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Geometric computing for freeform architecture [PDF]
Journal of Mathematics in Industry, 2011 Geometric computing has recently found a new field of applications, namely the various geometric problems which lie at the heart of rationalization and construction-aware design processes of freeform architecture.
Pottmann, Helmut, Wallner, Johannes
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A Convolutional Neural Network Approach to the Classification of Engineering Models
IEEE Access, 2021 This paper presents a deep learning approach for the classification of Engineering (CAD) models using Convolutional Neural Networks (CNNs). Owing to the availability of large annotated datasets and also enough computational power in the form of GPUs ...
Bharadwaj Manda +2 more
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A noncommutative geometric LR rule [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 The geometric Littlewood-Richardson (LR) rule is a combinatorial algorithm for computing LR coefficients derived from degenerating the Richardson variety into a union of Schubert varieties in the Grassmannian.
Edward Richmond +2 more
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IEEE Access, 2021 Conventionally, geometric computing problems are treated as algebraic computing problems by representing a geometric object in a global reference coordinate system. This approach has two problems.
Haiyan Yu, Yuanjun He, Wenjun Zhang
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TLS-FEM INTEGRATED STRUCTURAL DEFORMATION ANALYSIS ON THE BEAMLESS HALL AT NANJING, CHINA [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2021 A method integrating terrestrial laser scanning (TLS) and finite element modelling (FEM) is proposed in this study. It aims at assessing the structural deformation of a historic brick-masonry building, the Beamless Hall at Linggu Temple in Nanjing, China.
J. W. Fang, Z. Sun, Y. R. Zhang
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Geometric quantum computation [PDF]
Journal of Modern Optics, 2000 15 pages, LaTeX, uses cite, eepic, epsfig, graphicx and amsfonts. Accepted by J.
Ekert, A +6 more
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Unconventional Geometric Quantum Computation [PDF]
Physical Review Letters, 2003 We propose a new class of unconventional geometric gates involving nonzero dynamic phases, and elucidate that geometric quantum computation can be implemented by using these gates. Comparing with the conventional geometric gate operation, in which the dynamic phase shift must be removed or avoided, the gates proposed here may be operated more simply ...
Wang, ZD, Zhu, SL
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All-microwave nonadiabatic multiqubit geometric phase gate for superconducting qubits
Physical Review Research, 2021 Geometric phase gates are promising tools toward robust quantum computing owing to their robustness against certain control errors and decoherence.
T.-Q. Cai +6 more
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IEEE Access, 2021 Geometric Algebra (GA) has proven to be an advanced language for mathematics, physics, computer science, and engineering. This review presents a comprehensive study of works on Quaternion Algebra and GA applications in computer science and engineering ...
Eduardo Bayro-Corrochano
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Digital Quantum Simulation of Nonadiabatic Geometric Gates via Shortcuts to Adiabaticity
Entropy, 2020 Geometric phases are used to construct quantum gates since it naturally resists local noises, acting as the modularized units of geometric quantum computing.
Yapeng Wang +3 more
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