We propose a novel technique, termed compact shape trees, for computing correspondences of single-boundary 2-D shapes in O(n) time. Together with zero or more features defined at each of n sample points on the shape’s boundary, the compact shape tree of a shape comprises the O(n) collection of vectors emanating from any of the sample points on the shape’s boundary to the rest of the sample poin...

In this paper we present a simple but effective method for matching two uncalibrated images. Feature points are firstly extracted in each image using a fast multiscale corner detector. Each feature point is assigned with one dominant orientation. The correspondence of feature points is then established by utilizing a multilevel matching strategy. We employ the normalized cross-correlation defin...

Based on the combined shape feature and texture feature, a fast object detection method with rotation invariant features is proposed in this paper. A quick template matching scheme based online learning designed for online applications is also introduced in this paper. The experimental results have shown that the proposed approach has the features of lower computation complexity and higher dete...

In this paper, we propose a method for detecting patterns of interest in vector fields. Our method detects patterns in a scaleand rotation-invariant manner. It works by approximating the vector-field data locally using a Laurent polynomial weighted by radial basis functions. The proposed representation is able to model both analytic and non-analytic flow fields. Invariance to scale and rotation...

Invariant feature representations for 3D objects are one of the basic needs in 3D object retrieval and classification. One tool to obtain rotation invariance are Spherical Harmonics, which are an orthogonal basis for the functions defined on the 2-sphere. We show that the irreducible representations of the 3D rotation group, which acts on the Spherical Harmonic representation, can give more inf...

This paper through Comparative analysis of This Discrete Polar Complex Exponential Transform approach is improved from traditional Polar Complex Exponential Transform (PCET) and this transform also encompasses the features of orthogonality and rotation invariance. We introduce a new 9×9 circle instead of a unit circle in DPCET to calculate features of image more precision. And various experimen...

The generalization of Lorentz invariance to solvable two-dimensional lattice fermion models has been formulated in terms of Baxter’s corner transfer matrix. In these models, the lattice Hamiltonian and boost operator are given by fermionized nearest-neighbor Heisenberg spin chain operators. The transformation properties of the local lattice fermion operators under a boost provide a natural and ...

In this paper a unique map or signature of three dimensional objects is defined. The map is obtained locally, for every possible rotation of the object, by the Fourier transform of the phase-encoded range-image at each specific rotation. From these local maps, a global map of orientations is built that contains the information about the surface normals of the object. The map is defined on a uni...

A semi-fragile watermarking algorithm for authenticating 2D engineering graphics based on log-polar coordinates mapping is proposed. Firstly, the coordinates of vertices of entities are mapped to the log-polar coordinate system to obtain the invariance of translation, scaling and rotation. Then the watermark is embedded in the mantissa of the real-valued log-polar coordinates via bit substituti...

In this paper, a novel template matching algorithm named radial ring code histograms(RRCH) for multi-objects positioning is proposed. It is invariant to translation, rotation and illumination changes. To improve the identification ability of multi objects with different rotation angles, radial gradient codes using relative angle between gradient direction and position vector is proposed. Adjust...