Institute for Mathematical Sciences                                        Programs & Activities



Online registration form





      Scientific aspects


Mathematics of Shapes and Applications
(4 - 31 July 2016)


Organizing Committee · Visitors and Participants · Overview · Activities · Venue


 Organizing Committee





  • Alvina Goh (National University of Singapore)
  • Anqi Qiu (National University of Singapore)

 Visitors and Participants




Understanding how a single shape can incur a complex range of transformations, while defining the same perceptually obvious figure, entails a rich and challenging collection of problems, at the interface between applied mathematics, statistics and computer science. Numerous applications in computer vision, object recognition, medical imaging and other fields bring additional motivation for researchers to develop adequate theoretical background and methodology to tackle these problems.

The topic "Mathematics of Shape and Applications" has traditionally been a highly interdisciplinary research area, and typically involves mathematicians, statisticians, engineers, computer scientists as well as a wide variety of clinical researchers such as neuroscientists, psychiatrists and radiologists. This is only possible due to the interaction and collaboration among the aforementioned different fields that has resulted in this common interest and the proposed IMS program will further strengthen such a beneficial arrangement. In addition, the proposed IMS program includes a series of tutorials that will allow local participants to quickly grasp the fundamentals of this topic before going into the deeper and more exciting open research questions.


Summer School on Mathematics of Shapes

Summer school aims to introduce the theory of shapes to a wide audience through a series of classes.


  • Introduction to Lie groups
  • Transformations (rigid, affine, diffeomorphisms), metrics, EPDiff
  • Shapes and representations
  • Shape matching, optimization
  • Statistics on Spaces of Shapes

Workshop on State-of-the-Art Shape Research and its Applications

This workshop will discuss the advanced developments recently made in the field of shape analysis as well as improvements that such methods have brought about in the modeling and analysis of real-life applications.

Workshop on Applications: Biomedical Imaging and Computer Vision
Tutorial will focus on applications of shapes in various disciplines.

  • Computer vision: segmentation and tracking, matching, shape recognition;
  • Medical imaging and analysis: human brain, cardiovascular systems, organ systems;
  • Biological imaging: dendritic spine shape analysis, cancer cells morphology;
  • Geospatial technology: geographic information science, cartography, georeferencing.


  • Summer School on Mathematics of Shapes: 4 - 15 July 2016

    Topics on Wavelets
    Speaker: Ji Hui, National University of Singapore

    Introduction to the Differential Geometry
    Speakers: Joan Alexis Glaunès (Université Paris Descartes, France) and Sergey Kushnarev, Singapore University of Technology and Design

    Topics on Manifolds of Diffeomorphisms, EPDiff
    Speakers: Joan Alexis Glaunès, Université Paris Descartes, France, Martin Bauer, University of Vienna, Austria and Martins Bruveris, Brunel University, UK

    Topics on Statistics on Shape Spaces
    Speaker: Tom Fletcher, University of Utah, USA

    Topics on Lie Groups: Rigid, Affine
    Speaker: Richard Hartley, Australian National University, Australia

  • Workshop on State-of-the-Art Shape Research and its Applications: 18 - 22 July 2016
  • Workshop on Applications: Biomedical Imaging and Computer Vision: 25 - 29 July 2016

Please note that our office will be closed on the following public holiday.

- 6 July 2016 (Hari Raya Puasa)




Organizing Committee · Visitors and Participants · Overview · Activities · Venue

Best viewed with IE 7 and above