Abstract: This paper describes
the construction of second generation bandelet orthogonal bases and their
application to 3D geometry compression. The new coding scheme is orthogonal
and the corresponding basis functions are regular. Surfaces are decomposed
in a bandelet basis with a fast bandeletization algorithm that removes
the geometric redundancy of orthogonal wavelet coefficients. The resulting
transform coding scheme has an error decay that is asymptotically optimal
for geometrically regular surfaces. We use these bandelet bases to perform
geometry image and normal map compression. Numerical tests show that for
such complex surfaces, bandelets bring an improvement of 1.5dB to 2dB.
This illustrates the importance of integrating geometric harmonic analysis
approaches in surface processing.