<HTML>
<HEAD>
<TITLE>Riemann Surface :Publications :Abstract : Discrete Curvature Flow for Surfaces and 3-Manifolds</TITLE>
</HEAD>
<BODY>
<H3> Discrete Curvature Flow for Surfaces and 3-Manifolds</H3>
<BR>
Book Chapter in "Emerging Trends in Visual Computing" 2008
<BR>
Xiaotian Yin, Miao Jin, Feng Luo, and Xianfeng Gu
<HR>
This chapter introduces the concepts, theories and algorithms
of discrete curvature °ows for surfaces with arbitrary topologies. Discrete
curvature flow for hyperbolic 3-manifolds with geodesic boundaries is also
presented. Curvature flow method can be used to design Riemannian
metrics by prescribed curvatures, and applied for parameterization in
graphics, shape registration in computer vision, brain mapping in medical 
imaging, spline construction in computer aided geometric design, and
many other engineering filelds.
<HR>
</BODY>
</HTML>