Ứng dụng các bộ lọc có hướng Gaussian trong việc phát hiện các khuyết tật trên bề mặt kết cấu

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  1. 14 Hoàng Nhật Đức / Tạp chí Khoa học và Công nghệ Đại học Duy Tân 5(48) (2021) 14-18 5(48) (2021) 14-18 Applications of Gaussian Steerable Filters in detecting structural damages Ứng dụng các bộ lọc có hướng Gaussian trong việc phát hiện các khuyết tật trên bề mặt kết cấu Hoàng Nhật Đứca,b Hoang Nhat Duca,b* aInstitute of Research and Development, Duy Tan University, Da Nang, 550000, Vietnam aViện Nghiên cứu và Phát triển Công nghệ Cao, Đại học Duy Tân, Đà Nẵng, Việt Nam bFaculty of Civil Engineering, Duy Tan University, Da Nang, 550000, Vietnam bKhoa Xây dựng, Trường Đại học Duy Tân, Đà Nẵng, Việt Nam (Ngày nhận bài: 23/5/2021, ngày phản biện xong: 29/5/2021, ngày chấp nhận đăng: 12/10/2021) Abstract Periodic structural health survey is very crucial to guarantee the safety and serviceability of civil engineering structures. This study aims at developing a computer vision tool to detect defects on surface of civil engineering structures by means of Gaussian steerable filters. This tool has been developed with Visual C#. NET to facilitate its implementations. The developed software programs have been tested with images containing various defects such as crack, pothole, and spalling. Key words: Gaussian Steerable Filter; Structural health survey; Structural damage; Computer vision; Software development. Tóm tắt Khảo sát định kỳ là một nhiệm vụ quan trọng để đảm bảo sự an toàn và khả năng làm việc của kết cấu. Nghiên cứu của chúng tôi phát triển một công cụ thị giác máy tính để phát hiện các khuyết tật trên bề mặt kết cấu dân dụng sử dụng các bộ lọc có hướng Gaussian. Công cụ này đã được chúng tôi phát triển với ngôn ngữ Visual C# .NET và xây dựng thành phần mềm để tăng tính ứng dụng của công cụ. Chương trình phần mềm đã được kiểm chứng với các mẫu ảnh chứa các khuyết tật trên bề mặt kết cấu bao gồm vết nứt, hố trên đường, và vết lở trên tường bê tông. Từ khóa: Bộ Lọc Gabor, Khảo Sát Trạng Thái Kết Cấu; Hư Hỏng Kết Cấu; Thị Giác Máy Tính. 1. Introduction the data regarding structural health. Accurate The acceptable level of a structure’s and timely recognition of structural have serviceability is crucial to ensure the safety of become an integral part of the people. Accordingly, maintenance agencies building/infrastructure maintenance system. need to perform periodically survey and collect The reason is that early detection of structural *Corresponding author: Hoang Nhat Duc, Institute of Research and Development, Duy Tan University, Da Nang, 550000, Vietnam; Faculty of Civil Engineering, Duy Tan University, Da Nang, 550000, Vietnam; Email: hoangnhatduc@duytan.edu.vn
  2. Hoàng Nhật Đức / Tạp chí Khoa học và Công nghệ Đại học Duy Tân 5(48) (2021) 14-18 15 defects can help to establish cost-effective has been successfully employed in other tasks rehabilitation methods and prevent reduction in of the computer vision field [26-31]. service life of various structures [1-3]. It is noted that in the GSF algorithm, a linear Crack is a widely encountered form of combination of Gaussian second derivatives is surface degradation for buildings and asphalt used as a basic filter. For an image I(x,y), a 2-D pavements [4-7]. The detection of crack in Gaussian at a certain pixel coordination is pavement is crucial for road maintenance. It is expressed as follows: because if cracks are recognized timely, the 1 (xy22 ) G( x , y , ) exp[ ] (1) required cost of maintenance can be saved up to 22 22  80% [8]. Besides crack, various forms of where  denotes a tunable parameter of the structural damages can be found such as pothole Gaussian function variance. for pavements and spall or bughole for concrete elements [9-14]. Thus, periodic structural health The first order derivatives used to compute o o survey is mandatory to detect these forms of the filters at 0 and 90 are given by [22, 32]: damages early to preclude accidents caused by G(,,)() x y x x22 y G exp[ ] (2) structural degradation [15-20]. 0 x 22 42  In recent years, computer vision has proved 22 to be a capable tool for automatic structural G(,,)() x y y x y (3) G90 42exp[ ] heath survey. The computer-based approach y 22   has significantly enhanced the productivity and A filter at an arbitrary orientation β is given objectiveness of the structural surveying by [22]: process. With such motivation, the current G cos( ) G sin( ) G (4) study aims at developing a software program  0 90 based on computer vision to analyze digital It is worth noticing that when the value of images and highlight various forms of the Gaussian function variance (r) is fixed, the structural damages. Gaussian steerable filters final filter response is a combined result of GSF are used to automatically analyze the image and with a set of orientation . The value of is detect edges representing damages on concrete selected from a set of angles such as 23 surface including spall, crack, bughole, and {0, , , }and pothole. The edges revealed by the Gaussian 4 4 4 2345 steerable filters can be subsequently employed {0, , , , , , }. 6 6 6 6 6 for further damage categorization and measurement. The final SF response at the pixel location of (x,y) in the image I is computed as follows: 2. Gaussian Steerable Filters for image processing R(x, y) F(x, y, ,)* I(x, y) The Gaussian Steerable Filter (GSF) [21, 22] (5) is essentially an image enhancement technique where ‘*’ is the convolution operator. that employs orientation-selective convolution 3. Applications of the newly developed kernels. As demonstrated in the previous works program [23-25], this image enhancement technique is particularly useful to differentiate the crack The performance of the newly developed patterns and the background texture of asphalt software program based on GSF used for pavement. In addition to crack detections, GSF structural damage detection is demonstrated in
  3. 16 Hoàng Nhật Đức / Tạp chí Khoa học và Công nghệ Đại học Duy Tân 5(48) (2021) 14-18 four categories of defects. The image samples successfully highlighted the edges caused by have been collected by the Cannon EOS M10 damages in the surfaces of various structures: (CMOS 18.0 MP) and Nikon D5100. The size (a) concrete surface with crack, (b) asphalt of an image sample is 128x128 pixels. The pavement with crack, (c) wall with spalling, (d) images processed by GSF are demonstrated in asphalt pavement with a pothole, and (e) Fig. 1. As can be seen from the figure, the concrete column with a bughole. integrated computer vision model has (a) (b) (c) (d) (e) Fig. 1 Image analyses with images containing: (a) wall crack, (b) pavement crack, (c) spall in wall surface, (d) pavement pothole, and (e) concrete bughole
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