Discontinuity-preserving Surface Reconstruction in Vision Processing
Author | : Sarvajit Sahay Sinha |
Publisher | : |
Total Pages | : 29 |
Release | : 1988 |
ISBN-10 | : OCLC:21542709 |
ISBN-13 | : |
Rating | : 4/5 (09 Downloads) |
Book excerpt: Abstract: "This paper presents a two stage algorithm for visual surface reconstruction while preserving discontinuities. The primary contribution is the second stage, a weighted bicubic spline as a surface descriptor. The weighted bicubic spline has a factor in the regularizing term that adapts the behavior of the spline across the discontinuity. The weighted bicubic interpolating spline is able to interpolate data with step discontinuities with no discernible distortion such as Gibbs phenomena in the interpolated surface. Since regularization is related to spline approximation, extensions to this work should suggest new ideas for solving ill-posed problems in vision. Experiments with weighted bicubic spline interpolation are presented."