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- Nalini K. Ratha, Kalle Karu, Shaoyun Chen, Anil K. Jain
- IEEE Trans. Pattern Anal. Mach. Intell.
- 1996

With the current rapid growth in multimedia technology, there is an imminent need for efficient techniclues to search and query large image databases. Because of their unique and peculiar needs, image databases cannot be treated iri a similar fashion to other types of digital libraries. The contextual dependencies present in images, and the complex nature… (More)

- CAUCHER BIRKAR, PAOLO CASCINI, +12 authors Martin W. Olsson
- 2008

We prove that the canonical ring of a smooth projective variety is finitely generated.

Building on work of the fourth author in [68], we prove the weak factorization conjecture for birational maps in characteristic zero: a birational map between complete nonsingular varieties over an algebraically closed field K of characteristic zero is a composite of blowings up and blowings down with smooth centers. Preliminary version, April 22, 1999.

- Yu Zhong, Kalle Karu, Anil K. Jain
- ICDAR
- 1995

- Anil K. Jain, Kalle Karu
- IEEE Trans. Pattern Anal. Mach. Intell.
- 1996

- Kalle Karu
- 2006

The number of flags in a complete fan, or more generally in an Eulerian poset, is encoded in the cd-index. We prove the non-negativity of the cd-index for complete fans, regular CW -spheres and Gorenstein* posets.

- Kalle Karu
- 2001

The Hard Lefschetz theorem is known to hold for the intersection cohomology of the toric variety associated to a rational convex polytope. One can construct the intersection cohomology combinatorially from the polytope, hence it is well defined even for nonrational polytopes when there is no variety associated to it. We prove the Hard Lefschetz theorem for… (More)

- Kalle Karu, Anil K. Jain, Ruud M. Bolle
- ICPR
- 1996

Texture analysis methods have been used in various image processing tasks, such as image segmentation, recognition, shape analysis, texture synthesis and image compression. When applying any of these methods, we assume that the input image has some textural characteristics. This paper addresses the problem of deciding whether an image has texture; in other… (More)

We prove a decomposition theorem for the cd-index of a Gorenstein* poset analogous to the decomposition theorem for the intersection cohomology of a toric variety. From this we settle a conjecture of Stanley that the cd-index of Gorenstein* lattices is minimized on Boolean algebras.

- Kalle Karu
- 2008

The strong factorization conjecture states that a proper birational map between smooth algebraic varieties over a field of characteristic zero can be factored as a sequence of smooth blowups followed by a sequence of smooth blowdowns. We prove a local version of the strong factorization conjecture for toric varieties. Combining this result with the… (More)