Title
Fast And Robust Surface Normal Integration By A Discrete Eikonal Equation
Abstract
The integration of surface normals is a classic and fundamental task in computer vision. In this paper we deal with a highly efficient fast marching (FM) method to perform the integration. In doing this we build upon a previous work of Ho and his coauthors. Their FM scheme is based on an analytic model that incorporates the eikonal equation. Our method is also built upon this equation, but it makes use of a complete discrete formulation for constructing the FM integrator (DEFM). We not only provide a theoretical justification of the proposed method, but also illustrate at hand of a simple example that our approach is much better suited to the task. Several more sophisticated tests confirm the robustness and higher accuracy of the DEFM model. Moreover, we present an extension of DEFM that allows to integrate surface normals over non-trivial domains, e.g. featuring holes. Numerical results confirm desirable qualities of this method.
Year
DOI
Venue
2012
10.5244/C.26.106
PROCEEDINGS OF THE BRITISH MACHINE VISION CONFERENCE 2012
Field
DocType
Citations 
Mathematical analysis,Computer science,Eikonal equation,Eikonal approximation,Normal
Conference
4
PageRank 
References 
Authors
0.42
4
3
Name
Order
Citations
PageRank
Silvano Galliani1576.11
Michael Breuß216825.45
Yong Chul Ju3122.94