Three-Dimensional Shape Analysis Using Moments and Fourier Descriptors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Mathematical elements for computer graphics (2nd ed.)
Mathematical elements for computer graphics (2nd ed.)
Application of Affine-Invariant Fourier Descriptors to Recognition of 3-D Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computing the Perspective Projection Aspect Graph of Solids of Revolution
IEEE Transactions on Pattern Analysis and Machine Intelligence
The NURBS book
Shape representation and recognition from multiscale curvature
Computer Vision and Image Understanding
Silhouette-based occluded object recognition through curvature scale space
Machine Vision and Applications
Geometric and Illumination Invariants for Object Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Computer Graphics and Applications
Affine-invariant B-spline moments for curve matching
IEEE Transactions on Image Processing
Invariant matching and identification of curves using B-splines curve representation
IEEE Transactions on Image Processing
Description and recognition of object contours using arc length and tangent orientation
Pattern Recognition Letters
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This study proposes a novel method that utilizes the projective invariance of NURBS (nonuniform rational B-splines) and cross-ratios to recognize aircraft in images. An aircraft contour extracted from an image can be fitted by a NURBS curve in approximation, and a skew-symmetry detection method is employed to determine the start point of the contour for the fitting curve. The control points on the fitting curve are then utilized to calculate a set of cross-ratios to represent the aircraft contour, and a small database is established for aircraft recognition. Moreover, all real crossratios are converted to integral cross-ratios to increase the error tolerance and matching facilitation. The experimental results demonstrate that the proposed method is robust and effective in aircraft recognition.