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5. Efficient Approximation of Curve-Shaped Objects in Based on the Maximum Difference Between Discrete Curvature Values

Author

Bhattacharjee, Sutanay, Pal, Shyamosree, Filipe, Joaquim, Editorial Board Member, Ghosh, Ashish, Editorial Board Member, Prates, Raquel Oliveira, Editorial Board Member, Zhou, Lizhu, Editorial Board Member, Raman, Balasubramanian, editor, Murala, Subrahmanyam, editor, Chowdhury, Ananda, editor, Dhall, Abhinav, editor, and Goyal, Puneet, editor

Published
2022
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12. On Chord and Sagitta in ${\mathbb Z}^2$: An Analysis towards Fast and Robust Circular Arc Detection

Author

Bera, Sahadev, Pal, Shyamosree, Bhowmick, Partha, and Bhattacharya, Bhargab B.

Subjects
Computer Science - Computational Geometry, Computer Science - Computer Vision and Pattern Recognition
Abstract

Although chord and sagitta, when considered in tandem, may reflect many underlying geometric properties of circles on the Euclidean plane, their implications on the digital plane are not yet well-understood. In this paper, we explore some of their fundamental properties on the digital plane that have a strong bearing on the unsupervised detection of circles and circular arcs in a digital image. We show that although the chord-and-sagitta properties of a real circle do not readily migrate to the digital plane, they can indeed be used for the analysis in the discrete domain based on certain bounds on their deviations, which are derived from the real domain. In particular, we derive an upper bound on the circumferential angular deviation of a point in the context of chord property, and an upper bound on the relative error in radius estimation with regard to the sagitta property. Using these two bounds, we design a novel algorithm for the detection and parameterization of circles and circular arcs, which does not require any heuristic initialization or manual tuning. The chord property is deployed for the detection of circular arcs, whereas the sagitta property is used to estimate their centers and radii. Finally, to improve the accuracy of estimation, the notion of restricted Hough transform is used. Experimental results demonstrate superior efficiency and robustness of the proposed methodology compared to existing techniques., Comment: 34 pages

Published
2014

18. A Digital-Geometric Approach for Computing Area Coverage in Wireless Sensor Networks

Author

Saha, Dibakar, Das, Nabanita, Pal, Shyamosree, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, and Natarajan, Raja, editor

Published
2014
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20. GOAL: Towards Understanding of Graphic Objects from Architectural to Line Drawings

Author

Pal, Shyamosree, Bhowmick, Partha, Biswas, Arindam, Bhattacharya, Bhargab B., Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Ogier, Jean-Marc, editor, Liu, Wenyin, editor, and Lladós, Josep, editor

Published
2010
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27. Surface Reconstruction: Roles in the Field of Computer Vision and Computer Graphics.

Author

Dhar, Soumi and Pal, Shyamosree

Subjects
*COMPUTER vision, *SURFACE reconstruction, *VISUAL fields, *IMAGE reconstruction, *IMAGE analysis, *COMPUTER graphics
Abstract

Surface Reconstruction is the most potent aspect of 3D computer vision. It allows recapturing or imitating of the shape of real objects. It also provides sufficient knowledge regarding the mathematical foundation for rendering applications which are widely used for analyzing medical volume data, modeling, 3D interior designing, architectural designing. In our paper, we have mentioned various algorithms and approaches for surface reconstruction and their applications. Moreover, we have tried to emphasize the necessity of surface reconstruction for solving image analysis related problem. [ABSTRACT FROM AUTHOR]

Published
2022
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