9,187 research outputs found
Shape Completion using 3D-Encoder-Predictor CNNs and Shape Synthesis
We introduce a data-driven approach to complete partial 3D shapes through a
combination of volumetric deep neural networks and 3D shape synthesis. From a
partially-scanned input shape, our method first infers a low-resolution -- but
complete -- output. To this end, we introduce a 3D-Encoder-Predictor Network
(3D-EPN) which is composed of 3D convolutional layers. The network is trained
to predict and fill in missing data, and operates on an implicit surface
representation that encodes both known and unknown space. This allows us to
predict global structure in unknown areas at high accuracy. We then correlate
these intermediary results with 3D geometry from a shape database at test time.
In a final pass, we propose a patch-based 3D shape synthesis method that
imposes the 3D geometry from these retrieved shapes as constraints on the
coarsely-completed mesh. This synthesis process enables us to reconstruct
fine-scale detail and generate high-resolution output while respecting the
global mesh structure obtained by the 3D-EPN. Although our 3D-EPN outperforms
state-of-the-art completion method, the main contribution in our work lies in
the combination of a data-driven shape predictor and analytic 3D shape
synthesis. In our results, we show extensive evaluations on a newly-introduced
shape completion benchmark for both real-world and synthetic data
An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
We introduce a new expression for the Z2 topological invariant of band
insulators using non- Abelian Berry's connection. Our expression can identify
the topological nature of a general band insulator without any of the gauge
fixing problems that plague the concrete implementation of previous invariants.
The new expression can be derived from the "partner switching" of the Wannier
function center during time reversal pumping and is thus equivalent to the Z2
topological invariant proposed by Kane and Mele.Comment: 14 pages, 8 figure
10 to 50 nm Long Quasi Ballistic Carbon Nanotube Devices Obtained Without Complex Lithography
A simple method combining photolithography and shadow (or angle) evaporation
is developed to fabricate single-walled carbon nanotube (SWCNT) devices with
tube lengths L~10-50 nm between metal contacts. Large numbers of such short
devices are obtained without the need of complex tools such as electron beam
lithography. Metallic SWCNTs with lengths ~ 10 nm, near the mean free path
(mfp) of lop~15 nm for optical phonon scattering, exhibit near-ballistic
transport at high biases and can carry unprecedented 100 mA currents per tube.
Semiconducting SWCNT field-effect transistors (FETs) with ~ 50 nm channel
lengths are routinely produced to achieve quasi-ballistic operations for
molecular transistors. The results demonstrate highly length-scaled and
high-performance interconnects and transistors realized with SWCNTs.Comment: PNAS, in pres
Combined Field Integral Equation Based Theory of Characteristic Mode
Conventional electric field integral equation based theory is susceptible to
the spurious internal resonance problem when the characteristic modes of closed
perfectly conducting objects are computed iteratively. In this paper, we
present a combined field integral equation based theory to remove the
difficulty of internal resonances in characteristic mode analysis. The electric
and magnetic field integral operators are shown to share a common set of
non-trivial characteristic pairs (values and modes), leading to a generalized
eigenvalue problem which is immune to the internal resonance corruption.
Numerical results are presented to validate the proposed formulation. This work
may offer efficient solutions to characteristic mode analysis which involves
electrically large closed surfaces
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