Comparative Analysis of Kernel Methods for Statistical Shape Learning

Abstract

Prior knowledge about shape may be quite important for image segmentation. In particular, a number of different methods have been proposed to compute the statistics on a set of training shapes, which are then used for a given image segmentation task to provide the shape prior. In this work, we perform a comparative analysis of shape learning techniques such as linear PCA, kernel PCA, locally linear embedding and propose a new method, kernelized locally linear embedding for doing shape analysis. The surfaces are represented as the zero level set of a signed distance function and shape learning is performed on the embeddings of these shapes. We carry out some experiments to see how well each of these methods can represent a shape, given the training set.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2006
Accession Number
ADA463031

Entities

People

  • Allen Tannenbaum
  • Samuel Dambreville
  • Yogesh Rathi

Organizations

  • Georgia Tech

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Computer Vision
  • Data Sets
  • Dimensionality Reduction
  • Eigenvectors
  • Embedding
  • Equations
  • Factor Analysis
  • Hippocampus
  • Image Segmentation
  • Information Science
  • Learning
  • Machine Learning
  • Pattern Recognition
  • Recognition
  • Supervised Machine Learning

Fields of Study

  • Computer science

Readers

  • Graph Algorithms and Convex Optimization.
  • Neural Network Machine Learning.