## Reconstructing Surfaces By Volumetric Regularization Using Radial Basis Functions

Citations: | 35 - 3 self |

### BibTeX

@MISC{Dinh_reconstructingsurfaces,

author = {Huong Quynh Dinh and Greg Turk and Greg Slabaugh},

title = {Reconstructing Surfaces By Volumetric Regularization Using Radial Basis Functions },

year = {}

}

### Years of Citing Articles

### OpenURL

### Abstract

We present a new method of surface reconstruction that generates smooth and seamless models from sparse, noisy, non-uniform, and low resolution range data. Data acquisition techniques from computer vision, such as stereo range images and space carving, produce 3D point sets that are imprecise and non-uniform when compared to laser or optical range scanners. Traditional reconstruction algorithms designed for dense and precise data do not produce smooth reconstructions when applied to vision-based data sets. Our method constructs a 3D implicit surface, formulated as a sum of weighted radial basis functions. We achieve three primary advantages over existing algorithms: (1) the implicit functions we construct estimate the surface well in regions where there is little data; (2) the reconstructed surface is insensitive to noise in data acquisition because we can allow the surface to approximate, rather than exactly interpolate, the data; and (3) the reconstructed surface is locally detailed, yet globally smooth, because we use radial basis functions that achieve multiple orders of smoothness.