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Related Experiment Video

Updated: Jul 16, 2026

Operation of the Collaborative Composite Manufacturing (CCM) System

Operation of the Collaborative Composite Manufacturing (CCM) System

Published on: October 1, 2019

Open-curve shape correspondence without endpoint correspondence.

Theodor Richardson¹, Song Wang

¹Department of Computer Science and Engineering, University of South Carolina, Columbia, SC 29208, USA. richa268@cse.sc.edu

Medical Image Computing and Computer-Assisted Intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention

|March 16, 2007

Summary

This study introduces a new algorithm for partial shape correspondence in 2D open curves. It refines landmark placement to accurately map shapes, even when endpoints don't align.

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Area of Science:

Computer Vision
Computational Geometry
Medical Imaging

Background:

Accurate statistical shape analysis relies on shape correspondence.
Existing methods often assume complete shape mapping, limiting their use with partial shapes.
Partial shape correspondence is challenging due to unaligned endpoints.

Purpose of the Study:

To develop a novel algorithm for 2D open-curve partial-shape correspondence.
To enable mapping where one shape instance corresponds to only a part of another.
To address limitations of methods assuming complete shape correspondence.

Main Methods:

A new algorithm refines landmark placement by allowing free sliding along contours.
Landmarks, including those near endpoints, are adjusted to minimize correspondence error.
Improved landmark initialization and additional sliding constraints prevent local optima.

Main Results:

The algorithm effectively handles partial shape correspondence for 2D open curves.
Demonstrated improved landmark refinement compared to existing methods.
Evaluated on 32 femur shape instances, showing comparative performance.

Conclusions:

The proposed algorithm offers a robust solution for partial shape correspondence.
It advances statistical shape analysis by accommodating incomplete shape mappings.
This method has potential applications in fields requiring analysis of incomplete shape data.