The ultimate microscope, directed at a cell, would reveal the dynamics of all the cell's
components with atomic resolution. In contrast to their real-world counterparts …

Skinning of skeletally deformable models is extensively used for real-time animation of
characters, creatures and similar objects. The standard solution, linear blend skinning, has …

The study of plant development requires increasingly powerful modeling tools to help
understand and simulate the growth and functioning of plants. In the last decade, the …

In this paper, we give the parametric equation of the Bishop frame for a timelike swee**
surface with a unit speed timelike curve in Minkowski 3-space. We introduce a new …

Isogeometric Analysis uses NURBS representations of the domain for performing numerical
simulations. The first part of this paper presents a variational framework for generating …

In this article, we investigate geometric properties and modeling capabilities of quad meshes
with planar faces whose mesh polylines enjoy the additional property of being contained in …

Magnet-tipped, elastic rods can be steered by an external magnetic field to perform surgical
tasks. Such rods could be useful for a range of new medical applications because they do …

Developable surface and line of curvature play an important role in geometric design and
surface analysis. This paper proposes a new method to construct a developable surface …

Recent developments in the basic theory, algorithms, and applications for curves with
rational rotation-minimizing frames (RRMF curves) are reviewed, and placed in the context …

In this paper, we introduce a new version of tubular surfaces. We first define a new adapted
frame along a space curve, and denote this the q-frame. We then reveal the relationship …