Convexity-preserving interpolatory subdivision
Computer Aided Geometric Design
A variational approach to subdivision
Computer Aided Geometric Design
Convexity preservation of the four-point interpolatory subdivision scheme
Computer Aided Geometric Design
An interpolating 4-point C 2 ternary stationary subdivision scheme
Computer Aided Geometric Design
Non-linear subdivision using local spherical coordinates
Computer Aided Geometric Design
Surface interpolation of meshes by geometric subdivision
Computer-Aided Design
A 4-point interpolatory subdivision scheme for curve design
Computer Aided Geometric Design
Incenter subdivision scheme for curve interpolation
Computer Aided Geometric Design
Curve subdivision with arc-length control
Computing - Geometric Modelling, Dagstuhl 2008
Modeling smooth shape using subdivision on differential coordinates
Computer-Aided Design
Matching admissible G2 Hermite data by a biarc-based subdivision scheme
Computer Aided Geometric Design
Generalization of the incenter subdivision scheme
Graphical Models
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In this paper we propose a new kind of nonlinear and geometry driven subdivision scheme for curve interpolation. Instead of using linear combination of old vertexes, displacement vector for every new vertex is given by normal vectors at old vertexes. The normal vectors are computed adaptively for each time of subdivision, and the limit curve is G^1 smooth with wide ranges of free parameters. With this new scheme, normal vectors at selected vertexes can be interpolated efficiently. A shape preserving subdivision scheme with explicit choices of all free parameters is also presented.