Computer Aided Geometric Design

• Approximate reconstruction of inexact symmetric curves is thoroughly studied.
• A ...

In this paper, we formulate a simple algorithm for an approximate reconstruction of an inexact planar curve which is assumed to be a perturbation of some unknown planar curve with symmetry. The input curve is given by a perturbed ...

• We consider spaces of univariate multi-degree polynomial splines.
• We derive new ...

This paper addresses theoretical considerations behind the algorithmic computation of polynomial multi-degree spline basis functions as presented in Toshniwal et al. (2017). The approach in Toshniwal et al. (2017) breaks from the ...

• Closed spatial loops are constructed using quintic Pythagorean hodograph curves.

The construction of continuous adapted orthonormal frames along C 1 closed–loop spatial curves is addressed. Such frames are important in the design of periodic spatial rigid–body motions along smooth closed paths. The construction is ...

• Explanation for exceptional drop of generic trajectory degree in rational motions.

The trajectories of a rational motion given by a polynomial of degree n in the dual quaternion model of rigid body displacements are generically of degree 2n. In this article we study those exceptional motions whose trajectory degree ...

A new numerical approach for modeling the three-dimensional ductile crack propagation problem is presented. The approach is obtained by the introduction of an h-adaptive finite element refinement scheme using the element-wise meshfree ...

• An interactive meshfree-enriched finite element formulation is introduced for ductile crack propagation.