论文信息 - An Orthonormal Basis of Directional Haar Wavelets on Triangles

An Orthonormal Basis of Directional Haar Wavelets on Triangles

Abstract.In order to get an efficient representation of images which contain orientated edges we construct a directional wavelet basis for $$L^2(\mathbb {R}^2)$$. The wavelets basis consists of Haar wavelets with compact support on triangles. In comparison with the classical wavelet transform our functions offer two more directions (diagonal directions). Applying our simple wavelet system to image denoising and approximation we observe suprisingly good results.

Jens Krommweh

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