Local feature detection for digital surfaces
Peter Veelaert · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1996
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.