An Hermitian Approach for Multiresolution Splines

This paper presents an alternative to the semi-orthogonal spline wavelets classically used for multiresolution representation in the eld of computer aided design. This new approach involves less computation, is more modular, and is potentially more exible than the classical approach. This multiresolution scheme is presented through the use of HB-splines, a speciic subset of particular B-splines that include some interesting properties for CAD. The new approach is nally compared to the classical one, on this particular example. Abstract: This paper presents an alternative to the semi-orthogonal spline wavelets classically used for multiresolution representation in the eld of computer aided design. This new approach involves less computation, is more modular, and is potentially more exible than the classical approach. This multiresolution scheme is presented through the use of HB-splines, a speciic subset of particular B-splines that include some interesting properties for CAD. The new approach is nally compared to the classical one, on this particular example.