使用静态超级头盔构建卷发模型

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"基于静态超级头盔的卷发建模技术是计算机图形学与人体模拟领域的一项重要研究，旨在解决头发模拟的物理行为和渲染难题。该研究论文由Fei Shao、Xingce Wang、Qianqian Jiang、Zhongke Wu和Mingquan Zhou等人发表于北京师范大学信息科学与技术学院。文中提出了一种利用Nelder-Mead方法和球形B样条曲线（BBSCs）构建卷发模型的新方法。在计算机图形学中，头发模拟的复杂性在于其自然的动态行为和多样性。本文提出的卷发模型建立在静态超级头盔基础之上，这一概念可能是指一种用于捕捉和表示头发几何形状的抽象结构。静态超级头盔在这里可能意味着一个固定的框架，用于组织和控制每个单独头发的形态。球形B样条曲线（BBSCs）被用来重建头发模型，这种曲线具有良好的可修改、编辑和变形的灵活性，因此能够适应各种类型的卷发样式。BBSCs的使用使得模型可以更加真实地反映头发的复杂性和多样性，对于创建不同类型的卷曲效果非常有效。为了计算每根头发的平衡形状，研究中采用了Nelder-Mead方法。这是一种优化算法，以其快速计算和简单实现而著称，特别适合于没有明确导数情况下的优化问题。通过Nelder-Mead方法，可以高效地找到每根头发在重力和其他力作用下的自然形态，从而实现逼真的卷发模拟。此外，论文中还可能涉及了如何处理头发之间的相互作用，以及如何将这些模型应用于实时渲染和动画。虽然没有提供具体的技术细节，但可以推测这种方法可能包括碰撞检测、头发动力学模拟以及渲染技术，如光照和阴影处理，以提升视觉效果。这项研究为卷发的计算机生成提供了新的工具和技术，有望在游戏开发、电影特效、虚拟现实等领域产生积极影响，使数字角色的头发表现更加接近真实世界。通过结合BBSCs的灵活性和Nelder-Mead方法的效率，该方法为创建多样化的卷发样式提供了有力的支持。"

Modeling Curly Hair based on Static Super-Helices

Fei Shao

1,a

, Xingce Wang

*1,b

, Qianqian Jiang

, Zhongke Wu

, Mingquan Zhou

College of Information Science & Technology, Beijing Normal University, P.R.C

Beijing, China

sophieshao@outlook.com,

wangxingce@bnu.edu.cn

Figure 1: simulation of hair of various types

Abstract—In the field of computer graphics and human

simulation, hair simulation is one of the most challenging

physics and rendering problem. This paper presents a curly

hair modeling utilizing the Nelder-Mead method and being

based on the ball B-Spline Curves(BBSCs). The ball B-Spline

Curves (BBSCs) is used to reconstruct hair model and the

Nelder-Mead method is for calculating the equilibrium shape

of each hair. The main advantages of our method used in this

experiment are: (1) We construct hair model for each

individual hair. (2) It can provide a wide range of curly hair

types with the BBSCs for its good properties that it is flexible

for modifying, editing and deforming. (3) The method can

obtain efficient curly hair type because of the fast calculation

and easy implementation of Nelder-Mead method. The

hypothesis in this paper is supported by several credible

evidences and the model can be widely used in the similar

systems (e.g. fabrics, green fields).

Keywords: curly hair modeling; super-helices; ball b-spline

curve; nelder-mead method

I. INTRODUCTION

Hair simulation is one of the most challenging projects in

the field of computer graphic and simulation. It is difficult to

construct a model, let alone modeling for each individual

hair and considering various hairstyles. Hair simulation is

widely used in many ways, for instance, in the film and

animation, hair simulation is a basic element of the

individual reconstruction. It can also be widely used in hair

design and beauty industry. Comparing with the straight hair,

curly hair is more difficult to simulate due to the intrinsic

properties of human natural hair.

There is a long history of hair simulation in Computer

Graphic, some authors use meshes to simulate hair [1], they

interpret hair model as a surface, and some authors

considered hair behaves as a collective [2]. The main

drawback of the above models is that the intricate collisions

and interaction with small objects cannot be accurately

presented. In this paper, we attempt to simulate many

individual hairs with the BBSC which is simple but also can

model twist curly hair.

As Magnenat-Thalmann and Hadapsuo[3] ’s paper

described, hair simulation can be generally divided into three

topics: static hair modeling, dynamic simulation of hair and

hair rendering. Static hair modeling refers to simulating the

entire static characteristics, such as the geometric

characteristics of the hair, the thickness of the hair, the

volume distribution of different hairstyles and the trend of

hair. Static hair modeling technique can split into three

categories: based on the geometry, based on physics and

based on image. The method based on geometry use the

parametric method to represent the surface of hair [1][4-6],

which consider hair as a thin cylinder that can be interpreted

as full parameters [7-9], but this method needs a lot of user

interactions to input parameters. The method based on

physics only need to control critical parameters, which

reduce user interactions. It uses the theory of fluid mechanics

2015 International Conference on Cyberworlds

DOI 10.1109/CW.2015.49

299

2015 International Conference on Cyberworlds

DOI 10.1109/CW.2015.49

307

2015 International Conference on Cyberworlds

DOI 10.1109/CW.2015.49

306

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