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IEEE Transactions on Information Theory, ISSN 0018-9448, 11/2019, Volume 65, Issue 11, pp. 7480 - 7513
We establish the fundamental limits of lossless analog compression by considering the recovery of arbitrary random vectors x ∈ R m from the noiseless linear... 
Error probability | Atmospheric measurements | geometric measure theory | Measurement uncertainty | lossless compression | Analog compression | Particle measurements | Loss measurement | Decoding | Compressed sensing | Minkowski dimension
Journal Article
Journal of Visual Communication and Image Representation, ISSN 1047-3203, 2005, Volume 16, Issue 6, pp. 688 - 733
Journal Article
Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 07/2013, Volume 35, Issue 1, pp. 64 - 110
We obtain sharp estimates on the growth rate of stable commutator length on random (geodesic) words, and on random walks, in hyperbolic groups and groups... 
MATHEMATICS | 2ND BOUNDED COHOMOLOGY | MATHEMATICS, APPLIED | QUASIMORPHISMS | LIMIT-THEOREMS | LENGTH | Growth rate | Geodetics | Dynamical systems | Infinity | Compressing | Production methods | Random walk | Commutators | Translations | Statistics | Automorphisms
Journal Article
Nature Communications, ISSN 2041-1723, 12/2018, Volume 9, Issue 1, pp. 1506 - 10
Knots form when polymers self-entangle, a process enhanced by compaction with important implications in biological and artificial systems involving chain... 
MONTE-CARLO | PROBABILITY | PHAGE CAPSIDS | MULTIDISCIPLINARY SCIENCES | CHANNELS | PROTEIN KNOTS | LINEAR-POLYMERS | MOLECULES | DNA - chemistry | Nanotechnology - methods | Models, Molecular | Nanostructures - chemistry | Polymers - chemistry | Lab-On-A-Chip Devices | Pressure | Compression | Energy use | Nanofluids | Time compression | Scaling | Polymers | Free energy | Deoxyribonucleic acid--DNA | Knots | Fluidics
Journal Article
Multiscale Modeling and Simulation, ISSN 1540-3459, 2005, Volume 4, Issue 3, pp. 992 - 1039
Finding efficient geometric representations of images is a central issue to improving image compression and noise removal algorithms. We introduce bandelet... 
Wavelets | Bandelets | Nonlinear approximation | Geometric representation | bandelets | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | nonlinear approximation | REPRESENTATIONS | wavelets | geometric representation | PHYSICS, MATHEMATICAL
Journal Article
Journal of Alloys and Compounds, ISSN 0925-8388, 12/2016, Volume 688, pp. 1058 - 1065
Hot deformation behavior of rolled Mg–4Li–1Al sheets was investigated in the temperature range of 300–500 °C, and in the strain rate range of 1 × 10 –1 × 10  s... 
Geometrical softening | cDRX | Mg-Li-Al | Hot compression | Texture | Constitutive analysis | MATERIALS SCIENCE, MULTIDISCIPLINARY | METALLURGY & METALLURGICAL ENGINEERING | CHEMISTRY, PHYSICAL | AZ31 | MECHANISMS | DYNAMIC RECRYSTALLIZATION | ELEVATED-TEMPERATURES | AZ41M MAGNESIUM ALLOY | ZR ALLOY | Activation energy | Analysis | Alloys
Journal Article
Journal of the London Mathematical Society, ISSN 0024-6107, 02/2017, Volume 95, Issue 1, pp. 94 - 114
Let S be a closed, orientable surface. We show that the automorphism group of the compression body graph of S is the (extended) mapping class group Mod(S).... 
57M99 (primary) | MATHEMATICS | COMPLEX | BODIES | MAPPING CLASS-GROUPS | CURVES | TEICHMULLER-SPACES | SURFACES | Mathematics - Geometric Topology
Journal Article
International Journal of Theoretical Physics, ISSN 0020-7748, 10/2017, Volume 56, Issue 10, pp. 3147 - 3163
Quantum computation is becoming an important and effective tool to overcome the high real-time computational requirements of classical digital image... 
Quantum three-dimensional model | Quantum computation | Quantum point cloud | Quantum image processing | STORAGE | WATERMARK STRATEGY | ENCRYPTION | PHYSICS, MULTIDISCIPLINARY | ALGORITHM | REPRESENTATION | RETRIEVAL | IMAGE GEOMETRIC TRANSFORMATIONS | FOURIER-TRANSFORM | Information science | Models | Equipment and supplies | Image processing | Clouds | Analysis
Journal Article
International Journal of Solids and Structures, ISSN 0020-7683, 01/2018, Volume 130-131, pp. 232 - 247
Imperfections from manufacturing process can cause a scattered reduction of the load-carrying capacity or buckling load of axially compressed cylindrical shell... 
Knockdown factor (KDF) | Cylindrical shell | Fourier series | Buckling test | Geometric imperfection | DESIGN | LOAD | BEHAVIOR | COMPOSITE CYLINDERS | INTERNAL-PRESSURE | MECHANICS | IMPERFECTION SENSITIVITY | COLLAPSE | OPTIMIZATION | SMEARED STIFFENER METHOD | KNOCK-DOWN FACTORS | Analysis | Measuring instruments
Journal Article
Measurement, ISSN 0263-2241, 07/2019, Volume 140, pp. 126 - 132
Encoding complexity reduction is an active area of research in the field of fractal image compression. In this proposed method, affine transformation is... 
Gradient | Fractal image | Cayley table | Affine transformation | Geometric composition | INSTRUMENTS & INSTRUMENTATION | ENGINEERING, MULTIDISCIPLINARY | ALGORITHM | WAVELET TRANSFORM
Journal Article
IEEE Transactions on Visualization and Computer Graphics, ISSN 1077-2626, 01/1999, Volume 5, Issue 1, pp. 47 - 61
Edgebreaker is a simple scheme for compressing the triangle/vertex incidence graphs (sometimes called connectivity or topology) of three-dimensional triangle... 
Solid modeling | Analytical models | Costs | Computational modeling | Computer graphics | Computer architecture | Entropy coding | Topology | Application software | Petroleum | COMPUTER SCIENCE, SOFTWARE ENGINEERING | computer graphics | solid modeling | ALGORITHM | geometric representation | compression | 3D models | GRAPHS | Compressing | Triangles | Graphs | Entropy | Boundaries | Incidence | Three dimensional
Journal Article
Composites Part A, ISSN 1359-835X, 06/2018, Volume 109, pp. 171 - 183
Knitted reinforced single polymer laminate composites based on polyamide 6 ( ) were produced by compression molding of polyamide 6 microparticles... 
Polyamide 6 | Knitted textile reinforcements | Tensile properties | Single polymer composite | NYLON-6 | FIBER | ANIONIC-POLYMERIZATION | BEHAVIOR | MATERIALS SCIENCE, COMPOSITES | LACTAMS | ENGINEERING, MANUFACTURING | MECHANICAL-PROPERTIES | Textile fabrics | Polymerization | Surface active agents | Laminated materials | Polyamides
Journal Article
Journal Article