A new characterization of digital lines by least square fits
Pattern Recognition Letters
Optimum polygonal approximation of digitized curves
Pattern Recognition Letters
Techniques for Assessing Polygonal Approximations of Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Digital approximation of moments of convex regions
Graphical Models and Image Processing
Nonparametric Segmentation of Curves into Various Representations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Visual Identification by Signature Tracking
IEEE Transactions on Pattern Analysis and Machine Intelligence
Rectilinearity Measurements for Polygons
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Comparative Evaluation of Length Estimators of Digital Curves
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
Integral Invariants for Shape Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Processing, Analysis, and Machine Vision
Image Processing, Analysis, and Machine Vision
On Shape of Plane Elastic Curves
International Journal of Computer Vision
Measuring Elongation from Shape Boundary
Journal of Mathematical Imaging and Vision
Measuring linearity of planar point sets
Pattern Recognition
High-Precision Boundary Length Estimation by Utilizing Gray-Level Information
IEEE Transactions on Pattern Analysis and Machine Intelligence
Farthest point distance: A new shape signature for Fourier descriptors
Image Communication
A Hu moment invariant as a shape circularity measure
Pattern Recognition
Measuring linearity of ordered point sets
PSIVT'07 Proceedings of the 2nd Pacific Rim conference on Advances in image and video technology
Automatic face segmentation and facial landmark detection in range images
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A novel contour descriptor for 2D shape matching and its application to image retrieval
Image and Vision Computing
Circular Blurred Shape Model for Multiclass Symbol Recognition
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
On the Orientability of Shapes
IEEE Transactions on Image Processing
Measuring linearity of closed curves and connected compound curves
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part III
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In this paper we define a new linearity measure for open planar curve segments. We start with the integral of the squared distances between all the pairs of points belonging to the measured curve segment, and show that, for curves of a fixed length, such an integral reaches its maximum for straight line segments. We exploit this nice property to define a new linearity measure for open curve segments. The new measure ranges over the interval (0,1], and produces the value 1 if and only if the measured open line is a straight line segment. The new linearity measure is invariant with respect to translations, rotations and scaling transformations. Furthermore, it can be efficiently and simply computed using line moments. Several experimental results are provided in order to illustrate the behaviour of the new measure.