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weak geometric consistency

Weak geometric consistency is a fast spatial verification technique in image retrieval that filters out incorrect local feature matches by checking whether they share simple, uniform transformations such as consistent changes in scale, orientation, or translation. Rather than estimating a complex and computationally demanding global geometric transformation like an affine model or homography, this approach treats transformation parameters independently, typically using low-dimensional voting or histogram binning. By discarding matches whose scale and rotation differences deviate from the dominant consensus across an image pair, weak geometric consistency can be efficiently incorporated directly into indexing structures, providing an effective balance between matching accuracy and search scalability.

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Hamming Embedding and Weak Geometric Consistency for Large Scale Image Search

Hamming Embedding and Weak Geometric Consistency for Large Scale Image Search

Hervé Jégou, Matthijs Douze, Cordelia Schmid

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Why you should read this

Presents Hamming embedding and weak geometric consistency to refine visual-word descriptor matching and filter geometrically inconsistent features directly within an inverted file, substantially increasing retrieval accuracy on million-scale image databases.

This paper improves recent methods for large scale image search. State-of-the-art methods build on the bag-of-features image representation. We, first, analyze bag-of-features in the framework of approximate nearest neighbor search. This shows the sub-optimality of such a representation for matching descriptors and leads us to derive a more precise representation based on 1) Hamming embedding (HE) and 2) weak geometric consistency constraints (WGC). HE provides binary signatures that refine the matching based on visual words. WGC filters matching descriptors that are not consistent in terms of angle and scale. HE and WGC are integrated within the inverted file and are efficiently exploited for all images, even in the case of very large datasets. Experiments performed on a dataset of one million of images show a significant improvement due to the binary signature and the weak geometric consistency constraints, as well as their efficiency. Estimation of the full geometric transformation, i.e., a re-ranking step on a short list of images, is complementary to our weak geometric consistency constraints and allows to further improve the accuracy.

Added

2026-09-16