整生成曲面形状,满足工程需要。     

基于双参数四点细分法的曲面造型

将双参数四点细分曲线方法进行推广，提出了基于双参数四点细分法的曲面造型方法，并对其收敛性进行了分析。该方法通过对两个参数的适当调节能够较容易地控制极限曲面的形状，极限曲面能够达到C4连续，可以应用到对曲面的连续性要求较高的曲面造型中去。在给定初始数据的条件下，可通过对形状参数的适当选择来实现对极限曲面的形状调整和控制，试验表明该算法生成光滑曲面是有效的。     

织物模拟中的自适应网格剖分研究

本文提出一种在织物模拟中的动态网格剖分方法，针对传统模拟算法中因网格剖分固定和曲面整体网格均匀剖分造成模拟误差与计算耗费，分别从织物物理和几何角度出发，提出在动态模拟过程中的自适应的网格剖分方法。利用模拟过程中曲面片局部形变信息，对网格进行动态剖分与合并，有效提高了模拟效率。经实际应用表明：该算法具有模拟效率高、易于计算机实现等优点，特别在对非均匀形变物体模拟中，该算法从模拟效率和精度均得到满意结果。     

Feature based 3D garment design through 2D sketches

This paper presents a new approach for intuitively modeling a three-dimensional (3D) garment around a 3D human model by two-dimensional (2D) sketches input. Our approach is feature based—every human model has pre-defined features, and the constructed garments are related to the features on human models. Firstly, a feature template for creating a customized 3D garment is defined according to the features on a human model; secondly, the profiles of the 3D garment are specified through 2D sketches; finally, a smooth mesh surface interpolating the specified profiles is constructed by a modified variational subdivision scheme. The resulting mesh surface can be cut and flattened into 2D patterns to be manufactured. Our approach provides a 3D design tool to create garment patterns directly in the 3D space through 2D strokes, which is a characteristic not available in other computer aided garment design systems. The constructed garment patterns are related to the features on a human model, so the patterns can be regenerated automatically when creating the same style of garment for other human models. Our technique can greatly improve the efficiency and the quality of pattern making in the garment industry.     

一个基于多边形轮廓的图像合成方法

该文在讨论了试衣效果CAD的基础上,提出了一个颜色插值算法.另外还给出了一个 基于非均匀B-Spline的平面网格细分算法,解决了衣片的网格划分,纹理映射结果能逼真地反 映衣服的褶皱、明暗、垂感,并且计算简单.最后通过其在图像拼接中的应用表明了纹理映射算 法的有效性.     

基于组织结构的纺织品各向异性建模方法

纺织面料的物理仿真将虚拟现实与纺织CAD相结合,是虚拟服装与试衣系统研究的一项关键技术,纺织品建模也是纺织品真实感模拟的基础及关键工作.在基于物理的粒子系统的基础上,提出各向异性的建模方式.根据织物面料的不同组织方式进行分析,对其进行经纬方向的分离建模.仿真过程分为初始过程的刚性物体模拟和接近平衡时的柔性物质模拟两大步骤.为了在产生逼真表现效果的同时兼顾计算复杂性,构模时引入多分辨率模型.     

一个二次连续的平面网格细分算法及其应用

给出了一种满足二阶连续的平面网格细分算法,该算法利用三次Ｂ－Ｓｐｌｉｎｅ曲线的分割作图思想,计算简单,效果好,已被成功地应用于多个系统中,尤其在服装试衣效果ＣＡＤ中有着特殊的意义,解决了衣片的网格划分。纹理映射结果能逼真地反映衣服的褶皱明暗、垂感;最难描述的裙装、弯曲的袖 及裤得到了有效的解决,该算法将大大改进服装试衣效果ＣＡＤ技术,在相关领域也有着广泛的应用前景和很强的商业价值。     

Interactive virtual try-on clothing design systems

Clothing computer design systems include three integrated parts: garment pattern design in 2D/3D, virtual try-on and realistic clothing simulation. Some important results have been obtained in pattern design and clothing simulation since the 1980s. However, in the area of virtual try-on, only limited methods have been proposed which are applicable to some defined garment styles or under restrictive sewing assumptions. This paper presents a series of new techniques from virtually sewing up complex garment patterns on human models to visualizing design effects through physical-based real-time simulation. We first employ an hierarchy of ellipsoids to approximate human models in which the bounding ellipsoids are optimized recursively. We also present a new scheme for including contact friction and resolving collisions. Four types of user interactive operation are introduced to manipulate cloth patterns for pre-positioning, virtual sewing and later obtaining cloth simulation. In the cloth simulation, we propose a simplified cloth dynamic model and an integration scheme to realize a high quality real-time cloth simulation. We demonstrate the robustness of our proposed systems by complex garment style virtual try-on and cloth simulation.     

