Length estimators for digitized contours
Computer Vision, Graphics, and Image Processing
Detection of generalized principal axes is rotationally symmetric shapes
Pattern Recognition
Computing a shape's moments from its boundary
Pattern Recognition
Computing deviations from convexity in polygons
Pattern Recognition Letters
Generalized Affine Invariant Image Normalization
IEEE Transactions on Pattern Analysis and Machine Intelligence
Symmetry Detection by Generalized Complex (GC) Moments: A Close-Form Solution
IEEE Transactions on Pattern Analysis and Machine Intelligence
Graphical Models and Image Processing
Robust Rotation Angle Estimator
IEEE Transactions on Pattern Analysis and Machine Intelligence
Digital approximation of moments of convex regions
Graphical Models and Image Processing
Digital disks and a digital compactness measure
STOC '84 Proceedings of the sixteenth annual ACM symposium on Theory of computing
Rectilinearity Measurements for Polygons
IEEE Transactions on Pattern Analysis and Machine Intelligence
Measuring shape: ellipticity, rectangularity, and triangularity
Machine Vision and Applications
A New Convexity Measure for Polygons
IEEE Transactions on Pattern Analysis and Machine Intelligence
A New Convexity Measure Based on a Probabilistic Interpretation of Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computer Vision and Image Understanding
Image Processing, Analysis, and Machine Vision
Image Processing, Analysis, and Machine Vision
Pattern Recognition
An easy measure of compactness for 2D and 3D shapes
Pattern Recognition
Measuring Elongation from Shape Boundary
Journal of Mathematical Imaging and Vision
Measuring linearity of planar point sets
Pattern Recognition
Visual print quality evaluation using computational features
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part I
Affine-permutation invariance of 2-D shapes
IEEE Transactions on Image Processing
On the Orientability of Shapes
IEEE Transactions on Image Processing
Orthogonal Rotation-Invariant Moments for Digital Image Processing
IEEE Transactions on Image Processing
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
Tunable cubeness measures for 3D shapes
Pattern Recognition Letters
Measuring linearity of open planar curve segments
Image and Vision Computing
ADR shape descriptor - Distance between shape centroids versus shape diameter
Computer Vision and Image Understanding
Shape ellipticity based on the first Hu moment invariant
Information Processing Letters
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In this paper we propose a new circularity measure which defines the degree to which a shape differs from a perfect circle. The new measure is easy to compute and, being area based, is robust-e.g., with respect to noise or narrow intrusions. Also, it satisfies the following desirable properties:*it ranges over (0,1] and gives the measured circularity equal to 1 if and only if the measured shape is a circle; *it is invariant with respect to translations, rotations and scaling. Compared with the most standard circularity measure, which considers the relation between the shape area and the shape perimeter, the new measure performs better in the case of shapes with boundary defects (which lead to a large increase in perimeter) and in the case of compound shapes. In contrast to the standard circularity measure, the new measure depends on the mutual position of the components inside a compound shape. Also, the new measure performs consistently in the case of shapes with very small (i.e., close to zero) measured circularity. It turns out that such a property enables the new measure to measure the linearity of shapes. In addition, we propose a generalisation of the new measure so that shape circularity can be computed while controlling the impact of the relative position of points inside the shape. An additional advantage of the generalised measure is that it can be used for detecting small irregularities in nearly circular shapes damaged by noise or during an extraction process in a particular image processing task.