Computational geometry: an introduction
Computational geometry: an introduction
On the Detection of Dominant Points on Digital Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Parts of Visual Form: Computational Aspects
IEEE Transactions on Pattern Analysis and Machine Intelligence
A new split-and-merge technique for polygonal approximation of chain coded curves
Pattern Recognition Letters
Convexity rule for shape decomposition based on discrete contour evolution
Computer Vision and Image Understanding
Shape Similarity Measure Based on Correspondence of Visual Parts
IEEE Transactions on Pattern Analysis and Machine Intelligence
State of the art in shape matching
Principles of visual information retrieval
An adaptive split-and-merge method for binary image contour data compression
Pattern Recognition Letters
Feature-based similarity search in 3D object databases
ACM Computing Surveys (CSUR)
Content-based retrieval of 3D models
ACM Transactions on Multimedia Computing, Communications, and Applications (TOMCCAP)
Integral Invariants for Shape Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence
Optimized polygonal approximation by dominant point deletion
Pattern Recognition
IEEE Transactions on Computers
A survey of content based 3D shape retrieval methods
Multimedia Tools and Applications
Numerical Geometry of Non-Rigid Shapes
Numerical Geometry of Non-Rigid Shapes
International Journal of Computer Vision
Polygonal approximation of digital planar curves through break point suppression
Pattern Recognition
Unified video annotation via multigraph learning
IEEE Transactions on Circuits and Systems for Video Technology
Approximate convex decomposition of polygons
Computational Geometry: Theory and Applications
Beyond distance measurement: constructing neighborhood similarity for video annotation
IEEE Transactions on Multimedia - Special section on communities and media computing
Dominant point detection: A new proposal
Image and Vision Computing
Shape modeling via local curvature scale
Pattern Recognition Letters
Piecewise approximation of contours through scale-space selection of dominant points
IEEE Transactions on Image Processing
Polygonal approximation of digital planar curves through adaptive optimizations
Pattern Recognition Letters
A discrete geometry approach for dominant point detection
Pattern Recognition
Shape google: Geometric words and expressions for invariant shape retrieval
ACM Transactions on Graphics (TOG)
Towards a Relevant and Diverse Search of Social Images
IEEE Transactions on Multimedia
Less is More: Efficient 3-D Object Retrieval With Query View Selection
IEEE Transactions on Multimedia
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Shape approximation is usually a prerequisite step to image content analysis and understanding and has been well studied in the passed decades. However, those approaches show their deficiencies while facing the factors such as the representation efficiency, the variation of image scale and the initial estimation. To alleviate these issues, we propose a novel method for @e-isometry based shape approximation. We first analyze the descending property on approximating error and its relation with salient geometric features. After that, we approximate the polygonal shape and detect the feature point based on the @e-isometric construction. In the experiments, we employ traditional shape benchmarks, MPEG7 shape dataset, SQUID dataset and other real contours to evaluate the visual effects and quantitative performances of the proposed method. Experimental results demonstrate that our method is not only robust to the initial estimation, but also outperforms the state-of-the-art methods with respect to the compactness and scale variability.