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In even-dimensional Euclidean space for integer powers of the Laplacian greater than or equal to the dimension divided by two, a fundamental solution for the polyharmonic equation has logarithmic behavior. We give two approaches for developing a Fourier
Non-rigid 3D shape retrieval has become an active and important research topic in content-based 3D object retrieval. The aim of this paper is to measure and compare the performance of state-of-the-art methods for non-rigid 3D shape retrieval. The paper
As the usage of 3D models increases, so does the importance of developing accurate 3D shape retrieval algorithms. A common approach is to calculate a shape descriptor for each object, which can then be compared to determine two objects similarity. However
Industrial pipelines are frequently scanned with 3D imaging systems (e.g., LADAR) and cylinders are fitted to the collected data. Then, the fitted as-built model is compared with the as-designed model. Meaningful comparison between the two models requires
Computer-interpretable representations of system structure and behavior are at the center of designing todays complex systems. Engineers create and review such representations using graphical modeling languages that support specification, analysis, design
Timothy J. Burns, Steven P. Mates, Richard L. Rhorer, Eric P. Whitenton, Debasis Basak
Numerical finite-difference simulations of a two-dimensional transient fast convection-slow diffusion model of the temperature field in orthogonal cutting, due to Tlusty, have been shown to provide better predictions of the peak temperature during
A fundamental solution of Laplace's equation in three dimensions is expanded in harmonic functions that are separated in parabolic or elliptic cylinder coordinates. There are two expansions in each case which reduce to expansions of the Bessel functions J
Abstract Measuring the dissimilarity between non-rigid objects is a challenging problem in 3D shape retrieval. One potential solution is to construct the models 3D canonical forms (i.e., isometry-invariant representations in 3D Euclidean domain) on which
Mark H. Linehan, Edward J. Barkmeyer Jr., Stan Hendryx
The Date-Time Vocabulary is a new OMG specification that models continuous time, discrete time, the relationship of events and situations to time, language tense and aspect, time indexicals, timetables, and schedules. It offers a "business vocabulary" (i.e
Cell measurements are derived frequently from the results of pixel classification and contiguous region segmentation of microscopy images. Image segmentation is accomplished by classifying image pixels based on high dimensional image features computed from
In this paper, we present an evaluation strategy based on human-generated ground truth to measure the performance of 3D interest point detection techniques. We provide quantitative evaluation measures that relate automatically detected interest points to
Christopher E. Dabrowski, James J. Filliben, Kevin L. Mills
Over the past five years, we investigated methods to characterize global behavior in large distributed systems and applied those methods to predict effects from deploying alternate distributed control algorithms. The methods we used assess global behaviors
This paper presents a novel convexity measurement for 3D meshes. The new convexity measure is calculated by minimizing the ratio of the summed area of valid regions in a meshs six views, which are projected on faces of the bounding box whose edges are
The propagation and controlled manipulation of strongly nonlinear, two-dimensional solitonic states in a thin, anisotropic ferromagnet is theoretically demonstrated. It has been recently proposed that spin polarized currents in a nanocontact device could
Assane Gueye, Vladimir V. Marbukh, Jean C. Walrand
In this paper, we propose a quantification of the vulnerability of a communication network when links are subject to failures due to the actions of a strategic adversary. We model the adversarial nature of the problem as a 2-player game between an attacker
A systematic series of micromagnetic simulations on periodic cross-tie/vortex wall structures in an ideal soft film at various width, thickness, and period lengths is performed. For each width and thickness a natural period length is found which has
Generic 3D shape retrieval is a fundamental research area in the field of content-based 3D model retrieval. The aim of this track is to measure and compare the performance of generic 3D shape retrieval methods implemented by different participants over the
Sketch-based 3D shape retrieval has become an important research topic in content-based 3D object retrieval. The aim of this track is to measure and compare the performance of sketch-based 3D shape retrieval methods implemented by different participants
Walter Villaneuva, William J. Boettinger, Geoffrey B. McFadden, James A. Warren
A diffuse-interface model of reactive wetting with intermetallic formation is developed that incorporates fluid flow, phase change, and solute diffusion. The model is based on the total molar Gibbs energy of a ternary system with four phases. Numerical
Marcus T. Cicerone, Khaled A. Aamer, Young J. Lee, Eric Vartiainen
Phase retrieval methods are used to recover Raman spectra from multiplex and broadband CARS signals. Two methods are in widespread use, one based on maximum entropy (MEM), and one based on a modified time-domain Kramers-Kronig (TDKK) method. Here we
Secret keys can be established through the use of Quantum channels monitored through classical channels which can be thought of as being error free. Because many of the feasible implementation of the quantum channel are subject to erasures often massive-
Valerie R. Coffman, Andrew C. Reid, Stephen A. Langer, Gunay Dogan
Recent advances in experimental techniques (micro CT scans, automated serial sectioning, electron back-scatter diffraction, synchrotron radiation x-rays) have made it possible to characterize the full, three dimensional structure of real materials. Such
Due to the isotropy of d-dimensional hyperbolic space, there exists a spherically symmetric fundamental solution for its corresponding Laplace-Beltrami operator. The R-radius hyperboloid model of hyperbolic geometry with R > 0 represents a Riemannian
At peak luminosity, Type Ia supernovae can be even brighter than their parent galaxies, and their light curves display a very uniform and regular behavior. This makes them excellent candidates for a role as standard candles in measuring the distances to