Journal of Applied Mathematics
Volume 2004 (2004), Issue 6, Pages 495-528
doi:10.1155/S1110757X04404070
Abstract
An alternative to Osiris wavelet systems is introduced in two
dimensions. The basic building blocks are continuous piecewise
linear functions supported on equilateral triangles instead of on
squares. We refer to wavelets generated in this way as Set
wavelets. We introduce a Set wavelet system whose homogeneous
mode density is 2/5. The system is not orthonormal, but we
derive a positive lower bound on the overlap matrix.