Colour triplet-valued wavelets and splines

The concept of colour and and multispectral image recognition connects all the topics we are considering. Colour (multispectral) image processing is investigated using an algebraic approach based on triplet numbers. In the algebraic approach, each image element is considered not as a 3D vector, but as a triplet number. The main goal of the paper is to show that triplet algebra can be used to solve colour image processing problems in a natural and effective manner. We propose novel methods for wavelet transforms and spline implementation in colour space.