My research philosophy is “Calculations for Social Welfare.” I have solved watermarking and pattern recognition related problems using the techniques and principles of image processing, machine learning (ML), mathematical analysis, probability, statistics, and computer programming.

We (Himanshu and my co-workers—Prof. Bala: IIT Roorkee, Prof. Pradeep: University at Albany USA, Prof. Mohan: NUS Singapore, and Prof. Debasis Sen: IIT Kharagpur) have developed more than ten digital image watermarking schemes (DIWS), out of which six are in the wavelet domain—an important transform in image processing. Among these, the most remarkable scheme is an invisible blind watermarking scheme in the Real-Oriented Wavelet Transform domain.

I supervised Dr. Deval Verma (Ph.D. Award: August 2021) for her thesis entitled “Recognition of 2D/3D Characters and 3D Words Using Supervised Machine Learning Classifiers.” In this work, geometrical and statistical features of words written in air using a Leap Motion controller, images of characters, and characters written using a pen tablet were used with various ML classifiers.

Mr. Vikas Kumar Pandey has submitted his Ph.D. thesis (Ph.D. Defense: July 2025) entitled “Data Visualization and Learning Techniques to Represent the Solutions of Differential Equations” under my supervision. We have developed artificial neural networks (ANNs) for representing the solutions of a rectangular vibrating membrane and the stochastic Burgers’ equation (SBE). Our analysis shows that ANN techniques provide fast and compressed solutions.