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TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20300310T030000 RDATE:20301103T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20310309T030000 RDATE:20311102T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20320314T030000 RDATE:20321107T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20330313T030000 RDATE:20331106T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20340312T030000 RDATE:20341105T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20350311T030000 RDATE:20351104T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20360309T030000 RDATE:20361102T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20370308T030000 RDATE:20371101T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT END:VTIMEZONE BEGIN:VEVENT UID:ffe5dda50fc21be4972b1d1aea33f9c8 CATEGORIES:RuCCS Colloquia:Spring 2003 CREATED:20151203T141539 SUMMARY:3D Shape Representation via Shock Flows LOCATION:Brown University\, Engineering DESCRIPTION:
Frederic F. Leymarie
Brown University, Engineering
3D Shape Representation via Sho ck Flows
We address the problem of representing 3D sha
pes when partial and unorganized data is obtained as an input, such as clou
ds of point samples
on the surface of a face, statue, solid, etc., of r
egular or arbitrary
complexity (free-form), as is commonly produced by
photogrammetry, laser scanners, computerized tomography, and so on. Our sta
rting point
is the medial axis (MA) representation which has been explo
red mainly
for 2D problems since the 1960's in pattern recognition and
image analysis.
The MA makes explicit certain symmetries of an object,
corresponding
to the shocks of waves initiated at the input samples, bu
t is itself difficult
to directly use for recognition tasks and applica
tions. Based on previous work
on the 2D problem, we propose a new repre
sentation in 3D which is derived
from the MA, producing a graph we call
the shock scaffold. The nodes of this graph are defined to be certain sing
ularities of the shock flow along the MA. This graph can represent ex
actly the MA --- and the original inputs --- or approximate it, leading to
a hierarchical description of shapes. We will also summarize early applicat
ions of this directed graph representation to surface meshing, medial surfa
ces approximation, and geometric surface regularization, or in other words
the hierarchical removal of protruding structures at varying scales.