With the rapid development of radar industry technology, corresponding signal processing technology becomes more and complex. For with short-range detection function, its mostly presents characteristics wide bandwidth multiresolution. In traditional data process, a large number signals will interfere signal, which makes final difficult or even impossible. Based on this problem, paper proposes p...

We propose an unsupervised method for learning a generic and efficient shape encoding network different analysis tasks. Our key idea is to jointly encode learn point features from unlabeled 3D clouds. For this purpose, we adapt HRNet octree-based convolutional neural networks with fused multiresolution subnetworks design simple-yet-efficient Multiresolution Instance Discrimination (MID) loss th...

The purpose of this paper is to study the relationships between the support of a reenable distribution and the global and local linear independence of the integer translates of : It has been shown elsewhere that a compactly supported distribution has globally independent integer translates if and only if has minimal convex support. However, such a distribution may have \holes" in its support. B...

We introduce a new approach in order to construct a wavelets with arbitrary support on the interval. This result allows us to adapt on the interval some important classes of wavelets (coiflets, symlets, Lemarié's wavelets). In addition, we show how to obtain multiresolution analysis on the interval with better approximation rate in some neighborhood of the interval.

We improve Wang's characterization for a pair of biorthogonal wavelets to be associated with biorthogonal multiresolution analyses (MRA's). We show that one of the two conditions in his characterization is redundant, and, along the way, show that for a pair of biorthogonal wavelets to be associated with biorthogonal MRA's it is necessary and suÆcient that one of the wavelets is associated with ...

This paper studies the construction of highly symmetric compactly supported wavelets for hexagonal data/image and triangle surface multiresolution processing. Recently hexagonal image processing has attracted attention. Compared with the conventional square lattice, the hexagonal lattice has several advantages, including that it has higher symmetry. It is desirable that the filter banks for hex...

Multiresolution motion analysis has gained great research interest as a unified framework to facilitate a variety of motion editing tasks. In this framework, motion data are represented as a collection of coefficients that form a coarse-to-fine hierarchy. The coefficients at the coarsest level describe the global pattern of a motion signal, while those at fine levels provide different details a...

In this paper, we give an algorithm to construct semi-orthogonal symmetric and anti-symmetric M-band wavelets. As an application, some semi-orthogonal symmetric and anti-symmetric M-band spline wavelets are constructed explicitly. Also we show that if we want to construct symmetric or anti-symmetric M-band wavelets from a multiresolution, then that multiresolution has a symmetric scaling function.