Differential geometry in array processing, Athanassios Manikas, Imperial College Press, London, U.K., 2004, 240 pages, ISBN 1-86094-422-1, (hard back) US$58/43, ISBN 1-86094-423-X (paper back) US$34/25MusaPlant protectionBiological control...
The theory and methods of digital geometry processing has been a hot research area in computer graphics, as geometric models serves as the core data for 3D graphics applications. The purpose of this paper is to introduce some recent advances in digital geometry processing, particularly mesh fairing...
Analysing the differential light response of only 8 pixels with the computer algorithm can realize the capability of colorful imaging and a computational spectral resolution of 4.7 nm in a low-cost and lensless device geometry. Through machine learning to mimic the differential current signal under...
a main feature of noncommutative differential geometry is the non uniqueness of the calculus. Even on quantum groups and requiring (co)invariance conditions there are interesting different calculi [47]. In this perspective, the definition of a ...
The course provides essential mathematical background as well as a large array of real-world examples and applications. It also provides a look at recent developments in digital geometry processing and discrete differential geometry. Topics include: curves and surfaces, curvature, connections and ...
The book Shirokov and Shirokov (1959) provides the most comprehensive treatise on affine differential geometry that I am aware of, see also Guggenheimer (). All necessary definitions and formulae are provided further in text. Coordinates of the minimum-jerk trajectories constrained by via-points ...
Traditional data-driven deep learning models often struggle with high training costs, error accumulation, and poor generalizability in complex physical processes. Physics-informed deep learning (PiDL) addresses these challenges by incorporating physical
FIG. 1B Geometry used for calculating mixed-order partial directional derivatives. FIG. 2 Positions of acoustic vector sensors on the proposed microphone array. FIG. 3 The block diagram showing the stages of processing to obtain a steered beam. FIG. 4 The spherical harmonic components up to n...
Therefore, we differentiate the focus volume Q along the frame dimension to build the differential focus volume: V^i = \left \{ \begin {array}{ll} Q^{i} - Q^{i+1}, & i = 1, \ldots , N-1 \\ Q^i, & i=N \end {array} \right . (1) where i is the index ...
The developed approach is presented in this section and consists of an aerodynamic module (including aero-propulsive interactions) and a non-linear six-degrees-of-freedom flight dynamics model, in combination with aircraft and propeller geometry. The overall framework implementation will be discussed in...