Chengming Liu

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The aim of this paper is to investigate curve or surface design and modeling with geometric constraint by subdivision scheme. To construct a curve with a given length, constraint is employed on the free parameter of a newly proposed 4-point approximating subdivision scheme. Feasibility to this problem is investigated, convergence and smoothness analysis are(More)
Cage-based deformation methods require an enclosing cage to deform a shape, which is not user-friendly. In this paper, we propose holomorphic coordinates that directly take user-specified shape points as handles to produce visually promising conformal deformations for 2D shapes. Based on the theory of holomorphic functions, holomorphic coordinates promise(More)
—We present a method for deducing interpolating subdivision schemes from known approximating subdivision scheme which generates curves and blending subdivision schemes. We make use of the connection between the approximating subdivision schemes and interpolating subdivision schemes to produce a blending subdivision scheme that integrates interpolating and(More)