We introduce an approach based on moving frames for polygon recognition and symmetry detection. We present detailed algorithms for recognition of polygons modulo the special Euclidean, Euclidean, equi-affine, skewedaffine and similarity Lie groups, and explain the procedure for a generic Lie group. The time complexity of our algorithms is linear in the number of vertices and they are noise resi...

In this paper, we proposed a novel efficient barbell trajectory extraction algorithm and further implemented a computer aided weightlifting training system with our proposed algorithm. The proposed method extracts the barbell trajectory from the video sequence both considering spatial and temporal information which are the barbell color and motion information between each frame. The experimenta...

Nebulizer is one of the electro medic devices that serve to provide therapy for patients who experience abnormalities or disorders respiratory tract. system works using piezo electronic device produces high frequency vibration. With this vibration drug liquid molecules breaks down become fumes, thus it can easily inhale patient even children. Unfortunately like other aerosol delivery system, op...

S. Chowla conjectured that every prime p has the property that there are infinitely many imaginary quadratic fields whose class number is not a multiple of p. Gauss’ genus theory guarantees the existence of infinitely many such fields when p = 2, and the work of Davenport and Heilbronn [D-H] suffices for the prime p = 3. In addition, the DavenportHeilbronn result demonstrates that a positive pr...

The problem of Sorting by Prefix Transpositions asks for the minimum number of prefix transpositions required to sort the elements of a given permutation. In this paper, we study a variant of this problem where the prefix transpositions act not on permutations but on strings over an alphabet of fixed size. Here, we determine the minimum number of prefix transpositions required to sort the binar...