Robust rotation invariance has been a matter of great interest in many applications which use low-level features such as textures. In this paper, we propose a method to analyze and capture visual patterns from textures regardless their orientation. In order to achieve rotation invariance, visual texture patterns are locally described as one-dimensional patterns by appropriately steering the Car...

A new optical transformation that combines geometrical coordinate transformations with the conventional optical Fourier transform is described. The resultant transformations are invariant to both scale and rotational changes in the input object or function. Extensions of these operations to optical pattern recognition and initial experimental demonstrations are also presented.

We consider shift-invariant multiresolution spaces generated by rotation-covariant functions ρ in R2. To construct corresponding scaling and wavelet functions, ρ has to be localized with an appropriate multiplier, such that the localized version is an element of L2(R2). We consider several classes of multipliers and show a new method to improve regularity and decay properties of the correspondi...

A successful class of texture analysis methods is based on multiresolution decompositions. Especially Gabor lters have extensively been used [1] [2] [3] [4] [5] [6]. More recently, decompositions with pyramidal and tree structured wavelet transforms have been proposed [7] [8] [9] [10]. An important aspect is the rotation invariance of the features. A discrete wavelet transform does not provide ...

The major challenge of face detection techniques lies in handling varying poses, i. e. , detection of faces in arbitrary in-depth rotations. The face image differences caused by rotations are often larger than the inter-person differences used in Rotation the research toward pose-invariant face recognition in recent years and many prominent approaches have been proposed. However, several issues...

The pixel-based shape representation has been sensitive to rotation. In this paper, we propose a pixel-based descriptor that is invariant with rotation and scale for the hand shape recognition in Taiwanese Sign Language (TSL). Based on the property that a hand shape is characteristic of a unique pointing direction, angle normalization is used to meet the rotation-invariant requirement. With ang...

In this paper, we discuss rotation number on the invariant curve of a one parameter family of outer billiard tables. Given a convex polygon η, we can construct an outer billiard table T by cutting out a fixed area A from the interior of η. T is piece-wise hyperbolic and the polygon η is an invariant curve of T under the billiard map φ. We will show that, if β ∈ η is a periodic point under φ wit...

The success of convolutional networks in learning problems involving planar signals such as images is due to their ability to exploit the translation symmetry of the data distribution through weight sharing. Many areas of science and egineering deal with signals with other symmetries, such as rotation invariant data on the sphere. Examples include climate and weather science, astrophysics, and ...

In this paper, an attempt is made to develop an algorithm for recognition of machine printed isolated Kannada vowels and numerals of different font size and style using modified invariant moments and that are invariant with respect to rotation, scale and translation. A minimum distance nearest neighbor classifier is adopted for classification. The proposed algorithm is experimented on 1800 imag...