Image stitching algorithms often adopt the global transformation, such as homography, and work well for planar scenes or parallax free camera motions. However, these conditions are easily violated in practice. With casual camera motions, variable taken views, large depth change, or complex structures, it is a challenging task for stitching these images. The global transformation model often pro...

It is shown that every ray transfer matrix, often called the ABCD matrix, can be written as a similarity transformation of one of the Wigner matrices that dictate the internal space-time symmetries of relativistic particles, while the transformation matrix is a rotation preceded by a squeeze. The implementation of this mathematical procedure is described, and how it facilitates the calculations...

Knowledge discovery in scientific data, i.e. the extraction of engineering knowledge in form of a mathematical model description from experimental data, is currently an important part in the industrial re-engineering effort for an improved knowledge reuse. Despite the fact that large collections of data have been acquired in expensive investigations from numerical simulations and experiments in...

In this paper, we propose spatial propagation networks for learning the affinity matrix for vision tasks. We show that by constructing a row/column linear propagation model, the spatially varying transformation matrix exactly constitutes an affinity matrix that models dense, global pairwise relationships of an image. Specifically, we develop a three-way connection for the linear propagation mod...

The application of Curvature Scale Space representation in shape similarity retrieval under affine transformation is addressed in this paper. The maxima of Curvature Scale Space (CSS) image have already been used to represent 2-D shapes in different applications. The representation has shown robustness under the similarity transformations. Scaling, orientation changes, translation and even nois...

A transformation of the form x → iy; x, y ∈ R, or a Darbouxal-type similarity transformation with a metric operator η are shown to transform non-Hermitian PT -symmetric Hamiltonians (with positive mass m = + |m|) into their Hermitian partner Hamiltonians (with negative mass m = − |m|) in Hilbert space. PACS codes: 03.65.Ge, 03.65.Ca

Background in musicology. A central problem in musicology is to develop classification algorithms that match the way human observers perceive musical rhythm similarity and pass on music forms as cultural knowledge. Rhythm similarity measures that have been investigated in the past fall into two categories: transformation methods and feature-based methods. In the former the similarity is measure...

A transformation of the form x → ±iy ∈ iR; x, y ∈ R, or an equivalent similarity transformation with a metric operator η are shown to map non-Hermitian PT -symmetric Hamiltonians into Hermitian partner Hamiltonians in Hilbert space. Isospectrality and mass signature are also discussed. PACS codes: 03.65.Ge, 03.65.Ca