Consistent partial matching of shape collections via sparse modeling

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In this paper, we introduce a novel approach to obtain consistent matches without requiring initial pairwise solutions to be given as input. The particular form of the problem allows us to leverage results and tools from the field of evolutionary game theory. This enables a highly efficient optimization procedure which assures accurate and provably consistent solutions in a matter of minutes in collections with hundreds of shapes.

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consistent partial matching of shape collections via sparse modeling

I accept. Polski English Login or register account. CosmoE. AlbarelliF. Abstract Recent efforts in the area of joint object matching approach the problem by taking as input a set of pairwise maps, which are then jointly optimized across the whole collection so that certain accuracy and consistency criteria are satisfied.

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DOI: How to deal with missing data is one of the recurring questions in data analysis. The handling of significant missing data is a challenge. In this paper, we are interested in the problem of 3D shape retrieval where the query shape is incomplete with moderate to significant portions of the original shape missing.

View via Publisher. Save to Library. Create Alert. Launch Research Feed. Share This Paper. Rostami, Fereshteh S. Bashiri, … Zeyun Yu Comput. Forum Figures, Tables, and Topics from this paper. Figures and Tables.

One Citation. Citation Type. Has PDF. Publication Type. More Filters. Research Feed. References Publications referenced by this paper. Shape google: Geometric words and expressions for invariant shape retrieval.Cosmo and E. Albarelli and F. Figure 1: A partial multi-way correspondence obtained with our approach on a heterogeneous collection of shapes.

Our method does not require initial pairwise maps as input, as it actively seeks a reliable correspondence by operating directly over the space of joint, cycle-consistent matches. Partially-similar as well as outlier shapes are automatically detected and accounted for by adopting a sparse model for the joint correspondence.

A subset of all matches is shown for visualization purposes. Recent efforts in the area of joint object matching approach the problem by taking as input a set of pairwise maps, which are then jointly optimized across the whole collection so that certain accuracy and consistency criteria are satisfied. One natural requirement is cycle-consistency — namely the fact that map composition should give the same result regardless of the path taken in the shape collection.

In this paper, we introduce a novel approach to obtain consistent matches without requiring initial pairwise solutions to be given as input. We do so by optimizing a joint measure of metric distortion directly over the space of cycle-consistent maps; in order to allow for partially-similar and extra-class shapes, we formulate the problem as a series of quadratic programs with sparsity-inducing constraints, making our technique a natural candidate for analyzing collections with a large presence of outliers.

The particular form of the problem allows us to leverage results and tools from the field of evolutionary game theory. This enables a highly efficient optimization procedure which assures accurate and provably consistent solutions in a matter of minutes in collections with hundreds of shapes.

Documents: Advanced Search Include Citations. CosmoE. AlbarelliF. Abstract Figure 1: A partial multi-way correspondence obtained with our approach on a heterogeneous collection of shapes. Powered by:.Recent efforts in the area of joint object matching approach the problem by taking as input a set of pairwise maps, which are then jointly optimized across the whole collection so that certain accuracy and consistency criteria are satisfied.

One natural requirement is cycle-consistencynamely the fact that map composition should give the same result regardless of the path taken in the shape collection. In this paper, we introduce a novel approach to obtain consistent matches without requiring initial pairwise solutions to be given as input.

We do so by optimizing a joint measure of metric distortion directly over the space of cycle-consistent maps; in order to allow for partially similar and extra-class shapes, we formulate the problem as a series of quadratic programs with sparsity-inducing constraints, making our technique a natural candidate for analysing collections with a large presence of outliers.

The particular form of the problem allows us to leverage results and tools from the field of evolutionary game theory. This enables a highly efficient optimization procedure which assures accurate and provably consistent solutions in a matter of minutes in collections with hundreds of shapes.

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consistent partial matching of shape collections via sparse modeling

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consistent partial matching of shape collections via sparse modeling

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Matsatsantsa have since went on an eight-match unbeaten run in all competitions at home after that loss. City got off to a bright start to life under McCarthy, reaching the MTN8 final but they have won only one of their last six league games, with their dramatic second half collapse at home to Maritzburg United in midweek particularly concerning. City will need to bring far more defensive resolve to Tshwane on Saturday, as they seek redemption for the MTN8 final defeat to SuperSport on October 14.

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consistent partial matching of shape collections via sparse modeling

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Incomplete 3D Shape Retrieval via Sparse Dictionary Learning

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