Lawn-mowing algorithm for noisy gradient vector fields

Lyle Noakes; Ryszard Kozera; Reinhard Klette

doi:10.1117/12.364106

23 September 1999 Lawn-mowing algorithm for noisy gradient vector fields

Lyle Noakes, Ryszard Kozera, Reinhard Klette

Proceedings Volume 3811, Vision Geometry VIII; (1999) https://doi.org/10.1117/12.364106
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

In this paper we analyze a specific problem within the context of recovering the geometric shape of an unknown surface from multiple noisy shading patterns generated by consecutive parallel illuminations by different light-sources. Shading- based single-view shape recovery in computer vision often leads to vector fields (i.e. estimated surface normals) which have to be integrated for calculations of height or depth maps. We present an algorithm for enforcing the integrability condition of a given non-integrable vector field which ensures a global suboptimal solution by local optimizations. The scheme in question relies neither on a priori knowledge of boundary conditions nor on other global constraints imposed on the so-far derived noise contaminated gradient integration techniques. The discussion is supplemented by examples illustrating algorithm performance.

Citation Download Citation

Lyle Noakes, Ryszard Kozera, and Reinhard Klette "Lawn-mowing algorithm for noisy gradient vector fields", Proc. SPIE 3811, Vision Geometry VIII, (23 September 1999); https://doi.org/10.1117/12.364106

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