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Comparing and Analyzing Collections of Surfaces

Objective

The proposed research program intends to cover all aspects of the problem of learning and analyzing collections of surfaces and apply the developed methods and algorithms to a wide range of scientific data.

The proposal has two parts:

In the first part of the proposal, we concentrate on developing the most basic operators comparing automatically pairs of surfaces. Although this problem has received
a lot of attention in recent years,
and significant progress has been made, there is still a great need for algorithms that are both efficient/tractable and come with guarantees
of convergence or accuracy. The main difficulty in most approaches so far
is that they work in a huge and non-linear search space to compare surfaces; most algorithms resort to gradient descent from an initial guess, risking to find only local optimal solution.
We offer a few research directions to tackle this problem based on the idea of identifying EFFICIENT search spaces that APPROXIMATE the desired optimal correspondence.

In the second part of the proposal we propose to make use of the methods developed in the first part to perform global analysis of, or learn, collections of surfaces. We
put special emphasis on ``real-world'' applications and intend to validate our algorithm on a significant collection, including data-sets such as biological anatomic data-sets and computer graphics' benchmark collections of surfaces. We propose to formulate and construct geometric structures on these collections and investigate their domain specific implications.

Call for proposal

ERC-2012-StG_20111012
See other projects for this call

Funding Scheme

ERC-SG - ERC Starting Grant

Host institution

WEIZMANN INSTITUTE OF SCIENCE
Address
Herzl Street 234
7610001 Rehovot
Israel
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 1 113 744
Principal investigator
Yaron Lipman (Dr.)
Administrative Contact
Gabi Bernstein (Ms.)

Beneficiaries (1)

WEIZMANN INSTITUTE OF SCIENCE
Israel
EU contribution
€ 1 113 744
Address
Herzl Street 234
7610001 Rehovot
Activity type
Higher or Secondary Education Establishments
Principal investigator
Yaron Lipman (Dr.)
Administrative Contact
Gabi Bernstein (Ms.)