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Ping Shum - One of the best experts on this subject based on the ideXlab platform.

  • Analysis of nonlinear soliton propagation by the improved FMAT
    Applications and Science of Neural Networks Fuzzy Systems and Evolutionary Computation III, 2000
    Co-Authors: Ping Shum, Hooshang Ghafouri-shiraz
    Abstract:

    a School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore b Electrical and Electronic Engineering Dept., Hong Kong University, Hong Kong An improved fuzzy Mesh Analysis technique is applied to enhance the calculation efficiency of solving the soliton propagation equation. Propagation error due to the splitting of nonlinear soliton propagation equation can be avoided by the improved technique. The adaptive Mesh control is applied to adjust the Mesh size with the slope of the soliton profile such that the allocation of sampling points can be more effective. Therefore, the calculation accuracy as well as efficiency of the fuzzy Mesh Analysis technique can be enhanced significantly.

  • Numerical Analysis of nonlinear soliton propagation phenomena using the fuzzy Mesh Analysis technique
    IEEE Journal of Quantum Electronics, 1998
    Co-Authors: Ping Shum
    Abstract:

    A novel numerical technique, the fuzzy Mesh Analysis technique, is developed to study the nonlinear propagation phenomena of solitons in an optical fiber. The main advantage of this technique is the variation of Mesh size with the shape of soliton pulses along the propagation distance such that: 1) the calculation efficiency can be enhanced and 2) the number of sampling points can be greatly reduced. It is shown that the fuzzy Mesh Analysis technique is capable of analyzing the propagation phenomena of high-power solitons, pulse compression, and soliton interaction in an efficient manner.

Thomas Funkhouser - One of the best experts on this subject based on the ideXlab platform.

  • Randomized cuts for 3D Mesh Analysis
    ACM Transactions on Graphics, 2008
    Co-Authors: Aleksey Golovinskiy, Thomas Funkhouser
    Abstract:

    The goal of this paper is to investigate a new shape Analysis method based on randomized cuts of 3D surface Meshes. The general strategy is to generate a random set of Mesh segmentations and then to measure how often each edge of the Mesh lies on a segmentation boundary in the randomized set. The resulting "partition function" defined on edges provides a continuous measure of where natural part boundaries occur in a Mesh, and the set of "most consistent cuts" provides a stable list of global shape features. The paper describes methods for generating random distributions of Mesh segmentations, studies sensitivity of the resulting partition functions to noise, tessellation, pose, and intra-class shape variations, and investigates applications in Mesh visualization, segmentation, deformation, and registration.

Funkhouserthomas - One of the best experts on this subject based on the ideXlab platform.

Aleksey Golovinskiy - One of the best experts on this subject based on the ideXlab platform.

  • Randomized cuts for 3D Mesh Analysis
    ACM Transactions on Graphics, 2008
    Co-Authors: Aleksey Golovinskiy, Thomas Funkhouser
    Abstract:

    The goal of this paper is to investigate a new shape Analysis method based on randomized cuts of 3D surface Meshes. The general strategy is to generate a random set of Mesh segmentations and then to measure how often each edge of the Mesh lies on a segmentation boundary in the randomized set. The resulting "partition function" defined on edges provides a continuous measure of where natural part boundaries occur in a Mesh, and the set of "most consistent cuts" provides a stable list of global shape features. The paper describes methods for generating random distributions of Mesh segmentations, studies sensitivity of the resulting partition functions to noise, tessellation, pose, and intra-class shape variations, and investigates applications in Mesh visualization, segmentation, deformation, and registration.

Golovinskiyaleksey - One of the best experts on this subject based on the ideXlab platform.