Parts of Visual Form: Computational Aspects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Convexity rule for shape decomposition based on discrete contour evolution
Computer Vision and Image Understanding
Embedding Gestalt Laws in Markov Random Fields
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric partial differential equations and image analysis
Geometric partial differential equations and image analysis
On Voronoi Diagrams and Medial Axes
Journal of Mathematical Imaging and Vision
Representation and Self-Similarity of Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Curvature Scale Space Representation: Theory, Applications, and MPEG-7 Standardization
Curvature Scale Space Representation: Theory, Applications, and MPEG-7 Standardization
Skeleton Pruning by Contour Partitioning with Discrete Curve Evolution
IEEE Transactions on Pattern Analysis and Machine Intelligence
An approach to perceptual shape matching
VISUAL'05 Proceedings of the 8th international conference on Visual Information and Information Systems
Perceptually Motivated Shape Evolution with Shape-Preserving Property
CIARP '08 Proceedings of the 13th Iberoamerican congress on Pattern Recognition: Progress in Pattern Recognition, Image Analysis and Applications
Perceptually motivated shape evolution with shape-preserving property
Pattern Recognition Letters
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In this paper we introduce a novel concept of shape evolution based on a semi-global shape width measure. It is perceptually motivated and helps us distinguish between different shape parts of varying importance. This measure can be integrated into an adaptive s function in a flexible manner and used to achieve a shape evolution which can be controlled by the relative importance of shape parts (without detecting these parts explicitly). For instance, we can start to smooth out fine details while not blurring the large shape parts, or vice versa. This shape-preserving property cannot be achieved by the popular Gaussian smoothing (evolution based on geometric heat flow) and related variants, whose behavior is controlled by the local curvature alone. Experimental results demonstrate the behavior and power of this new shape evolution scheme.