A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Handbook of discrete and computational geometry
Handbook of discrete and computational geometry
Normalized Cuts and Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator
FCRC '96/WACG '96 Selected papers from the Workshop on Applied Computational Geormetry, Towards Geometric Engineering
Recognizing Objects Using Color-Annotated Adjacency Graphs
Shape, Contour and Grouping in Computer Vision
Segmentation of Multiple Salient Closed Contours from Real Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Vectorized image segmentation via trixel agglomeration
Pattern Recognition
Image segmentation using topological persistence
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
Construction of seafloor thematic maps from multibeam acoustic backscatter angular response data
Computers & Geosciences
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We present a broad algorithmic framework for transforming an image comprised of pixels into a vectorized image segmented into polygons that can be subsequently used in image processing and understanding. A digital image is processed to extract edge pixel chains and a constrained Delaunay triangulation of the edge contour set is performed to yield triangles that cover the pixelated image without crossing edge contours. Each triangle is attributed a color by a Monte Carlo sampling of pixels within it. A combination of rules, each of which models an elementary perceptual grouping criterion, determines which adjacent triangles should be merged. A grouping graph is formed with vertices representing triangles and edges between vertices that correspond to adjacent triangles to be merged according to the combination of grouping rules. A connected component analysis on the grouping graph then yields collections of triangles that form polygons segmenting and vectorizing the image.