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Circular object detection using a modified Hough transform

100%
Smereka M., Dulęba I.
International Journal of Applied Mathematics and Computer Science
|
2008
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tom 18
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nr 1
85-91
EN
A practical modification of the Hough transform is proposed that improves the detection of low-contrast circular objects. The original circular Hough transform and its numerous modifications are discussed and compared in order to improve both the efficiency and computational complexity of the algorithm. Medical images are selected to verify the algorithm. In particular, the algorithm is applied to localize cell nuclei of cytological smears visualized using a phase contrast microscope.
2
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Straight-lines modelling using planar information for monocular SLAM

100%
Santana A., Medeiros A.
International Journal of Applied Mathematics and Computer Science
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2012
|
tom 22
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nr 2
409-421
EN
This work proposes a SLAM (Simultaneous Localization And Mapping) solution based on an Extended Kalman Filter (EKF) in order to enable a robot to navigate along the environment using information from odometry and pre-existing lines on the floor. These lines are recognized by a Hough transform and are mapped into world measurements using a homography matrix. The prediction phase of the EKF is developed using an odometry model of the robot, and the updating makes use of the line parameters in Kalman equations without any intermediate stage for calculating the distance or the position. We show two experiments (indoor and outdoor) dealing with a real robot in order to validate the project.
3
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Segmentation of breast cancer fine needle biopsy cytological images

88%
Hrebień M., Steć P., Nieczkowski T., Obuchowicz A.
International Journal of Applied Mathematics and Computer Science
|
2008
|
tom 18
|
nr 2
159-170
EN
This paper describes three cytological image segmentation methods. The analysis includes the watershed algorithm, active contouring and a cellular automata GrowCut method. One can also find here a description of image pre-processing, Hough transform based pre-segmentation and an automatic nuclei localization mechanism used in our approach. Preliminary experimental results collected on a benchmark database present the quality of the methods in the analyzed issue. The discussion of common errors and possible future problems summarizes the work and points out regions that need further research.
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