NDLI: Affine differential signatures for gray level images of planar shapes

Content Provider	IEEE Xplore Digital Library
Author	Kimmel, R.
Copyright Year	1996
Description	Author affiliation: Lawrence Berkeley Lab., California Univ., CA, USA (Kimmel, R.)
Abstract	A framework for generating differential affine invariant signatures based on the gray level images of planar shapes is introduced. Invariant signatures and their corresponding arclengths are computed for planar shapes. These signatures are useful for pattern recognition and classification under partial occlusion. We deal with implementable signatures, which practically means using up to second order derivatives. An approximation of the affine curvature signature is introduced. In this case the Euclidean curvature is used for generating the affine arclength. Both curvatures are computed from the gray level image, using the implicit representation of the object's boundary as it appears in the image. We also present robust signatures when 'projection invariance' of the gray levels is assumed. An invariant gradient magnitude along the geometric scale space is defined and used as an invariant edge enhancer. The geometric heat equation for weighted (by the enhancer) affine arclength definition is shown to yield an invariant denoising algorithm. It is used to clean noisy images before computing invariant features. The denoising operation deforms the geometry of the object in a predictable invariant way, unlike traditional image denoising algorithms, so that the mapping between planar shapes after the denoising is preserved.
Starting Page	45
Ending Page	49
File Size	516546
Page Count	5
File Format	PDF
ISBN	081867282X
ISSN	10514651
DOI	10.1109/ICPR.1996.545989
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1996-08-25
Publisher Place	Austria
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Shape Noise reduction Equations Noise shaping Geometry Space heating Laboratories World Wide Web Pattern recognition Robustness
Content Type	Text
Resource Type	Article
Subject	Computer Vision and Pattern Recognition

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
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