Hot Spots Conjecture and Its Application to Modeling Tubular Structures

  title={Hot Spots Conjecture and Its Application to Modeling Tubular Structures},
  author={Moo K. Chung and Seongho Seo and Nagesh Adluru and Houri K. Vorperian},
  journal={Machine learning in medical imaging. MLMI},
The second eigenfunction of the Laplace-Beltrami operator follows the pattern of the overall shape of an object. This geometric property is well known and used for various applications including mesh processing, feature extraction, manifold learning, data embedding and the minimum linear arrangement problem. Surprisingly, this geometric property has not been mathematically formulated yet. This problem is directly related to the somewhat obscure hot spots conjecture in differential geometry. The… CONTINUE READING

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