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Boundary detection using quadratic filters: performance criteria and experimental assessment

Perona, Pietro and Malik, Jitendra (1992) Boundary detection using quadratic filters: performance criteria and experimental assessment. In: Applications of Artificial Intelligence X: Machine Vision and Robotics. Proceedings of SPIE. No.1708. Society of Photo-optical Instrumentation Engineers (SPIE) , Bellingham, WA, pp. 326-340. ISBN 9780819408723. https://resolver.caltech.edu/CaltechAUTHORS:20190221-110528503

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Abstract

It is well known that the projection of depth or orientation discontinuities in a physical scene results in image intensity edges which are not ideal step edges but are more typically a combination of steps, peak, and roof profiles. However, most edge detection schemes ignore the composite nature of intensity edges, resulting in systematic errors in detection and localization. We have addressed the problem of detecting and localizing these edges, while at the same time solving the problem of false responses in smoothly shaded regions with constant gradient of the image brightness. We have shown that a class of nonlinear filters, known as quadratic filters are appropriate for this task, while linear filters are not. In this paper a series of performance criteria are derived for characterizing the SNR, localization, and multiple responses of these quadratic filters in a manner analogous to Canny's criteria for linear filters. Additionally, we show experiments on a series of images varying systematically the parameters of the edge detector.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1117/12.58583DOIArticle
ORCID:
AuthorORCID
Perona, Pietro0000-0002-7583-5809
Additional Information:© 1992 Society of Photo-Optical Instrumentation Engineers (SPIE). This research was partially supported by NSF Presidential Young Investigator Award IRI-8957274 to J.M. and by U.S. Army Research Office grant number DAAL 03-86-K-0171 (P.P.).
Funders:
Funding AgencyGrant Number
NSFIRI-8957274
Army Research Office (ARO)DAAL 03-86-K-0171
Series Name:Proceedings of SPIE
Issue or Number:1708
Record Number:CaltechAUTHORS:20190221-110528503
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190221-110528503
Official Citation:Pietro Perona and Jitendra Malik "Boundary detection using quadratic filters: performance criteria and experimental assessment", Proc. SPIE 1708, Applications of Artificial Intelligence X: Machine Vision and Robotics, (1 March 1992); doi: 10.1117/12.58583; https://doi.org/10.1117/12.58583
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93152
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:22 Feb 2019 18:50
Last Modified:03 Oct 2019 20:51

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