Two-Dimensional Wavelets and their Relatives

Two-dimensional wavelets offer a number of advantages over discrete wavelet transforms when processing rapidly varying functions and signals. In particular, they offer benefits for real-time applications such as medical imaging, fluid dynamics, shape recognition, image enhancement and target tracking. This book introduces the reader to 2-D wavelets via 1-D continuous wavelet transforms, and includes a long list of useful applications. The authors then describe in detail the underlying mathematics before moving on to more advanced topics such as matrix geometry of wavelet analysis, three-dimensional wavelets and wavelets on a sphere. Throughout the book, practical applications and illustrative examples are used extensively, ensuring the book's value to engineers, physicists and mathematicians alike.

• The first of its kind in print dealing with the two - and higher - dimensional continuous wavelet transforms, with extensive examples of applications
• Gradual introduction of the underlying mathematical tools, with very few prerequisites, yet leading the reader to the research frontier
• Covers both the continuous and the discrete wavelet transforms