Title
Shape matching by part alignment using extended chordal axis transform.
Abstract
One of the main challenges in shape matching is overcoming intra-class variation where objects that are conceptually similar have significant geometric dissimilarity. The key to a solution around this problem is incorporating the structure of the object in the shape descriptor which can be described by a connectivity graph customarily extracted from its skeleton. In a slightly different perspective, the structure may also be viewed as the arrangement of protruding parts along its boundary. This arrangement does not only convey the protruding part's ordering along the anti clockwise direction, but also these parts on different levels of detail. In this paper, we propose a shape matching method that estimates the distance between two objects by conducting a part-to-part matching analysis between their visual protruding parts. We start by a skeleton-based segmentation of the shape inspired by the Chordal Axis Transform. Then, we extract the segments that represent the protruding parts in its silhouette on varied levels of detail. Each one of these parts is described by a feature vector. A shape is thus described by the feature vectors of its parts in addition to their angular and linear proximities to each other. Using dynamic programming, our algorithm finds a minimal cost correspondence between parts. Our experimental evaluations validate the proposition that part correspondence allows conceptual matching of precisely dissimilar shapes. HighlightsNew concepts employed in skeletonization and segmentation of 2D shapes.Experimentally weighing geometric properties in visual part salience measure.Shape retrieval visual parts distance measures rather than boundary points.A new approach to 2D shape alignment based on part correspondence.
Year
DOI
Venue
2016
10.1016/j.patcog.2016.03.022
Pattern Recognition
Keywords
Field
DocType
Shape descriptors,Shape matching,Salient features,Ordered part correspondence,Chordal axis transform,Dynamic 2D shape segmentation,Dynamic programming
Computer vision,Feature vector,Pattern recognition,Segmentation,Silhouette,Chordal graph,Topological skeleton,Skeletonization,Artificial intelligence,Mathematics,Distance measures,Shape analysis (digital geometry)
Journal
Volume
Issue
ISSN
57
C
0031-3203
Citations 
PageRank 
References 
4
0.39
22
Authors
3
Name
Order
Citations
PageRank
Zahraa Yasseen140.39
Anne Verroust-blondet218013.03
Ahmad H. Nasri3430121.97