Wavelet subdivision methods. GEMS for rendering curves and surfaces

OVERVIEW Curve representation and drawing Free-form parametric curves From subdivision to basis functions Wavelet subdivision and editing Surface subdivision BASIS FUNCTIONS FOR CURVE REPRESENTATION Refinability and scaling functions Generation of smooth basis functions Cardinal B-splines Stable bases for integer-shift spaces Splines and polynomial reproduction CURVE SUBDIVISION SCHEMES Subdivision matrices and stencils B-spline subdivision schemes Closed curve rendering Open curve rendering BASIS FUNCTIONS GENERATED BY SUBDIVISION MATRICES Subdivision operators The up-sampling convolution ope. 
Abstract: Focusing on subdivision curves and surfaces, this book details wavelet methods for geometric design, editing, and algorithm development. It presents a study of the theory, methods, and construction algorithms for the ideal wavelet families associated with the subdivision schemes. It provides the necessary background on wavelet mathematics.