#### Filter Results:

- Full text PDF available (44)

#### Publication Year

1995

2016

- This year (0)
- Last 5 years (11)
- Last 10 years (32)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Anil N. Hirani
- 2003

The language of modern mechanics is calculus on manifolds, and exterior calculus is an important part of that. It consists of objects like differential forms, general tensors and vector fields on manifolds, and operators that act on these. While the smooth exterior calculus has a long history going back to Cartan, Lie, Grassmann, Hodge, de Rham and many… (More)

- Eitan Grinspun, Anil N. Hirani, Mathieu Desbrun, Peter Schröder
- Symposium on Computer Animation
- 2003

In this paper we introduce a discrete shell model describing the behavior of thin flexible structures, such as hats, leaves, and aluminum cans, which are characterized by a curved undeformed configuration. Previously such models required complex continuum mechanics formulations and correspondingly complex algorithms. We show that a simple shell model can be… (More)

- Yiying Tong, Santiago V. Lombeyda, Anil N. Hirani, Mathieu Desbrun
- ACM Trans. Graph.
- 2003

While 2D and 3D vector fields are ubiquitous in computational sciences, their use in graphics is often limited to regular grids, where computations are easily handled through finite-difference methods. In this paper, we propose a set of simple and accurate tools for the analysis of 3D discrete vector fields on arbitrary tetrahedral grids. We introduce a… (More)

- Anil N. Hirani, Takashi Totsuka
- SIGGRAPH
- 1996

Scratches on old films must be removed since these are more noticeable on higher definition and digital televisions. Wires that suspend actors or cars must be carefully erased during post production of special effects shots. Both of these are time consuming tasks but can be addressed by the following image restoration process: given the locations of noisy… (More)

- Joe D. Warren, Scott Schaefer, Anil N. Hirani, Mathieu Desbrun
- Adv. Comput. Math.
- 2007

In this paper we provide an extension of barycentric coordinates from simplices to arbitrary convex sets. Barycentric coordinates over convex 2D polygons have found numerous applications in various fields as it allows smooth interpolation of data located on vertices. However, no explicit formulation valid for arbitrary convex polytopes has been proposed to… (More)

- Evan VanderZee, Anil N. Hirani, Damrong Guoy, Edgar A. Ramos
- SIAM J. Scientific Computing
- 2010

Meshes composed of well-centered simplices have nice orthogonal dual meshes (the dual Voronoi diagram). This is useful for certain numerical algorithms that prefer such primal-dual mesh pairs. We prove that well-centered meshes also have optimality properties and relationships to Delaunay and minmax angle triangulations. We present an iterative algorithm… (More)

- Nathan M. Dunfield, Anil N. Hirani
- Symposium on Computational Geometry
- 2011

Two fundamental objects in knot theory are the minimal genus surface and the least area surface bounded by a knot in a 3-dimensional manifold. When the knot is embedded in a general 3-manifold, the problems of finding these surfaces were shown to be NP-complete and NP-hard respectively. However, there is evidence that the special case when the ambient… (More)

This paper demonstrates how discrete exterior calculus tools may be useful in computer vision and graphics. A variational approach provides a link with mechanics.

- Tamal K. Dey, Anil N. Hirani, Bala Krishnamoorthy
- SIAM J. Comput.
- 2010

Given a simplicial complex with weights on its simplices, and a nontrivial cycle on it, we are interested in finding the cycle with minimal weight which is homologous to the given one. Assuming that the homology is defined with integer (Z) coefficients, we show the following: <i>For a finite simplicial complex K of dimension greater than p, the boundary… (More)

- Anil N. Hirani, Jerrold E. Marsden, James Arvo
- EMMCVPR
- 2001

By exploiting an analogy with averaging procedures in fluid dynamics, we present a set of averaged template matching equations. These equations are analogs of the exact template matching equations that retain all the geometric properties associated with the diffeomorphism group, and which are expected to average out small scale features and so should, as in… (More)