Outputs (3)

On the support of recursive subdivision (2004)
Journal Article
Ivrissimtzis, I., Sabin, M., & Dodgson, N. (2004). On the support of recursive subdivision. ACM Transactions on Graphics, 23(4), 1043-1060. https://doi.org/10.1145/1027411.1027417

We study the support of subdivision schemes: that is, the region of the subdivision surface, which is affected by the displacement of a single control point. Our main results cover the regular case, where the mesh induces a regular Euclidean tessella... Read More about On the support of recursive subdivision.

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.