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Outputs (54)

Evolutions of Polygons in the Study of Subdivision Surfaces (2004)
Journal Article
Ivrissimtzis, I., & Seidel, H. (2004). Evolutions of Polygons in the Study of Subdivision Surfaces. Computing, 72(1-2), 93-103. https://doi.org/10.1007/s00607-003-0049-8

We employ the theory of evolving n-gons in the study of subdivision surfaces. We show that for subdivision schemes with small stencils the eige¬nanalysis of an evolving polygon, corresponding either to a face or to the 1-¬ring neighborhood of a verte... Read More about Evolutions of Polygons in the Study of Subdivision Surfaces.

A generative classification of mesh refinement rules with lattice transformations (2004)
Journal Article
Ivrissimtzis, I., Dodgson, N., & Sabin, M. (2004). A generative classification of mesh refinement rules with lattice transformations. Computer Aided Geometric Design, 21(1), 99-109. https://doi.org/10.1016/j.cagd.2003.08.001

We give a classification of subdivision refinement rules using similarity transformations of lattices. Our work expands recent results in the classification of primal triangular subdivision. In the examples we concentrate on the cases with a low rati... Read More about A generative classification of mesh refinement rules with lattice transformations.

The refinability of the 4-point scheme. (2002)
Journal Article
Ivrissimtzis, I., Dodgson, N., Hassan, M., & Sabin, M. (2002). The refinability of the 4-point scheme. Computer Aided Geometric Design, 19(4), 235-238

An interpolating 4-point C2 ternary stationary subdivision scheme (2002)
Journal Article
Hassan, M., Ivrissimtzis, I., Dodgson, N., & Sabin, M. (2002). An interpolating 4-point C2 ternary stationary subdivision scheme. Computer Aided Geometric Design, 19(1), 1-18. https://doi.org/10.1016/s0167-8396%2801%2900084-x

A novel 4-point ternary interpolatory subdivision scheme with a tension parameter is analyzed. It is shown that for a certain range of the tension parameter the resulting curve is C2. The role of the tension parameter is demonstrated by a few example... Read More about An interpolating 4-point C2 ternary stationary subdivision scheme.