8 citations · 18 across the 8 of their papers we have counts for
9 papers
An Angular Transformation of Triangles
Dimitris Vartziotis, Doris Bohnet
Triangles are everywhere in the virtual world. The surface of nearly every graphical object is saved as a triangular mesh on a computer. Light effects and movements of virtual obje…
Smoothing Game
Dimitris Vartziotis, Doris Bohnet, Benjamin Himpel
We want to introduce another smoothing approach by treating each geometric element as a player in a game: a quest for the best element quality. In other words, each player has the…
Existence of an attractor for a geometric tetrahedron transformation
Dimitris Vartziotis, Doris Bohnet
We analyze the dynamical properties of a tetrahedron transformation on the space of non-degenerate tetrahedra which can be identified with the non-compact globally symmetric -di…
Fractal curves from prime trigonometric series
Dimitris Vartziotis, Doris Bohnet
We study the convergence of the parameter family of series defined over prime numbers , a…
Convergence properties of a geometric mesh smoothing algorithm
Dimitris Vartziotis, Doris Bohnet
We describe a simple geometric transformation of triangles which leads to an efficient and effective algorithm to smooth triangle and tetrahedral meshes. Our focus lies on the conv…
A geometric mesh smoothing algorithm related to damped oscillations
Dimitris Vartziotis, Doris Bohnet
We introduce a smoothing algorithm for triangle, quadrilateral, tetrahedral and hexahedral meshes whose centerpiece is a simple geometric triangle transformation. The first part fo…