Computer-Aided Design
Detection of generalized principal axes is rotationally symmetric shapes
Pattern Recognition
Machine vision
Generalized Affine Invariant Image Normalization
IEEE Transactions on Pattern Analysis and Machine Intelligence
Techniques for Assessing Polygonal Approximations of Curves
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
Determining the minimum-area encasing rectangle for an arbitrary closed curve
Communications of the ACM
Robot Vision
Robust normalization of silhouettes for recognition applications
Pattern Recognition Letters - Special issue: Discrete geometry for computer imagery (DGCI'2002)
Notes on shape orientation where the standard method does not work
Pattern Recognition
Finding axes of symmetry from potential fields
IEEE Transactions on Image Processing
Affine-permutation invariance of 2-D shapes
IEEE Transactions on Image Processing
On the Orientability of Shapes
IEEE Transactions on Image Processing
Measuring Elongation from Shape Boundary
Journal of Mathematical Imaging and Vision
New Measure for Shape Elongation
IbPRIA '07 Proceedings of the 3rd Iberian conference on Pattern Recognition and Image Analysis, Part II
Measuring the orientability of shapes
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
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The computation of a shape's orientation is a common task in many areas of computer vision and image processing applications. It is usually an initial step or a part of data preprocessing. There are several approaches to the problem – most of them could be understood as the ‘area based' ones. In spite of many unavoidable problems where working with shape boundaries in discrete space, the demand for a pure ‘boundary based' method, seems to be very reasonable. Such a method for shapes having polygonal boundaries is presented in this paper. We define the shape orientation by the line that maximises the total sum of squared lengths of projections of all the shape boundary edges onto this line. Advantages and disadvantages of the method are discussed.