Model selection for the Dubuc-Deslauriers family of subdivision schemes (2013)
Conference Proceeding
Mustafa, G., & Ivrissimtzis, I. (2013). Model selection for the Dubuc-Deslauriers family of subdivision schemes. In R. J. Cripps, G. Mullineux, & M. A. Sabin (Eds.), Mathematics of surfaces - XIV. The proceedings of a conference on the Mathematics of Surfaces, organised by the Institute of Mathematics and its Applications held at the University of Birmingham in September 2013 (155-162)

We propose two methods for model selection for the DubucDeslauriers family of subdivision schemes. In particular, we study model selection under the statistical method of cross-validation and the geometric method of minimizing the absolute discrete t... Read More about Model selection for the Dubuc-Deslauriers family of subdivision schemes.

Spectral representations of vertex transitive graphs, Archimedean solids and finite Coxeter groups (2013)
Journal Article
Ivrissimtzis, I., & Peyerimhoff, N. (2013). Spectral representations of vertex transitive graphs, Archimedean solids and finite Coxeter groups. Groups, Geometry, and Dynamics, 7(3), 591-615. https://doi.org/10.4171/ggd/199

In this article, we study eigenvalue functions of varying transitionprobability matrices on finite, vertex transitive graphs. We provethat the eigenvalue function of an eigenvalue of fixed highermultiplicity has a critical point if and only if the co... Read More about Spectral representations of vertex transitive graphs, Archimedean solids and finite Coxeter groups.

Linear Correlations between Spatial and Normal Noise in Triangle Meshes (2013)
Journal Article
Yang, Y., Norbert, P., & Ivrissimtzis, I. (2013). Linear Correlations between Spatial and Normal Noise in Triangle Meshes. IEEE Transactions on Visualization and Computer Graphics, 19(1), 45-55. https://doi.org/10.1109/tvcg.2012.106

We study the relationship between the noise in the vertex coordinates of a triangle mesh and normal noise. First, we compute in closed form the expectation for the angle  between the new and the old normal when uniform noise is added to a single ver... Read More about Linear Correlations between Spatial and Normal Noise in Triangle Meshes.