2016
DOI: 10.1109/tip.2016.2529720
|View full text |Cite
|
Sign up to set email alerts
|

Multiscale Edge Detection using a Finite Element Framework for Hexagonal Pixel-based Images

Abstract: In recent years, the processing of hexagonal pixel-based images has been investigated, and as a result, a number of edge detection algorithms for direct application to such image structures have been developed. We build on this paper by presenting a novel and efficient approach to the design of hexagonal image processing operators using linear basis and test functions within the finite element framework. Development of these scalable first order and Laplacian operators using this approach presents a framework … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
4

Citation Types

0
12
0

Year Published

2017
2017
2022
2022

Publication Types

Select...
5
4

Relationship

0
9

Authors

Journals

citations
Cited by 18 publications
(12 citation statements)
references
References 30 publications
0
12
0
Order By: Relevance
“…Due to a higher sampling efficiency, consistent connectivity and higher angular resolution of hexagonal grids [ 3 ] in comparison to square grids, in the last four decades hexagonal grids have been investigated in numerous methods and applications [ 3 , 5 , 6 , 7 ], which include image reconstruction [ 5 ], edge detection [ 7 , 8 ], image segmentation [ 9 ], and motion estimation [ 10 ]. Different algorithms and mathematical models have emerged in recent years to acquire hexagonal grids.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Due to a higher sampling efficiency, consistent connectivity and higher angular resolution of hexagonal grids [ 3 ] in comparison to square grids, in the last four decades hexagonal grids have been investigated in numerous methods and applications [ 3 , 5 , 6 , 7 ], which include image reconstruction [ 5 ], edge detection [ 7 , 8 ], image segmentation [ 9 ], and motion estimation [ 10 ]. Different algorithms and mathematical models have emerged in recent years to acquire hexagonal grids.…”
Section: Introductionmentioning
confidence: 99%
“…Based on the spiral architecture, a design procedure for the development of hexagonal tri-directional derivative operators is present in [ 15 ], that can be applied directly to hexagonal images and can be used to improve both the efficiency and accuracy with respect to feature extraction on conventional intensity images. Although the architecture preserves the main properties of object, it loses some degree of resolution, which has an impact, especially on the result of edge detection applications [ 8 ]. Later this architecture was improved by Wu et al [ 16 ], by mapping the rectangular grids to hexagonal ones, processing images on hexagonal grids, and remapping the results to the square grids.…”
Section: Introductionmentioning
confidence: 99%
“…A novel technique for implementing hexagonal image processing operators, utilizing text functions and linear basis was introduced by Gardiner B et al [3]. The edge maps are constructed at various scales by reuse of seven point linear operators and detailed analysis results were presented.…”
Section: Introductionmentioning
confidence: 99%
“…At present, the edge feature extraction technology of multifunctional digital ship image has been widely used in the field such as target tracking, fingerprint recognition, laser remote sensing image segmentation and many others. The edge and contour information extraction of multifunctional digital ship image, has become one of the hot research topics [10][11][12]. In reference [13], a method of extracting edge and contour information of multifunctional digital ship image based on self-enhancement is proposed.…”
Section: Introductionmentioning
confidence: 99%