This paper proposes the multiresolution mode decomposition (MMD) as a novel model for adaptive time series analysis. The main conceptual innovation is introduction of intrinsic function (MIMF) form∑n=−N/2N/2−1ancos⁡(2πnϕ(t))scn(2πNϕ(t))+∑n=−N/2N/2−1bnsin⁡(2πnϕ(t))ssn(2πNϕ(t)) to nonlinear and non-stationary data with time-dependent amplitudes, frequencies, waveforms. expansion coefficients {an}...

We present a new multiresolution analysis framework based on the lifting scheme for irregular meshes with attributes. We introduce a surface prediction operator to compute the detail coefficients for the geometry and the attributes of the model. Attribute analysis gives appearance information to complete the geometrical analysis of the model.We present an application to adaptive visualization a...

A wavelet-based data visualization tool is presented to support multiresolution analysis of very large multidimensional multivariate (mdmv) scientific data. It has the ability to display scientific data in a fine to coarse hierarchical fashion. In addition, the tool has error tracking facilities that enable scientists to visualize error information of an individual coarse approximation and the ...

Abstract In recent years the concept of multiresolution-based adaptive discontinuous Galerkin (DG) schemes for hyperbolic conservation laws has been developed. The key idea is to perform a multiresolution analysis DG solution using multiwavelets defined on hierarchy nested grids. Typically this applied dyadic grid hierarchies where explicit construction be performed only one reference element. ...

The concept of vector-valued multiresolution analysis on local field of positive characteristic was considered by Abdullah [Vector-valued multiresolution analysis on local fields of positive characteristic, Analysis. 34(2014) 415-428]. We construct the associated wavelet packets for such an MRA and investigate their properties by virtue of the Fourier transform. Moreover, it is shown how to obt...

Multiresolution geometric models support the representation and processing of geometric entities at di erent levels of resolution, and are useful in several application elds, such as geographic information systems, CAD systems and scienti c visualization. The aim of this paper is to provide a systematic framework for multiresolution geometric modeling, independent both of the dimension of spati...