IEEE Transactions on Pattern Analysis and Machine Intelligence
A high speed algorithm for circular object location
Pattern Recognition Letters
A survey of the Hough transform
Computer Vision, Graphics, and Image Processing
A new curve detection method: randomized Hough transform (RHT)
Pattern Recognition Letters
A probabilistic Hough transform
Pattern Recognition
CVGIP: Image Understanding
The Hough Transform Versus the UpWrite
IEEE Transactions on Pattern Analysis and Machine Intelligence
Finding circles by an array of accumulators
Communications of the ACM
Use of the Hough transformation to detect lines and curves in pictures
Communications of the ACM
Recovering 3D motion of multiple objects using adaptive Hough transform
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Planar 3D Object Detection by Using the Generalized Hough Transform
ICIAP '99 Proceedings of the 10th International Conference on Image Analysis and Processing
IEEE Transactions on Pattern Analysis and Machine Intelligence
SPReAD: on spherical part recognition by axial discretization in 4d hough space
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
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The paper is addressed to detect the parameters of a sphere-center coordinates and radius based on a stack of CT slices. It is proposing a new hierarchical Hough transform approach. In the first step, all slices are taken into consideration sequentially and a 2D accumulator array is used to obtain the coordinates (x"0,y"0), the projecting value of the sphere center into every X-Y-plane. In this step, also a new type of 2D Hough transform for circle or circular detection is proposed based on an effective point filtering. In the second step, the radii of the circles in the different slices are obtained using 1D accumulator arrays. In the last step, the coordinate z"0 and the radius R of the sphere are acquired using a 2D planar Hough transform based on the correlation between the radii of circles, the coordinates z of the slice and the sphere radius. The hierarchical Hough transform is applied to analyze the structure of femoral head of human hip joints. Compared to the established Hough transform techniques for 3D object detection, the hierarchical Hough transform reduces storage space and calculation time significantly and it has a good robustness to noise in the images.