Abstract
Signed 3D distance fields are used a in a variety of domains. From
shape modelling to surface registration. They are typically computed
based on sampled point sets. If the input point set contains holes,
the behaviour of the zero-level surface of the distance field is not
well defined. In this paper, a novel regularisation approach is
described. It is based on energy formulation, where both local
smoothness and data fidelity are included. The minimisation of the
global energy is shown to be the solution of a large set of linear
equations. The solution to the linear system is found by sparse
Cholesky factorisation. It is demonstrated that the zero-level
surface will act as a membrane after the proposed regularisation.
This effectively closes holes in a predictable way. Finally, the
performance of the method is tested with a set of synthetic point
clouds of increasing complexity.
Original language | English |
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Title of host publication | Proceedings of the 16th Scandinavian Conference on Image Analysis |
Volume | 5575 |
Publisher | Springer |
Publication date | 2009 |
Pages | 513-519 |
ISBN (Print) | 978-3-642-02229-6 |
DOIs | |
Publication status | Published - 2009 |
Event | 16th Scandinavian Conference on Image Analysis (SCIA) - Oslo, Norway Duration: 15 Jun 2009 → 18 Jun 2009 http://www.scia2009.org/ |
Conference
Conference | 16th Scandinavian Conference on Image Analysis (SCIA) |
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Country/Territory | Norway |
City | Oslo |
Period | 15/06/2009 → 18/06/2009 |
Internet address |
Series | Lecture Notes in Computer Science |
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