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Fitting Sharp Features with Loop Subdivision Surfaces
Ling, Ruotian; Wang, Wenping; Yan, Dong-Ming
2008
发表期刊Computer Graphics Forum
卷号27期号:5页码:1383-1391
摘要
Various methods have been proposed for fitting subdivision surfaces to different forms of shape data (e.g., dense
meshes or point clouds), but none of these methods effectively deals with shapes with sharp features, that is,
creases, darts and corners. We present an effective method for fitting a Loop subdivision surface to a dense triangle
mesh with sharp features. Our contribution is a new exact evaluation scheme for the Loop subdivision with all types
of sharp features, which enables us to compute a fitting Loop subdivision surface for shapes with sharp features
in an optimization framework. With an initial control mesh obtained from simplifying the input dense mesh using
QEM, our fitting algorithm employs an iterative method to solve a nonlinear least squares problem based on
the squared distances from the input mesh vertices to the fitting subdivision surface. This optimization framework
depends critically on the ability to express these distances as quadratic functions of control mesh vertices using our
exact evaluation scheme near sharp features. Experimental results are presented to demonstrate the effectiveness
of the method.
;
Various methods have been proposed for fitting subdivision surfaces to different forms of shape data (e.g., dense
meshes or point clouds), but none of these methods effectively deals with shapes with sharp features, that is,
creases, darts and corners. We present an effective method for fitting a Loop subdivision surface to a dense triangle
mesh with sharp features. Our contribution is a new exact evaluation scheme for the Loop subdivision with all types
of sharp features, which enables us to compute a fitting Loop subdivision surface for shapes with sharp features
in an optimization framework. With an initial control mesh obtained from simplifying the input dense mesh using
QEM, our fitting algorithm employs an iterative method to solve a nonlinear least squares problem based on
the squared distances from the input mesh vertices to the fitting subdivision surface. This optimization framework
depends critically on the ability to express these distances as quadratic functions of control mesh vertices using our
exact evaluation scheme near sharp features. Experimental results are presented to demonstrate the effectiveness
of the method.
关键词Fitting
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/14021
专题09年以前成果
推荐引用方式
GB/T 7714
Ling, Ruotian,Wang, Wenping,Yan, Dong-Ming. Fitting Sharp Features with Loop Subdivision Surfaces[J]. Computer Graphics Forum,2008,27(5):1383-1391.
APA Ling, Ruotian,Wang, Wenping,&Yan, Dong-Ming.(2008).Fitting Sharp Features with Loop Subdivision Surfaces.Computer Graphics Forum,27(5),1383-1391.
MLA Ling, Ruotian,et al."Fitting Sharp Features with Loop Subdivision Surfaces".Computer Graphics Forum 27.5(2008):1383-1391.
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