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We present a theory and applications of discrete exterior calculus on simplicial complexes of arbitrary finite dimension. This can be thought of as calculus on a discrete space. Our theory includesâ€¦ (More)

- Eitan Grinspun, Anil N. Hirani, Mathieu Desbrun, Peter SchrÃ¶der
- 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 undeformedâ€¦ (More)

- Yiying Tong, Santiago V. Lombeyda, Anil N. Hirani, Mathieu Desbrun
- SIGGRAPH '03
- 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-differenceâ€¦ (More)

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

In this paper we provide an extension of barycentric coordin ates from simplices to arbitrary convex sets. Barycentric coordinat es over convex 2D polygons have found numerous applications in variousâ€¦ (More)

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

Scratches on old films must be removed since these are more not ic able on higher definition and digital televisions. Wires tha t suspend actors or cars must be carefully erased during post productiâ€¦ (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. Weâ€¦ (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 equationsâ€¦ (More)

- Tamal K. Dey, Anil N. Hirani, Bala Krishnamoorthy
- SIAM J. Comput.
- 2011

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

- 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, theâ€¦ (More)