Abstract. Several factorization techniques have been proposed for tackling the Structure from Motion problem. Most of them provide a good solution, while the amount of missing and noisy data is within an acceptable ratio. Focussing on this problem, we propose to use an incremenal multiresolution scheme, with classical factorization techniques. Information recovered following a coarse-to-fine st...

We present an explicit construction of the factorization of Seiberg-Witten curves for N = 2 theory with fundamental flavors. We first rederive the exact results for the case of complete factorization, and subsequently derive new results for the case with breaking of gauge symmetry U(Nc) → U(N1)×U(N2). We also show that integrality of periods is necessary and sufficient for factorization in the ...

Several factorization techniques have been proposed for tackling the Structure from Motion problem. Most of them provide a good solution, while the amount of missing and noisy data is within an acceptable ratio. Focussing on this problem, we propose to use an iterative multiresolution scheme, with classical factorization techniques. Information recovered following a coarseto-fine strategy is us...

We apply nonnegative matrix factorization to the task of music transcription. In music transcription we are given an audio recording of a musical piece and attempt to find the underlying sheet music which generated the music. We improve upon current transcription results by imposing novel temporal and sparsity constraints which exploit the structure of music. We demonstrate the effectiveness or...

A well-known approach to compute the LU factorization of a general unsymmetric matrix A is to build the elimination tree associated with the pattern of the symmetric matrix A + A and use it as a computational graph to drive the numerical factorization. This approach, although very eÆcient on a large range of unsymmetric matrices, does not capture the unsymmetric structure of the matrices. We in...

Incomplete LU factorizations are among the most eeective preconditioners for solving general large, sparse linear systems arising from practical engineering problems. This paper shows how an ILU factorization may be easily computed in sparse skyline storage format, as opposed to traditional row-by-row schemes. This organization of the factorization has many advantages, including its amenability...

Structure from motion is an import theme in computer vision. Although great progress has been made both in theory and applications, most of the algorithms only work for static scenes and rigid objects. In recent years, structure and motion recovery of nonrigid objects and dynamic scenes have received a lot of attention. In this paper, the state-of-the-art techniques for structure and motion fac...

Exponential Puiseux semirings are additive submonoids of [Formula: see text] generated by almost all the nonnegative powers a positive rational number, and they natural generalizations cyclic semirings. In this paper, we investigate some factorization invariants exponential briefly explore connections these properties with semigroup-theoretical invariants. Specifically, provide exact formulas t...

Numerical simulation of plant growth has been facing a bottleneck due to the cumbersome computation implied by the complex plant topological structure. In this paper, we present a new mathematical model for plant growth, GreenLab, overcoming these difficulties. GreenLab is based on a powerful factorization of the plant structure. Fast simulation algorithms are derived for deterministic and stoc...