# Manos N. Kamarianakis's home page

## Projects

I am interested in all aspects of Computational Geometry and Geometric Algebra that include design of geometric predicates. I am currently working on Geometric Algebra applications on Computer graphics. I am also researching decidability on diophantine problems
over various rings and languages.

**Deform, Cut and Tear a skinned model using Conformal Geometric Algebra.** M. Kamarianakis and G. Papagiannakis, CGI 2020 (ENGAGE Workshop), Geneva, Switzerland, 2020 [arXiv]
**MAGES 3.0: Tying the knot of medical VR.** G. Papagiannakis, P. Zikas, N. Lydatakis, S. Kateros, M. Kentros, E. Geronikolakis, M. Kamarianakis, I. Kartsonaki and G. Evangelou, SIGGRAPH 2020, Washington D.C., August 2020 [arXiv]
**Predicates for the 3D Apollonius Diagram.** M. Kamarianakis, Ph.D. Thesis, December 2018 [arXiv] Advisor: Menelaos Karavelas
**The EdgeConflict Predicate in the 3D Apollonius Voronoi Diagram.** M. Kamarianakis, Conference Paper, Sixth International Conference on Analytic Number Theory and Spatial Tessellations, Kiev, Ukraine, September 2018 [full version of accepted paper]
**Analysis of the Incircle predicate for the Euclidean Voronoi diagram of axes-aligned line segments.** M. Kamarianakis and M. Karavelas Conference Paper, EuroCG 2012, Assisi, Italy, March 2012 [arXiv]
**Predicates for the Euclidean Voronoi diagram of axis-aligned and ortho-45o line segments.** M. Kamarianakis, M.S. Thesis, Inter-departmental Graduate Program "Mathematics and its Applications", University of Crete, July 2011 [greek text with english summary, thesis presentation in english] Advisor: Menelaos Karavelas