Heat diffusion long-short term memory learning for 3D shape analysis

Fan Zhu, Jin Xie, Yi Fang

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The heat kernel is a fundamental solution in mathematical physics to distribution measurement of heat energy within a fixed region over time, and due to its unique property of being invariant to isometric transformations, the heat kernel has been an effective feature descriptor for spectral shape analysis. The majority of prior heat kernel-based strategies of building 3D shape representations fail to investigate the temporal dynamics of heat flows on 3D shape surfaces over time. In this work, we address the temporal dynamics of heat flows on 3D shapes using the long-short term memory (LSTM).We guide 3D shape descriptors toward discriminative representations by feeding heat distributions throughout time as inputs to units of heat diffusion LSTM (HD-LSTM) blocks with a supervised learning structure. We further extend HD-LSTM to a crossdomain structure (CDHD-LSTM) for learning domain-invariant representations of multi-view data. We evaluate the effectiveness of both HD-LSTM and CDHD-LSTM on 3D shape retrieval and sketch-based 3D shape retrieval tasks respectively. Experimental results on McGill dataset and SHREC 2014 dataset suggest that both methods can achieve state-of-the-art performance.

Original languageEnglish (US)
Title of host publicationComputer Vision - 14th European Conference, ECCV 2016, Proceedings
EditorsBastian Leibe, Jiri Matas, Nicu Sebe, Max Welling
PublisherSpringer Verlag
Number of pages17
ISBN (Print)9783319464770
StatePublished - 2016
Event14th European Conference on Computer Vision, ECCV 2016 - Amsterdam, Netherlands
Duration: Oct 8 2016Oct 16 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9911 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference14th European Conference on Computer Vision, ECCV 2016


  • 3D shape retrieval
  • Heat kernel signature
  • Long-short term memory
  • Recurrent neural network

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science


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