This paper presents an effective texture descriptor invariant to translation, scaling, and rotation for texture-based image retrieval applications. In order to find the minimal matching distance between two descriptors, existing frequency-layout descriptors require a lot of distance calculations with every possible combination of scaling and rotation values because they are not invariant to geo...

Based on the feature matching theory about SIFT (Scale-Invariant Feature Transform) keypoints, the concentric circle structure and the color feature vector of scale-invariant descriptor are proposed in this paper. In the concentric circle structure, the radiuses of the concentric circles are proportional to the scale factor, which can achieve the scale invariance. To achieve the rotation invari...

5 Spherical Harmonics 7 5.1 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 5.2 Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.1 Harmonic expansion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.2 Convolution . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

Aggregation of local features is a well-studied approach for image as well as 3D model retrieval (3DMR). A carefully designed local 3D geometric feature is able to describe detailed local geometry of 3D model, often with invariance to geometric transformations that include 3D rotation of local 3D regions. For efficient 3DMR, these local features are aggregated into a feature per 3D model. A rec...

Human object recognition is generally considered to tolerate changes of the stimulus position in the visual eld. A number of recent studies, however, have cast doubt on the completeness of translation invariance. In a new series of experiments we tried to investigate whether positional speciicity of short-term memory is a general property of visual perception. We tested same-diierent discrimina...

We show that electromagnetic gauge invariance requires a “spin rotation” of the quarks in the usual twist–2 contribution to the amplitude for Deeply Virtual Compton Scattering. This rotation is equivalent to the inclusion of certain kinematical twist–3 (“Wandzura–Wilczek type”) terms, which have been derived previously using other methods. The new representation of the twist–3 terms is very com...

Local descriptor methods are widely used in computer vision to compare local regions of images. These descriptors are often extracted relative to an estimated scale and rotation to provide invariance up to similarity transformations. We call this extract-time covariance (ETC) following the language of [1]. ETC is an imperfect process, however, and can produce errors downstream. Figure 1 illustr...

Image copy detection is an important technology of copyright protection. This paper proposes efficient hashing method for image using 2D-2D (two-directional two-dimensional) PCA (Principal Component Analysis). The key the discovery translation invariance PCA. With property invariance, a novel model extracting rotation-invariant low-dimensional features designed by combining PCT (Polar Coordinat...

The Angular Radial Edge Histogram (AREH) extends prior work on a compact image representation based on geometric distributions of edge pixels. Histograms of edge pixels are computed along the dimensions of angle and radius. Fourier transform is applied to accommodate rotation invariance. It achieves invariance for scale variation, in-plane rotation, and translation. By using a grid-based approa...

This paper presents a fusion of the active appearance model (AAM) and the Riemannian elasticity framework which yields a non-linear shape model and a linear texture model – the active elastic appearance model (EAM). The non-linear elasticity shape model is more flexible than the usual linear subspace model, and it is therefore able to capture more complex shape variations. Local rotation and tr...