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Parametric Object Detection Using Estimation of Distribution Algorithms
Published in Siddhartha Bhattacharyya, Anirban Mukherjee, Indrajit Pan, Paramartha Dutta, Arup Kumar Bhaumik, Hybrid Intelligent Techniques for Pattern Analysis and Understanding, 2017
Ivan Cruz-Aceves, Jesus Guerrero-Turrubiates, Juan Manuel Sierra-Hernandez
The generalized HT algorithm was first used to find lines in images. This is the most basic form of the HT, since it can represent the object by using only two parameters. Equation 4.1 represents a line in the Euclidean space as follows: y=mx+b, where b is the intersection with the y-axis and m is the slope of the line given by the following: m=y2−y1x2−x1, where (xi,yi) are two points in the Euclidean space that belong to the line. Since Equation 4.1 cannot represent all the lines because m is undetermined when x2=x1, another representation of the line is required. Duda and Hart [2] proposed to use the Hesse normal form to represent a line. This parametric form is described as follows: r=xcos(θ)+ysin(θ), where r represents the perpendicular distance from the line to the origin and θ the angle of the line, respectively. Consequently, one point of the true line is mapped at a time, and a number of lines can pass through this point, then several angles and distances must be tested. Figure 4.1 illustrates a set of (θ,r) of one single point, which forms a sine wave in the Hough space.
Automatic extraction of 1D barcodes from video scans for drone-assisted inventory management in warehousing applications
Published in International Journal of Logistics Research and Applications, 2018
Lichao Xu, Vineet R. Kamat, Carol C. Menassa
To estimate barcode direction, Hough transform is generally used to recognise bar features (straight lines) in the image (Muniz, Junco, and Otero 1999; Wang et al. 2016). Instead of traditional representation of straight lines, it uses the Hesse normal form (Duda and Hart 1972) and thus associates each straight line with a parameter pair , where is the distance from origin to the straight line to be represented and is the angle between x axis and the line passing through the origin as well as perpendicular to the line. It follows that in the space, representation of all straight lines passing through point forms a sinusoidal curve and the intersection of such curves gives the parameter of the straight line connecting the points corresponding to the intersected curves. Intersection multiplicity values at different parameters form a parameter space matrix (also called Hough space) whose rows and columns correspond to and values, which describes the voting scores for all values in the space (Duda and Hart 1972).
Mobile thermal mapping for matching of infrared images with 3D building models and 3D point clouds
Published in Quantitative InfraRed Thermography Journal, 2018
The given 3D building model is added as additional virtual observations. A 3D object point of a façade has to be on the façade. If the façade plane is defined in Hesse normal form