Heat Diffusion Equation and Optimal Transport in Geometry Processing and Computer Graphics

in Special Issue   Posted on November 2, 2017 

Information for the Special Issue

Submission Deadline: Mon 19 Feb 2018
Journal Impact Factor : 1.230
Journal Name : Computer Aided Geometric Design
Journal Publisher:
Website for the Special Issue: https://www.journals.elsevier.com/computer-aided-geometric-design/call-for-papers/special-issue-on-heat-diffusion-equation-and-optimal-transpo
Journal & Submission Website: https://www.journals.elsevier.com/computer-aided-geometric-design

Special Issue Call for Papers:

Guest Editors: David Xianfeng Gu (Stony Brook University, USA), Giuseppe Patanè (CNR-IMATI, Italy)


In geometry processing and shape analysis, several problems and applications have been addressed through the properties of the solution to the heat diffusion equation and to the optimal transport. For instance, diffusion kernels allow us to define diffusion distances, shape descriptors and clustering methods, to approximate geodesics and optimal transport distances, to deform 3D shapes, to smooth and approximate signals in a multi-scale fashion. Optimal transport has been successfully applied to volume parameterization, surface registration, inter-surface mapping, shape matching and comparison. Furthermore, the heat diffusion equation and the optimal transport are intrinsically correlated and central in different research fields, such as Computer Graphics, Geometry, Manifold Learning, and Differential Equations.

Main topics

This Special Section of the CAGD Journal, published by Elsevier, covers a range of topics on the properties, discretization, computation, and applications of the heat equation and the optimal transport in the context of Computer Graphics, Computer-Aided Geometric Design, and related research fields. The topics range from geometry processing to high-level understanding of 3D shapes, and more generally n-dimensional data, including feature extraction, segmentation, and matching. The list of suggested topics includes but is not limited to:

• Heat diffusion equation
• Diffusion kernels and distances
• Diffusion shape descriptors
• Multi-scale modeling and approximation
• Optimal transport
• Wasserstein distance
• Geometry processing applications
• Surface parameterization
• Shape modelling applications
• Shape matching and comparison
• Dynamic surface tracking
• Shape analysis and retrieval
• Shape correspondence and registration
• Manifold learning
• Generative model in Machine Learning
• Clustering and dimensionality reduction
• Applications to Geometry Processing
• Applications to Computer Graphics
• Applications to Computational Geometry
• Applications to 3D Printing
• Applications to Material Design
• Applications to Computer Vision
• Applications to Medicine (e.g., brain and neuro-imaging)

Manuscript preparation and submission

This thematic issue seeks high-quality research, survey, theory and application submissions. Papers must be original contributions, not previously published or currently under-review in other journals. Submissions based on previous published or submitted conference papers may be considered provided they are considerably improved and extended.

Instructions for authors available at
Journal and Submission URL
(selecting the option SI: CGTA 2017 when reaching step of selecting article type name in submission process)

For information, please contact Giuseppe Patanè [email protected]


• Full paper submission: 19 February 2018
• Notification of the 1st review process: 28 March 2018
• Revised version due: 30 April 2018
• Notification of acceptance: 15 May 2018
• Camera ready copy due: 31 May 2018

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