5 papers
Comparative Analysis of Compliance-Matrix Induced Norms in Structural Topology Optimization
Jyotiranjan Nayak, Shafeequdheen P, Vijayakrishna Rowthu
Compliance minimization is a central objective in structural topology optimization, commonly interpreted as the total strain energy of a system. In this work, we examine the influe…
Assessing Finite Element Choice in Structural Topology Optimization and A Posteriori Error Estimation
Jyotiranjan nayak, Shafeequdheen P, Vijayakrishna Rowthu
This study investigates the impact of finite element selection on structural topology optimization using the SIMP (Solid Isotropic Material with Penalization) method. Specifically,…
A Topology fixated Shape Gradient Framework for Non Simple Boundary Extraction for CIE Lab color images with Repulsive Energy
Shafeequdheen Palengara, Jyotiranjan Nayak, Vijayakrishna Rowthu
A levelset free but a hybrid image segmentation approach based on a modified version of the piece wise constant shape gradient of an Mumford Shah shape functional and a repulsive f…
Diffeomorphic Reconstruction Of A 2D Simple Non Parametric Manifold From Level Set Data Via Shape Gradients
Shafeequdheen P, Jyotiranjan Nayak, Vijayakrishna Rowthu
A variational approach to the reconstruction of a shape (2D simple manifolds) as triangulated surface from given level set using shape gradients is presented. It involves an energy…
Shape Gradient Based Non-Parametric Mumford-Shah Segmentation Without Level Sets
Shafeequdheen P, Jyotiranjan Nayak, Vijayakrishna Rowthu
A non parametric, level set free method is proposed for detecting image boundaries using the shape gradient of the Mumford Shah energy for segmentation. Minimizing the variance in…