An optimal algorithm for finding minimal enclosing triangles
Journal of Algorithms
Review of shape coding techniques
Image and Vision Computing
On the distribution of a deforming triangle
Pattern Recognition
A generic solution to polygon clipping
Communications of the ACM
Extracting geometric primitives
CVGIP: Image Understanding
On a geometry of the flat violin boundary
Applied Mathematics and Computation
Analysing error of fit functions for ellipses
Pattern Recognition Letters
Techniques for Assessing Polygonal Approximations of Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Ellipse fitting using orthogonal hyperbolae and Stirling's oval
Graphical Models and Image Processing
Direct Least Square Fitting of Ellipses
IEEE Transactions on Pattern Analysis and Machine Intelligence
Machine Vision and Applications
Further five-point fit ellipse fitting
Graphical Models and Image Processing
Computer Vision
Invariant Fitting of Planar Objects by Primitives
IEEE Transactions on Pattern Analysis and Machine Intelligence
A New Convexity Measure for Polygons
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computer Vision and Image Understanding
Evaluating Harker and O'Leary's distance approximation for ellipse fitting
Pattern Recognition Letters
A two-component rectilinearity measure
Computer Vision and Image Understanding
Measuring Elongation from Shape Boundary
Journal of Mathematical Imaging and Vision
Measuring linearity of planar point sets
Pattern Recognition
CIARP '08 Proceedings of the 13th Iberoamerican congress on Pattern Recognition: Progress in Pattern Recognition, Image Analysis and Applications
Measuring the Related Properties of Linearity and Elongation of Point Sets
CIARP '08 Proceedings of the 13th Iberoamerican congress on Pattern Recognition: Progress in Pattern Recognition, Image Analysis and Applications
A rectilinearity measurement for 3d meshes
MIR '08 Proceedings of the 1st ACM international conference on Multimedia information retrieval
Classification of pathological shapes using convexity measures
Pattern Recognition Letters
A Hu moment invariant as a shape circularity measure
Pattern Recognition
Measuring Cubeness of 3D Shapes
CIARP '09 Proceedings of the 14th Iberoamerican Conference on Pattern Recognition: Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
Direct ellipse fitting and measuring based on shape boundaries
PSIVT'07 Proceedings of the 2nd Pacific Rim conference on Advances in image and video technology
Measuring linearity of ordered point sets
PSIVT'07 Proceedings of the 2nd Pacific Rim conference on Advances in image and video technology
International Journal of Computer Vision
Shape elongation from optimal encasing rectangles
Computers & Mathematics with Applications
Subjective measurement of cosmetic defects using a Computational Intelligence approach
Engineering Applications of Artificial Intelligence
Measuring Squareness and Orientation of Shapes
Journal of Mathematical Imaging and Vision
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
Ellipse detection through decomposition of circular arcs and line segments
ICIAP'11 Proceedings of the 16th international conference on Image analysis and processing: Part I
ADR shape descriptor - Distance between shape centroids versus shape diameter
Computer Vision and Image Understanding
Application of 2D fourier descriptors and similarity measures to the general shape analysis problem
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
Shape ellipticity based on the first Hu moment invariant
Information Processing Letters
Computers and Electronics in Agriculture
Shape classification by manifold learning in multiple observation spaces
Information Sciences: an International Journal
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Object classification often operates by making decisions based on the values of several shape properties measured from an image of the object. This paper describes several algorithms (both old and new) for calculating ellipticity, rectangularity, and triangularity shape descriptors. The methods are evaluated by testing on both synthetic and real data.