Filling the Signed Distance Field by Fitting Local Quadrics

Authors:
Takeshi Masuda
Affiliations:
National Institute of Advanced Industrial Science and Technology (AIST), Japan
Venue:
3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
Year:
2004

Citing 0
Cited 8

Atomic volumes for mesh completion

SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
On geometric variational models for inpainting surface holes

Computer Vision and Image Understanding
Fixing geometric errors on polygonal models: a survey

Journal of Computer Science and Technology
Coarse-to-fine surface reconstruction from silhouettes and range data using mesh deformation

Computer Vision and Image Understanding
Improved space carving method for merging and interpolating multiple range images using information of light sources of active stereo

ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part II
Efficient distance estimation for fitting implicit quadric surfaces

ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
A hierarchical extension to 3D non-parametric surface relief completion

Pattern Recognition
Polygon mesh repairing: An application perspective

ACM Computing Surveys (CSUR)

Quantified Score

Hi-index	0.00

Visualization

Abstract

We propose a method of filling unmeasured regions of shape models integrated from multiple measurements of surface shapes. We use the signed distance field (SDF) as shape representation that contains information of the surface normal along with the signed distance at the closest point on the surface from the sampling point. We solve this problem by iteratively fitting quadratic function to generate smoothly connected SDF. We analyzed the relationship between the quadratic coefficients and the surface curvature, and by using the coefficients, we evenly propagated the SDF so that it satisfies the constraints of the field. The proposed method was tested on synthetic data and real data that was generated by integrating multiple range images.