In the fields of computer vision and image analysis, the scale-invariant feature operator (or SFOP) is an algorithm to detect local features in images. The algorithm was published by Förstner et al. in 2009.

Algorithm The scale-invariant feature operator (SFOP) is based on two theoretical concepts: spiral model feature operator

Desired properties of keypoint detectors: Invariance and repeatability for object recognition Accuracy to support camera calibration Interpretability: Especially corners and circles, should be part of the detected keypoints (see figure). As few control parameters as possible with clear semantics Complementarity to known detectors

scale-invariant corner/circle detector.

Theory Maximize the weight Maximize the weight = 1/variance of a point

comprising:

1. the image model

2. the smaller eigenvalue of the structure tensor

Reduce the search space Reduce the 5-dimensional search space by linking the differentiation scale to the integration scale

solving for the optimal using the model

and determining the parameters from three angles, e. g.

pre-selection possible:

Filter potential keypoints

non-maxima suppression over scale, space and angle

thresholding the isotropy :eigenvalues characterize the shape of the keypoint, smallest eigenvalue has to be larger than threshold derived from noise variance and significance level :

Algorithm

Results Interpretability of SFOP keypoints

See also

Corner detection Feature detection (computer vision)

References

External links Project website at University of Bonn