Subdivision surfaces refer to a class of modelling schemes that define an object through
recursive subdivision starting from an initial control mesh. Similar to B-splines, the final …

Subdivision schemes are efficient computational methods for the design and representation
of 3D surfaces of arbitrary topology. They are also a tool for the generation of refinable …

We generalize basic signal processing tools such as downsampling, upsampling, and filters
to irregular connectivity triangle meshes. This is accomplished through the design of a non …

Normal meshes are new fundamental surface descriptions inspired by differential geometry.
A normal mesh is a multiresolution mesh where each level can be written as a normal offset …

Second Generation Wavelets and Applications introduces" second generation wavelets"
and the lifting transform that can be used to apply the traditional benefits of wavelets into a …

B-splines are fundamental to approximation and data fitting, geometric modeling, automated
manufacturing, computer graphics, and numerical simulations. Because of their …

In this article we review techniques for building and analysing wavelets on irregular point
sets in one and two dimensions. We discuss current results both on the practical and …

Developed in this book are several deep connections between time-frequency
(Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful …

This book is a comprehensive introduction to visual computing, dealing with the modeling
and synthesis of visual data by means of computers. What sets this book apart from other …

We study the necessary and sufficient conditions for the generation of polynomials by
stationary subdivision schemes, and we show how to derive appropriate quasi-interpolation …