2018
DOI: 10.1109/tnnls.2017.2648038
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A Fast Algorithm of Convex Hull Vertices Selection for Online Classification

Abstract: Reducing samples through convex hull vertices selection (CHVS) within each class is an important and effective method for online classification problems, since the classifier can be trained rapidly with the selected samples. However, the process of CHVS is NP-hard. In this paper, we propose a fast algorithm to select the convex hull vertices, based on the convex hull decomposition and the property of projection. In the proposed algorithm, the quadratic minimization problem of computing the distance between a p… Show more

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Cited by 28 publications
(10 citation statements)
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“…Image segmentation results needed to be repaired using morphological algorithms. The morphological algorithms used in this paper included dilation (see Equation (4)), blob analysis (see Equation (5)), and area filling surrounded by convex hull points [31,32] (see Equation 6 As is shown in Figure 8, the segmentation result of the threshold segmentation algorithm was partially misjudged because of the interference of the broken substrate, vermiculite, and shadow. Image segmentation results needed to be repaired using morphological algorithms.…”
Section: C1 C2 C1 C2mentioning
confidence: 99%
See 1 more Smart Citation
“…Image segmentation results needed to be repaired using morphological algorithms. The morphological algorithms used in this paper included dilation (see Equation (4)), blob analysis (see Equation (5)), and area filling surrounded by convex hull points [31,32] (see Equation 6 As is shown in Figure 8, the segmentation result of the threshold segmentation algorithm was partially misjudged because of the interference of the broken substrate, vermiculite, and shadow. Image segmentation results needed to be repaired using morphological algorithms.…”
Section: C1 C2 C1 C2mentioning
confidence: 99%
“…Image segmentation results needed to be repaired using morphological algorithms. The morphological algorithms used in this paper included dilation (see Equation (4)), blob analysis (see Equation (5)), and area filling surrounded by convex hull points [31,32] (see Equation 6).…”
Section: C1 C2 C1 C2mentioning
confidence: 99%
“…Thus, the concepts of convex hull and α-hull will be reviewed briefly below. Definition 4. convex hull [30]: Given a set P ¼ fp 0 ; p 1 ; . .…”
Section: Geometric Model For Event Monitoringmentioning
confidence: 99%
“…Singh et al [21] proposed the convex hull approach in conjunction with Gaussian mixture model in order to improve the detection accuracy without capitalizing much of computation time. CHVS [22] is a fast convex hull vertices selection algorithm for online classification and the proposed method converts convex hull into a linear equation problem with a low computational complexity.…”
Section: Related Workmentioning
confidence: 99%