v 1 2 4 A pr 1 99 5 A Link Invariant from Quantum Dilogarithm
The link invariant, arising from the cyclic quantum dilogarithm via the particular R-matrix construction, is proved to coincide with the invariant of triangulated links in S introduced in [14]. The obtained invariant, like Alexander-Conway polynomial, vanishes on disjoint union of links. The R-matrix can be considered as the cyclic analog of the universal R-matrix associated with Uq(sl(2)) algebra.
Remarks on the quantum dilogarithm
A quantum analogue of the dilogarithm function has been introduced by Faddeev and Kashaev (1994) in such a way that a certain identity in the Weyl algebra Wq, plays the role of the five-term dilogarithm identity. We study this identity in the limit when q approaches a root of unity and show that it then reduces to the 'restricted star-triangle relation' which has been used previously by Bazhanov and Baxter (1992) as a local integrability condition of a class of three-dimensional solvable lattice models.
Texture Feature Extraction of RGB, HSV, YIQ and Dithered Images using GLCM, Wavelet Decomposition Techniques
When changing the format of an image from simple RGB to HSV, YIQ and Dithered image, the characteristics of image also change. In this paper, the similar images in the above formats are retrieved using statistical and structural retrieving techniques i.e. GLCM (Gray Level Co-occurrence Matrix) and Wavelet Decomposition techniques. The best results are coming for dithered, HSV images by using GLCM technique for feature extraction and by using Wavelet decomposition; HSV images are giving the best results. While other formats also give the correct retrieval but from the accuracy point of view, HSV images are retrieved with better accuracy using both techniques.