Mixed-Integer **Quadrangulation** David Bommes Henrik Zimmer Leif Kobbelt RWTHAachen University (a) (b) (c) (d) Figure1: **Quadrangulation** example: (a) A sparse set of conservatively estimated orientation and/or alignment constraints is selected on the input mesh by some simple heuristic orby the user.

Spectral **Quadrangulation** with Orientation and Alignment Control Jin Huan g † Muyang Zhang Jin Ma Xinguo Li u †Leif Kobbelt Hujun Ba o † State KeyLab. of CAD&CG, Zhejiang University RWTHAachen University (a) (b) (c) (d) Figure1: **Quadrangulation** on Rockarmmodel.

To form such a **quadrangulation**, we may first seek a coarse triangulation with the same connectivity as the surface. We then convert this coarse triangulation to a **quadrangulation**. 1

The resulting surface can be either used directly (if the original mesh is well ap-proximatedbya piecewise-smooth surface), or used as the base for a displaced surface. 2 Related work The literature on parameterization, **quadrangulation** and conversion to high-order surfaces is quite extensive, and we ...

p = 4: **quadrangulation** Rooted map: distinguished oriented edge A rooted **quadrangulation** Jean-François Le Gall (Université Paris-Sud) The continuous limit of random planar maps ECM08 2 / 45

The Laves Tilings 4 8 8-Prototile: Right Triangle-Regular Valences: 4 and 8 * Simplest tiling that supports regular, non-uniform refinement OBS: Triangulated **Quadrangulation** 8

Then Giscontractible to K 6 if and only if Gdoes not contain a K 4-**quadrangulation**. Throughout the proof, we use Menger'sTheorem many times, which is well-known in graph theory and states that fora graph Ganditstwo disjoint vertex-sets A,Bwithcardinalityk, there arekdisjoint paths joiningAandB, unless ...

Anisotropic Harmonic **Quadrangulation** Poster Presentation at Symposium on Geometry Processing 2009 Real-Time Creased Approximate Subdivision Surfaces

The multiprism methodological approach of “**quadrangulation**” serves to “box” in past safety, efficacy, regulatory, and legal problems.

Our goal is to generate a **quadrangulation** where all quadrilaterals are strictly convex and has all angles larger than some constant—that is, the minimum angle is bounded.