Local feature detection for digital surfaces

Peter Veelaert

doi:10.1117/12.251795

30 September 1996 Local feature detection for digital surfaces

Peter Veelaert

Proceedings Volume 2826, Vision Geometry V; (1996) https://doi.org/10.1117/12.251795
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

Some properties of digital surfaces, such as straightness or flatness can be detected by the combined action of a large set of simple local feature detectors. Our goal is to examine how we can use feature detectors to improve the computation of tangents, curvature, surface normals for digitized curves and surfaces. For continuous surfaces these standard functions can be computed by differential operators. We propose to replace the differential operators by sets of difference operators and feature detectors. For each part of the surface the feature detectors determine which difference operator yields the best approximation for the differential. We show that both the set of feature detectors and the set of difference operators have a rigid mathematical structure. To examine this structure, i.e. the functional decomposition and combination of multiple feature detectors, we use Groebner bases.

Citation Download Citation

Peter Veelaert "Local feature detection for digital surfaces", Proc. SPIE 2826, Vision Geometry V, (30 September 1996); https://doi.org/10.1117/12.251795

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