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Bessel Image Sharpness Analysis, Advances in Bessel Image Sharpness Analysis
  • Arjuna Pilippu Hewa Don,
  • James F. Peters
Arjuna Pilippu Hewa Don
University of Manitoba
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James F. Peters
Department of Electrical and Computer Engineering, University of Manitoba 75A Chancellor’s Circle, Winnipeg, MB R3T 5V6 CANADA and Department of Mathematics, Adiyaman University, 02040 Adiyaman, Turkey
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Abstract

This paper introduces advances in the use of Bessel functions (cylinder functions) in achieving optimal sharpness of shapes delineated by collections of holes (dark valley regions) and bright regions in different areas of a video frame. An image hole is an island of low voxel intensities surrounded by varying voxel intensity peaks. The basic approach is to identify dominant collections of lights (high voxel intensity peaks) and darks (low voxel intensity clusters) in video frames. A main finding in this paper is that surface objects (recorded in images) are sharper wherever there are preponderant contrasting differences between image lights and darks. These contrasting differences lead to the highly accurate detection of shape holes (dark valleys) that delineate surface shapes recorded in sequences of video frames). With the use of cylindrical Bessel functions, contrasting differences between peaks and valleys can be measured in terms of voxel intensities and voxel indices.

Peer review status:ACCEPTED

08 Nov 2020Submitted to Mathematical Methods in the Applied Sciences
09 Nov 2020Submission Checks Completed
09 Nov 2020Assigned to Editor
19 Nov 2020Reviewer(s) Assigned
03 Mar 2021Review(s) Completed, Editorial Evaluation Pending
04 Mar 2021Editorial Decision: Revise Major
16 Mar 20211st Revision Received
16 Mar 2021Submission Checks Completed
16 Mar 2021Assigned to Editor
18 Mar 2021Reviewer(s) Assigned
19 Mar 2021Review(s) Completed, Editorial Evaluation Pending
27 Mar 2021Editorial Decision: Revise Minor
09 Apr 20212nd Revision Received
09 Apr 2021Submission Checks Completed
09 Apr 2021Assigned to Editor
09 Apr 2021Reviewer(s) Assigned
11 Apr 2021Review(s) Completed, Editorial Evaluation Pending
11 Apr 2021Editorial Decision: Revise Minor
13 Apr 20213rd Revision Received
13 Apr 2021Submission Checks Completed
13 Apr 2021Assigned to Editor
13 Apr 2021Review(s) Completed, Editorial Evaluation Pending
14 Apr 2021Editorial Decision: Accept