Left-Ventricle Basal Region Constrained Parametric Mapping to Unitary Domain

  • Antoni Gurgui
  • Debora Gil
  • Vicente Grau
  • Enric Marti
Conference paper

DOI: 10.1007/978-3-319-52718-5_18

Part of the Lecture Notes in Computer Science book series (LNCS, volume 10124)
Cite this paper as:
Gurgui A., Gil D., Grau V., Marti E. (2017) Left-Ventricle Basal Region Constrained Parametric Mapping to Unitary Domain. In: Mansi T., McLeod K., Pop M., Rhode K., Sermesant M., Young A. (eds) Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges. STACOM 2016. Lecture Notes in Computer Science, vol 10124. Springer, Cham

Abstract

Due to its complex geometry, the basal ring is often omitted when putting different heart geometries into correspondence. In this paper, we present the first results on a new mapping of the left ventricle basal rings onto a normalized coordinate system using a fold-over free approach to the solution to the Laplacian. To guarantee correspondences between different basal rings, we imposed some internal constrained positions at anatomical landmarks in the normalized coordinate system. To prevent internal fold-overs, constraints are handled by cutting the volume into regions defined by anatomical features and mapping each piece of the volume separately. Initial results presented in this paper indicate that our method is able to handle internal constrains without introducing fold-overs and thus guarantees one-to-one mappings between different basal ring geometries.

Keywords

Laplacian Constrained maps Parameterization Basal ring 

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Antoni Gurgui
    • 1
  • Debora Gil
    • 1
    • 2
  • Vicente Grau
    • 3
  • Enric Marti
    • 2
  1. 1.Computer Vision Center of CatalunyaUniversitat Autonoma de BarcelonaBarcelonaSpain
  2. 2.Computer Sciences DepartmentUniversitat Autonoma de BarcelonaBarcelonaSpain
  3. 3.Department of Engineering Science, Institute of Biomedical EngineeringUniversity of OxfordOxfordUK

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