منابع مشابه
Designing composite triangular subdivision schemes
The paper iterates on the observation made independently by several groups of authors that building subdivision schemes out of simple, very local and geometrically invariant averaging rules is convenient both from a theoretical and practical point of view. We review the benefits of this approach with special emphasis on the smoothness analysis of the limit surfaces, derive certain guidelines fo...
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We present new families of primal and dual subdivision schemes for triangle meshes and √ 3-refinement. The proposed schemes use two simple local rules which cycle between primal and dual meshes a number of times. The resulting surfaces become very smooth at regular vertices if the number of cycles is≥ 2. The C-property is violated only at low-valence irregular vertices, and can be restored by s...
متن کاملNoninterpolatory Hermite subdivision schemes
Bivariate interpolatory Hermite subdivision schemes have recently been applied to build free-form subdivision surfaces. It is well known to geometric modelling practitioners that interpolatory schemes typically lead to “unfair” surfaces—surfaces with unwanted wiggles or undulations—and noninterpolatory (a.k.a. approximating in the CAGD community) schemes are much preferred in geometric modellin...
متن کاملStability of subdivision schemes
The stability of stationary interpolatory subdivision schemes for univariate data is investigated. If the subdivision scheme is linear, its stability follows from the convergence of the scheme, but for nonlinear subdivision schemes one needs stronger conditions and the stability analysis of nonlinear schemes is more involved. Apart from the fact that it is natural to demand that subdivision sch...
متن کاملHermite-interpolatory subdivision schemes
Stationary interpolatory subdivision schemes for Hermite data that consist of function values and first derivatives are examined. A general class of Hermite-interpolatory subdivision schemes is proposed, and some of its basic properties are stated. The goal is to characterise and construct certain classes of nonlinear (and linear) Hermite schemes. For linear Hermite subdivision, smoothness cond...
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ژورنال
عنوان ژورنال: Computer Aided Geometric Design
سال: 2003
ISSN: 0167-8396
DOI: 10.1016/s0167-8396(03)00026-8