The paper introduces the concept of scalp model as a manifold in 3-dimensional space. Based on the nature of the singularity of the vector field on the manifold, the paper proposes a hair simulation technique on the scalp surface model based on vector field on the manifold. Thus, we can simulate appropriately the hair vortex on the scalp model. | Tạp chí Khoa học và Công nghệ 54 (1) (2016) 109-122 A HAIR AND HAIR VORTEX SIMULATION TECHNIQUE BASED ON VECTOR FIELDS ON A MANIFOLD Nguyen Van Huan Information and Communication Technology University – Thai Nguyen University, Quyet Thang Commune, Thai Nguyen City, Thai Nguyen Province. Email: nvhuan@ Received: 2 April 2015; Accepted for publication: 20 November 2015 ABSTRACT Hair is an important component in the virtual human simulation system. During hair simulation, not only the time required to ensure that there are required to express the physical characteristics, chemical such as hair styles, colors, curves, twists, parting one’s hair and hair vortex (swirl), . to represent the authenticity of the hair and improve hair simulation quality. While the studies has announced today that they mainly focus on simulating the styles, the motion of the hair that has not been expressed characteristics of hair as hair vortex,. The paper introduces the concept of scalp model as a manifold in 3-dimensional space. Based on the nature of the singularity of the vector field on the manifold, the paper proposes a hair simulation technique on the scalp surface model based on vector field on the manifold. Thus, we can simulate appropriately the hair vortex on the scalp model. Keywords: scalp, manifold, vector field, singularity, hair. 1. INTRODUCTION In the system of virtual human simulation, hair is an important component and integral, contributing to the authenticity system. However, hair is a complex object with numbers in the hundreds of thousands of fibers per person, with many different styles, colors, curves, twists [1,2]. Besides, hair has localism with different physical and chemical features as hair swirl, So, in hair simulation, one task is always set simulation requirements ensuring reduced time required but must meet quality requirements, expressing the detailed characteristics of the hair. Currently, a hair simulation problem has received much .
