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Perimeter estimation based on grey level object representation
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- Sladoje, Natasa (author)
- Uppsala universitet,Centrum för bildanalys,Datoriserad bildanalys,Faculty of Engineering, University of Novi Sad, Serbia
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- Lindblad, Joakim (author)
- Uppsala universitet,Centrum för bildanalys,Datoriserad bildanalys
- (creator_code:org_t)
- Uppsala, Sweden : Centre for Image Analysis, 2008
- English 31 s.
- Series: Rapport, 1100-6641 ; 33
- Reports (other academic/artistic)
Abstract
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- We present a novel method that provides an accurate and precise estimate of the length of the boundary (perimeter) of an object, by taking into account gray-levels on the boundary of the digitization of the same object. Assuming a model where pixel intensity is proportional to the coverage of a pixel, we show that the presented method provides error-free measurements of the length of straight boundary segments in the case of non-quantized pixel values. For a more realistic situation, where pixel values are quantized, we derive optimal estimates that minimize the maximal estimation error. We show that the estimate converges toward a correct value as the number of gray-levels tends toward infinity. The method is easy to implement; we provide complete pseudo-code. Since the method utilizes only a small neighborhood, it is very easy to parallelize. We evaluate the estimator on a set of concave and convex shapes with known perimeters, digitized at increasing resolution.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap -- Datorseende och robotik (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences -- Computer Vision and Robotics (hsv//eng)
Keyword
- Image analysis
- Bildanalys
- Computerized Image Analysis
- Datoriserad bildanalys
Publication and Content Type
- vet (subject category)
- rap (subject category)
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