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Related Experiment Video

Updated: Jul 7, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

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Published on: July 19, 2016

Examples of bivariate nonseparable compactly supported orthonormal continuous wavelets.

W He¹, M J Lai

¹Department of Mathematics, University of Georgia, Athens, GA 30602, USA.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society

|February 8, 2008

Summary

Researchers constructed novel bivariate nonseparable compactly supported orthonormal wavelets. The study investigates the Holder continuity properties of these wavelets, expanding wavelet analysis applications.

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Last Updated: Jul 7, 2026

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Area of Science:

Mathematics
Applied Mathematics
Signal Processing

Background:

Wavelet analysis is crucial for signal processing and data analysis.
Compactly supported orthonormal wavelets offer efficient representations.
Bivariate wavelets extend analysis to two-dimensional data.

Purpose of the Study:

To construct and analyze bivariate nonseparable compactly supported orthonormal wavelets.
To investigate the Holder continuity properties of these wavelets.

Main Methods:

Construction of bivariate nonseparable wavelets.
Analysis of scaling function support.
Mathematical analysis of Holder continuity.

Main Results:

Successfully generated multiple examples of bivariate nonseparable compactly supported orthonormal wavelets.
Demonstrated that the scaling functions are supported over the domain [0,3]x[0,3].
Characterized the Holder continuity properties of the constructed wavelets.

Conclusions:

The study provides valuable examples of bivariate wavelets with specific support properties.
Understanding Holder continuity is essential for applications requiring smoothness analysis.
These findings contribute to the development of advanced wavelet methods for 2D data.