Signal modeling for two-dimensional image structures

Signal modeling for two-dimensional image structures

This paper presents a novel approach towards two-dimensional (2D) image structures modeling. To obtain more degrees of freedom, a 2D image signal is embedded into a certain geometric algebra. Coupling methods of differential geometry, tensor algebra, monogenic signal and quadrature filter, a general model for 2D image structures can be obtained as the monogenic extension of a curvature tensor. ...

Markov modeling for Bayesian restoration of two-dimensional layered structures

Image Restoration with Two-Dimensional Adaptive Filter Algorithms

Two-dimensional (TD) adaptive filtering is a technique that can be applied to many image, and signal processing applications. This paper extends the one-dimensional adaptive filter algorithms to TD structures and the novel TD adaptive filters are established. Based on this extension, the TD variable step-size normalized least mean squares (TD-VSS-NLMS), the TD-VSS affine projection algorithms (...

Detecting Intrinsically Two-Dimensional Image Structures Using Local Phase

This paper presents a novel approach towards detecting intrinsically two-dimensional (i2D) image structures using local phase information. The local phase of the i2D structure can be derived from a curvature tensor and its conjugate part in a rotation-invariant manner. By employing damped 2D spherical harmonics as basis functions, the local phase is unified with a scale concept. The i2D structu...

Index Structures for High-Dimensional Image Features

Most image or video search engines operate by extracting and storing feature vectors from the multimedia objects. These feature vectors may, for example, consist of colour or texture histograms and can vary considerably in size, say from a few ten numbers to 50,000 numbers. When an image database is queried with a particular example image ("show me similar images"), the corresponding feature ve...