The Deligne–Mumford moduli space is the space M̄g,n of isomorphism classes of stable nodal Riemann surfaces of arithmetic genus g with n marked points. A marked nodal Riemann surface is stable if and only if its isomorphism group is finite. We introduce the notion of a universal unfolding of a marked nodal Riemann surface and show that it exists if and only if the surface is stable. A natural co...

A new variational region based model for a simultaneous image segmentation and a rigid registration is proposed. The purpose of the model is to segment and register novel images simultaneously using a modified piecewise constant Mumford-Shah functional and region intensity values. The segmentation is obtained by minimizing a modified piecewise constant Mumford-Shah functional. A registration is...

A climate dependent model is proposed to simulate the population of Aedes aegypti mosquito. In developing the model, average temperature of Shah Alam, Malaysia was used to determine the development rate of each stage of the life cycle of mosquito. Rainfall dependent function was proposed to simulate the hatching rate of the eggs under several assumptions. The proposed transition matrix was obta...

Chair: Meeta Co-Chairs: Leela Digumarti, Neelam Agarwal, Nirmala Vaze, Rashmi Shah, Sonia Malik. Advisory Board: Asha Kapadia, Atul Munshi, Duru Shah, Rama Vaidya, Saroj Srivastava, Sonia Malik, Sunila Khandelwal, Urvashi Prasad Jha. External Review Board: Anita Gadgil, Dayasagar, G R Sridhar, Hema Divakar, P K Shah, Rakesh Sahay, Sanjay Kalra. Resource Faculty: Alka Kumar, Anil Mahajan, Ani...

A new approximation of the Mumford-Shah model is proposed for edge detection, which could handle open-ended curves and closed curves as well. The essential idea is to treat the curves by narrow regions, and use a sharp interface technique to solve the approximate Mumford-Shah model. A fast algorithm based on the augmented Lagrangian method is developed. Numerical results show that the proposed ...

Brain MR image segmentation is an important research topic in medical image analysis area. In this paper, we propose an active contour model for brain MR image segmentation, based on a generalized level set formulation of the Mumford-Shah functional. The model embeds explicitly gradient information into the Mumford-Shah functional, and incorporates in a generic framework both regional and gradi...