Nonlinear multiresolution techniques with applications toscientific visualization in a haptic environment

摘要

This paper develops nonlinear multiresolution techniques fornscientific visualization utilizing haptic methods. The visualization ofndata is critical to many areas of scientific pursuit. Scientificnvisualization is generally accomplished through computer graphicntechniques. Recent advances in haptic technologies allow visualntechniques to be augmented with haptic methods. The kinesthetic feedbacknprovided through haptic techniques provides a second modality fornvisualization and allows for active exploration. Moreover, hapticnmethods can be utilized by individuals with visual impairments. Hapticnrepresentations of large data sets, however, can be confusing to a user,nespecially if a visual representation is not available or cannot benused. This paper develops a multiresolution data decomposition methodnbased on the affine median filter. This results in a hybrid structurenthat can be tuned to yield a decomposition that varies from a linearnwavelet decomposition to that produced by the median filter. Thenperformance of this hybrid structure is analyzed utilizing deterministicnsignals and statistically in the frequency domain. This analysis andnqualitative and quantitative implementation results show that the affinenmedian decomposition has advantages over previously proposed methods. Innaddition to multiresolution decomposition development, analysis, andnresults, haptic implementation methods are presented