Biharmonic volumetric mapping using fundamental solutions. Academic Article

abstract

• We propose a biharmonic model for cross-object volumetric mapping. This new computational model aims to facilitate the mapping of solid models with complicated geometry or heterogeneous inner structures. In order to solve cross-shape mapping between such models through divide and conquer, solid models can be decomposed into subparts upon which mappings is computed individually. The biharmonic volumetric mapping can be performed in each subregion separately. Unlike the widely used harmonic mapping which only allows C0 continuity along the segmentation boundary interfaces, this biharmonic model can provide C1 smoothness. We demonstrate the efficacy of our mapping framework on various geometric models with complex geometry (which are decomposed into subparts with simpler and solvable geometry) or heterogeneous interior structures (whose different material layers can be segmented and processed separately).

authors

• Li, Xin

published proceedings

• IEEE Trans Vis Comput Graph

author list (cited authors)

• Xu, H., Yu, W., Gu, S., & Li, X.

citation count

• 26

complete list of authors

• Xu, Huanhuan||Yu, Wuyi||Gu, Shiyuan||Li, Xin

publication date

• May 2013

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Visualization and Computer Graphics  Journal

keywords

• Algorithms
• Computer Graphics
• Image Enhancement
• Image Interpretation, Computer-Assisted
• Imaging, Three-Dimensional
• Reproducibility Of Results
• Sensitivity And Specificity

Digital Object Identifier (DOI)

• 10.1109/TVCG.2012.173

start page

• 787

end page

• 798

volume

• 19

issue

• 5

URL

• http://dx.doi.org/10.1109/tvcg.2012.173