DeepGarment : 3D Garment Shape Estimation from a Single Image

3D garment capture is an important component for various applications such as free‐view point video, virtual avatars, online shopping, and virtual cloth fitting. Due to the complexity of the deformations, capturing 3D garment shapes requires controlled and specialized setups. A viable alternative is image‐based garment capture. Capturing 3D garment shapes from a single image, however, is a challenging problem and the current solutions come with assumptions on the lighting, camera calibration, complexity of human or mannequin poses considered, and more importantly a stable physical state for the garment and the underlying human body. In addition, most of the works require manual interaction and exhibit high run‐times. We propose a new technique that overcomes these limitations, making garment shape estimation from an image a practical approach for dynamic garment capture. Starting from synthetic garment shape data generated through physically based simulations from various human bodies in complex poses obtained through Mocap sequences, and rendered under varying camera positions and lighting conditions, our novel method learns a mapping from rendered garment images to the underlying 3D garment model. This is achieved by training Convolutional Neural Networks (CNN‐s) to estimate 3D vertex displacements from a template mesh with a specialized loss function. We illustrate that this technique is able to recover the global shape of dynamic 3D garments from a single image under varying factors such as challenging human poses, self occlusions, various camera poses and lighting conditions, at interactive rates. Improvement is shown if more than one view is integrated. Additionally, we show applications of our method to videos.     

Reactive 2D/3D garment pattern design modification

This paper presents a new 3D garment simulation result update algorithm for the 2D garment pattern design modification. The proposed algorithm enables the 3D garment fitting simulation result directly to react to the modification in the 2D patterns. The algorithm performs a topological invariant deformation of the 2D pattern mesh after the boundary of the 2D pattern undergoes a topological consistent modification. The length of each of the edges in the mesh defined as the equilibrium state parameter is updated and then directly used in the 3D garment fitting simulation to update the original simulation result. The advantage of the proposed algorithm is that the mesh topology of the 2D garment pattern is preserved and thus simplifies the numerical scheme by maintaining the consistency of the matrix equation. With this approach, the 3D garment fitting simulation does not need to repeat the entire simulation for every modification and can react to the 2D pattern modification efficiently and speedily.     

A template of ease allowance for garments based on a 3D reverse methodology

Nowadays, with the very competitive environment and the emergence of the mass customization concept, garment design is become a crucial step for clothing companies. Indeed, garments should be designed quickly under controlled costs and perfectly fitted to consumers. No traditional pattern making in 2D matches these new constraints since it requires the production of expensive and time consuming physical prototypes. The study presented in this paper relies on 3D virtual design that lets achieve customized garments. An original image processing method based on ellipses and a reverse methodology using scans of a reference body and garment enables evaluation of the overall 3D ease of the garment. The garment is then designed virtually and the result is checked with a 3D simulation on the reference body.     

Mesh网中高效无死锁自适应路由算法

提出了一种新的应用于三维Mesh网中的无死锁路由算法.在当今的商用多计算机系统中,二维和三维的Mesh网是多处理器网络最为常用的拓扑结构之一.在应用于Mesh网的平面自适应路由(Planar Adaptive Routing)算法中,每条物理通道只需三条虚拟通道就可以有效地在三维以及更高维的Mesh网中避免死锁的产生.然而,采用该算法,网络拓扑一维和三维分别有两条和一条虚拟通道始终处于空闲状态.该文所提出的算法针对三维Mesh网,每条物理通道只需两条虚拟通道就可以有效地避免死锁.文中通过充分的模拟数据验证了此算法的有效性.     

Composite freeform surface reconstruction using recursive interpolating subdivision scheme

Composite freeform surface reconstruction from 3D scanned data of a physical model has become a more and more important topic in the field of CAD/CAE/CAM. By repeated application of a fixed set of recursive interpolation subdivision schemes on the initial mesh of the 3D sparse scanned data of a physical model, a polygonal model of composite freeform surface can be constructed. In the paper, the algorithm for constructing the initial triangular mesh from 3D sparse scanned data is presented. The unified recursive interpolating subdivision scheme for triangular mesh is proposed. A special quad-tree data structure is suggested to store all the necessary information of the vertices and elements of the polygonal model. Examples of composite surface reconstruction are provided to explain the distinguished superiority of subdivision scheme for reconstructing the arbitrary topological complex surface.