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This paper proposes two approaches for utilizing multiple-feature group and multiple-view information to reduce the number of hypotheses passed to the verification stage in an invariant feature indexing (IFI)-based object recognition system [8]. The first approach is based on a majority voting scheme that tallies the number of consistent votes cast by prototype hypotheses for particular object models...
Invariant indexing functions have recently been shown to be effective for producing efficient recognition algorithms. However, the most useful shape descriptors for recognition are local or semi-local rather than global. In this paper we introduce an approach that ties together local invariant descriptions into larger object descriptions. The method works well for planar objects and has been used...
Invariant representations of images have proven useful in performing a variety of vision tasks. However, there are no general invariant functions when one considers a single 2-D image of a 3-D scene. One possible response to the lack of true invariants is to attempt to generalize the notion of an invariant by finding the most economical characterization possible of the set of all 2-D images that a...
A scheme for recognition of 3D objects from single 2D images is introduced. An object is modeled in this scheme by a small set of its views with the correspondence between the views. Novel views of the object are obtained by linearly combining the model views. The scheme accurately handles rigid objects under weak-perspective projection, and it is extended to handle rigid objects with smooth bounding...
The performance of the cross ratio in model based vision is quantified for a decision rule which is computationally expensive, but which makes good use of the available information. The probabilities of rejection, false alarm and misclassification are calculated, correct to leading order in the noise level. The probability of false alarm is closely related to the complete elliptic integral of the...
An algorithm for establishing the correspondence between two projectively transformed sets of coplanar points (or lines) is proposed and its performance analyzed. Five-tuples of features are represented by projective/permutation (p2) invariants which are insensitive to the order of the features in the computation. Matched five-tuples yield feature correspondence hypotheses accumulated in a contingency...
This paper presents a new low-computational-cost approach to minimum probability of error recognition of freeform objects in 3D range data or in 2D curve data in the image plane. Objects are represented by implicit polynomials (i.e., 3D algebraic surfaces or 2D algebraic curves) of degrees greater than 2, and are recognized by computing and matching vectors of their algebraic invariants (which are...
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