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DTSTART:18871231T000000
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DTSTAMP:20181210T184842Z
LOCATION:Hall B5(1) (5F\, B Block)
DTSTART;TZID=Asia/Tokyo:20181205T151800
DTEND;TZID=Asia/Tokyo:20181205T153900
UID:siggraphasia_SIGGRAPH Asia 2018_sess121_papers_315@linklings.com
SUMMARY:Mean value coordinates for quad cages in 3D
DESCRIPTION:Technical Papers\nFull Conference Pass (FC), Full Conference O
ne-Day Pass (1D)\n\nMean value coordinates for quad cages in 3D\n\nThiery,
Memari, Boubekeur\n\nSpace coordinates offer an elegant, scalable and ver
satile framework to propagate (multi-)scalar functions from the boundary v
ertices of a 3-manifold, often called a cage, within its volume. These gen
eralizations of the barycentric coordinate system have progressively expan
ded the range of eligible cages to triangle surface meshes with arbitrary
topology, concave regions\nand a spatially-varying sampling ratio, while p
reserving a smooth diffusion of the prescribed on-surface functions. In sp
ite of their potential for major computer graphics applications such as fr
eeform deformation or volume texturing, current space coordinate systems h
ave only found a moderate impact in applications. This follows from the co
nstraint on having only triangles in the cage, while many application scen
arios favor quad meshes for their ability to align the surface structure w
ith features and to naturally cope with anisotropic sampling. In order to
use space coordinates with quad cages, one must triangulate them, which re
sults in large propagation distorsion. Instead, we propose a generalizatio
n of a popular coordinate system – Mean Value Coordinates – to quad and tr
i-quad cages, bridging the gap between high-quality coarse meshing and vol
ume diffusion through space coordinates. Our method can process non-planar
quads, comes with a closed-form solution free from global optimization an
d reproduces the expected behavior of Mean Value Coordinates, namely smoot
hness within the cage volume and continuity everywhere. As a result, we sh
ow how these coordinates compare favorably to classical space coordinates
on triangulated quad cages, in particular for freeform deformation and vol
umetric texturing.
URL:https://sa2018.conference-program.com/presentation?id=papers_315&sess=
sess121
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