title: Segmentation of discrete vector fields.
abstract: In this paper, we propose an approach for 2D discrete vector field segmentation based on the Green function and normalized cut. The method is inspired by discrete Hodge Decomposition such that a discrete vector field can be broken down into three simpler components, namely, curl-free, divergence-free, and harmonic components. We show that the Green Function Method (GFM) can be used to approximate the curl-free and the divergence-free components to achieve our goal of the vector field segmentation. The final segmentation curves that represent the boundaries of the influence region of singularities are obtained from the optimal vector field segmentations. These curves are composed of piecewise smooth contours or streamlines. Our method is applicable to both linear and nonlinear discrete vector fields. Experiments show that the segmentations obtained using our approach essentially agree with human perceptual judgement.
authors.affiliation: Department of Computer Science and Engineering, Fudan University, Shanghai, China. hongyuli@fudan.edu.cn
authors.forename: Hongyu
authors.initials: H
authors.lastname: Li
authors.forename: Wenbin
authors.initials: W
authors.lastname: Chen
authors.forename: I-Fan
authors.initials: IF
authors.lastname: Shen
mesh_terms: D000465:Algorithms; D003196:Computer Graphics; D003198:Computer Simulation; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D008962:Models, Theoretical; D012212:Rheology / Q000379:methods*; D012815:Signal Processing, Computer-Assisted; D014584:User-Computer Interface