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Non-Uniform Offsetting and its Applications in Laser Path Planning of Sterolithography Machine
Laser path planning is an important step in solid freeform fabrication processes such as
Stereolithography (SLA). An important consideration in the laser path planning is to compensate
the shape of laser beam. Currently the compensation is divided into two steps, Z-compensation
and X-Y compensation, and the shape of laser beam is assumed to be uniform for the whole
platform. In this research, we present a sampling based non-uniform offsetting method which
accounts for the different shapes of laser beam at various locations. We discuss the related steps
and algorithms. We demonstrate its effectiveness by using various test cases. Besides
improving the accuracy of SLA machine, non-uniform offsetting can also be applied to address
other accuracy issues caused by thermal and structural variationsMechanical Engineerin
Chupa: Carving 3D Clothed Humans from Skinned Shape Priors using 2D Diffusion Probabilistic Models
We propose a 3D generation pipeline that uses diffusion models to generate
realistic human digital avatars. Due to the wide variety of human identities,
poses, and stochastic details, the generation of 3D human meshes has been a
challenging problem. To address this, we decompose the problem into 2D normal
map generation and normal map-based 3D reconstruction. Specifically, we first
simultaneously generate realistic normal maps for the front and backside of a
clothed human, dubbed dual normal maps, using a pose-conditional diffusion
model. For 3D reconstruction, we ``carve'' the prior SMPL-X mesh to a detailed
3D mesh according to the normal maps through mesh optimization. To further
enhance the high-frequency details, we present a diffusion resampling scheme on
both body and facial regions, thus encouraging the generation of realistic
digital avatars. We also seamlessly incorporate a recent text-to-image
diffusion model to support text-based human identity control. Our method,
namely, Chupa, is capable of generating realistic 3D clothed humans with better
perceptual quality and identity variety
A "metric" semi-Lagrangian Vlasov-Poisson solver
We propose a new semi-Lagrangian Vlasov-Poisson solver. It employs elements
of metric to follow locally the flow and its deformation, allowing one to find
quickly and accurately the initial phase-space position of any test
particle , by expanding at second order the geometry of the motion in the
vicinity of the closest element. It is thus possible to reconstruct accurately
the phase-space distribution function at any time and position by
proper interpolation of initial conditions, following Liouville theorem. When
distorsion of the elements of metric becomes too large, it is necessary to
create new initial conditions along with isotropic elements and repeat the
procedure again until next resampling. To speed up the process, interpolation
of the phase-space distribution is performed at second order during the
transport phase, while third order splines are used at the moments of
remapping. We also show how to compute accurately the region of influence of
each element of metric with the proper percolation scheme. The algorithm is
tested here in the framework of one-dimensional gravitational dynamics but is
implemented in such a way that it can be extended easily to four or
six-dimensional phase-space. It can also be trivially generalised to plasmas.Comment: 32 pages, 14 figures, accepted for publication in Journal of Plasma
Physics, Special issue: The Vlasov equation, from space to laboratory plasma
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