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Interpolating Subdivisions from Approximating Subdivisions [PDF]

open access: possibleJournal of Information and Computational Science, 2013
A subdivision surface is a method of representing a smooth, continuous, seamless surface via the specification of a coarser piecewise linear polygon mesh. In this paper, we propose an innovative unified method for constructing interpolating subdivisions.
Baocai Yin   +3 more
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RGB Subdivision

IEEE Transactions on Visualization and Computer Graphics, 2009
We introduce the RGB Subdivision: an adaptive subdivision scheme for triangle meshes, which is based on the iterative application of local refinement and coarsening operators, and generates the same limit surface of the Loop subdivision, independently on the order of application of local operators.
PUPPO, ENRICO, D. PANOZZO
openaire   +3 more sources

On vector subdivision

Mathematische Zeitschrift, 1998
The paper considers stationary vector subdivision processes given by the bi-infinite vectors: \[ {\mathbf c}= (c_j:j\in\mathbb{Z}),\quad c_j\in \mathbb{R}^n,\;j\in\mathbb{Z}, \] a finitely supported vector: \[ {\mathbf A}=(A_j:j \in\mathbb{Z}) \text{ of }n\times n\text{ matrices}, \] and the subdivision operator: \[ S_{{ \mathbf A}^{\mathbf c}}= \sum_ ...
Thomas Sauer, Charles A. Micchelli
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Subdivision vertex & subdivision vertex neighborhood

Advances in Mathematics: Scientific Journal, 2020
Let us newly define the Subdivision vertex corona and subdivision vertex neighbourhood corona product of the Cycle graph $ C_m $, for any $ m\ge3 $ with empty graph $ \overline{K_n} $, for any $ n \ge1 $. Additionally we will give generalization result based on the graph $ S({C_m}\odot\overline{K_n})$ and $ S_N({C_m}\boxdot\overline{K_n})$ for any ...
G. Kiruthika, D. Kalamani
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Subdivision shading

ACM SIGGRAPH Asia 2008 papers, 2008
The idea of Phong Shading is applied to subdivision surfaces: normals are associated with vertices and the same construction is used for both locations and normals. This creates vertex positions and normals. The vertex normals are smoother than the normals of the subdivision surface and using vertex normals for ...
Tamy Boubekeur, Marc Alexa
openaire   +2 more sources

On interpolatory subdivision from approximating subdivision scheme

Applied Mathematics and Computation, 2013
This paper deals with some theoretical analysis of one strategy for deducing interpolatory from approximating subdivision scheme. First, we derive the explicit formula for one class of interpolatory subdivision schemes deduced from approximating subdivision schemes. This explicit formula paves a way for systematic analysis of interpolatory subdivisions
Wanfeng Qi, Zhongxuan Luo
openaire   +2 more sources

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