AN ADAPTIVE BACKGROUND UPDATION AND GRADIENT BASED SHADOW REMOVAL METHOD

Moving object segmentation has its own niche as an important topic in computer vision. It has avidly being pursued by researchers. Background subtraction method is generally used for segmenting moving objects. This method may also classify shadows as part of detected moving objects. Therefore, shadow detection and removal is an important step employed after moving object segmentation. However, these methods are adversely affected by changing environmental conditions. They are vulnerable to sudden illumination changes, and shadowing effects. Therefore, in this work we propose a faster, efficient and adaptive background subtraction method, which periodically updates the background frame and gives better results, and a shadow elimination method which removes shadows from the segmented objects with good discriminative power. Keywords- Moving object segmentation

Sub-convexity bound for GL(3)×GL(2)GL(3) \times GL(2) LL-functions: GL(3)GL(3)-spectral aspect

Let $\phi$ be a Hecke-Maass cusp form for $SL(3, \mathbb{Z})$ with Langlands parameters $({\bf t}_{i})_{i=1}^{3}$ satisfying $$|{\bf t}_{3} - {\bf t}_{2}| \leq T^{1-\xi -\epsilon}, \quad \, {\bf t}_{i} \approx T, \quad \, \, i=1,2,3$$ with $1/2 0$. Let $f$ be a holomorphic or Maass Hecke eigenform for $SL(2,\mathbb{Z})$. In this article, we prove a sub-convexity bound $$L(\phi \times f, \frac{1}{2}) \ll \max \{ T^{\frac{3}{2}-\frac{\xi}{4}+\epsilon} , T^{\frac{3}{2}-\frac{1-2 \xi}{4}+\epsilon} \}$$ for the central values $L(\phi \times f, \frac{1}{2})$ of the Rankin-Selberg $L$-function of $\phi$ and $f$, where the implied constants may depend on $f$ and $\epsilon$. Conditionally, we also obtain a subconvexity bound for $L(\phi \times f, \frac{1}{2})$ when the spectral parameters of $\phi$ are in generic position, that is $${\bf t}_{i} - {\bf t}_{j} \approx T, \quad \, \text{for} \, i \neq j, \quad \, {\bf t}_{i} \approx T , \, \, i=1,2,3.$$Comment: First draf

Hybrid subconvexity bound for GL(3)×GL(2)GL(3)\times GL(2) LL-functions: t and level aspect

\begin{abstract} In this article, we will get non-trivial estimates for the central values of degree six Rankin-Selberg $L$-functions $L(1/2+it, \pi \times f)$ associated with a ${GL(3)}$ form $\pi$ and a ${GL(2)}$ form $f$ using the delta symbol approach in the hybrid settings i.e. in the level of ${GL(2)}$ form and $t$-aspect. \end{abstract}Comment: 30 pages, comments are welcom