A Locally Adapting Technique for Edge Detection using Image Segmentation

• Published in: SIAM journal on scientific computing 2018-01, Vol.40 (4), p.B1161-B1179
• Main Authors: Howard, Marylesa, Hock, Margaret C., Meehan, B. T., Dresselhaus-Cooper, Leora E.
• Format: Article
• Language: English
• Subjects: discriminant analysis; edge detection; image processing; MATHEMATICS AND COMPUTING; maximum likelihood estimation; statistical segmentation
• ISSN: 1064-8275; 1095-7197
• DOI: 10.1137/17M1155363

Rapid growth in the field of quantitative digital image analysis is paving the way for scientific researchers to make precise measurements about objects in an image. To compute quantities from an image such as the density of compressed materials or the velocity of a shockwave, object boundaries must first be determined. Images containing regions that each have a spatial trend in intensity are of particular interest here. For edge detection, we present a supervised, statistical image segmentation method that incorporates spatial information to locate boundaries between regions with overlapping intensity histograms, specifically for images where the regions are known but precise boundary locations are unknown. The segmentation of a pixel is determined by comparing its intensity to distributions from nearby pixel intensities, and a gradient of the segmented image indicates edge locations. Because of the statistical nature of the algorithm, we use maximum likelihood estimation to quantify uncertainty about each boundary. We demonstrate the success of this algorithm at locating boundaries and providing uncertainty bands on a radiograph of a multicomponent cylinder and on an optical image of a laser-induced shockwave.