Spherical wavelets: efficiently representing functions on the sphere
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Multiresolution analysis for surfaces of arbitrary topological type
ACM Transactions on Graphics (TOG)
VIS '97 Proceedings of the 8th conference on Visualization '97
Wavelets for computer graphics: theory and applications
Wavelets for computer graphics: theory and applications
Multiresolution Analysis on Irregular Surface Meshes
IEEE Transactions on Visualization and Computer Graphics
Best quadratic spline approximation for hierarchical visualization
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Biorthogonal wavelets for subdivision volumes
Proceedings of the seventh ACM symposium on Solid modeling and applications
An Introduction to Wavelets for Scientific Visualization
Dagstuhl '97, Scientific Visualization
Generalized B-Spline Subdivision-Surface Wavelets for Geometry Compression
IEEE Transactions on Visualization and Computer Graphics
Data compression with spherical wavelets and wavelets for the image-based relighting
Computer Vision and Image Understanding - Model-based and image-based 3D scene representation for interactive visalization
Biorthogonal loop-subdivision wavelets
Computing - Geometric modelling dagstuhl 2002
SOHO: Orthogonal and symmetric Haar wavelets on the sphere
ACM Transactions on Graphics (TOG)
Triangular wavelets: an isotropic image representation with hexagonal symmetry
Journal on Image and Video Processing
The structure of V-system over triangulated domains
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Subdivision surfaces for scattered-data approximation
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
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Multiresolution analysis based on FWT (Fast Wavelet Transform) is now widely used in Scientific Visualization. Spherical biorthogonal wavelets for spherical triangular grids where introduced in [5]. In order to improve on the orthogonality of the wavelets, the concept of nearly orthogonality, and two new piecewise-constant (Haar) bases were introduced in [4]. In our paper, we extend the results of [4]. First we give two one-parameter families of triangular Haar wavelet bases that are nearly orthogonal in the sense of [4]. Then we introduce a measure of orthogonality. This measure vanishes for orthogonal bases. Eventually, we show that we can find an optimal parameter of our wavelet families, for which the measure of orthogonality is minimized. Several numerical and visual examples for a spherical topographic data set illustrates our results.