[Crib-list] SPEAKER: Paul Zhang (MIT) / "Virtual" (CRIBB Seminar) / Friday, April 1, 2022 / 12:00 PM to 1:00 PM

[Shirley Entzminger]

 		     COMPUTATIONAL RESEARCH in BOSTON and BEYOND SEMINAR
                                              (CRIBB)


ZOOM MEETING info:

 	https://mit.zoom.us/j/96155042770

 	Meeting ID: 961 5504 2770

-------------------------------------------------

DATE:	Friday, April 1, 2022

TIME:	12 Noon to 1:00 PM


TItLE:	Local Decomposition of Hexahedral Singular Nodes into
 	Singular Curves



SPEAKER:  Paul Zhang  (MIT)


ABSTRACT:

Hexahedral (hex) meshing is a long studied topic in geometry processing 
with many fascinating and challenging associated problems. Fully 
structured meshes require that all interior mesh edges are adjacent to 
exactly four hexes. Edges not satisfying this criteria are considered 
singular and indicate an unstructured hex mesh. Singular edges join 
together into singular curves that may collide at a singular node, a 
complex junction of more than two singular curves. While all hex meshes 
with singularities are unstructured, those with more complex singular 
nodes tend to have more distorted elements and smaller scaled Jacobian 
values. In this work, we study the topology of singular nodes. We show 
that all eight of the most common singular nodes are decomposable into 
just singular curves. We further show that all singular nodes, regardless 
of edge valence, are locally decomposable. Finally we demonstrate these 
decompositions on hex meshes, thereby decreasing their distortion and 
converting all singular nodes into singular curves. With this 
decomposition, the enigmatic complexity of 3D singular nodes becomes 
effectively 2D.

================================================

Massachusetts Institute of Technology
Cambridge, MA  02139


For information about the CRIBB Seminar, please visit:

 	https://math.mit.edu/sites/crib/


Seminar will be "VIRTUAL.  ZOOM Info is at the top of this page, on the 
attached poster and on the CRIBB website:


Please contact me if you have any questions.

===

Shirley A. Entzminger
Administrative Assistant II
Department of Mathematics
Massachusetts Institute of Technology
77 Massachusetts Avenue
Building 2, Room 350A
Cambridge, MA 02139
PHONE: 	(617) 253-4994
E-mail:	daisymae at math.mit.edu
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