Title
Context preserving maps of tubular structures.
Abstract
When visualizing tubular 3D structures, external representations are often used for guidance and display, and such views in 2D can often contain occlusions. Virtual dissection methods have been proposed where the entire 3D structure can be mapped to the 2D plane, though these will lose context by straightening curved sections. We present a new method of creating maps of 3D tubular structures that yield a succinct view while preserving the overall geometric structure. Given a dominant view plane for the structure, its curve skeleton is first projected to a 2D skeleton. This 2D skeleton is adjusted to account for distortions in length, modified to remove intersections, and optimized to preserve the shape of the original 3D skeleton. Based on this shaped 2D skeleton, a boundary for the map of the object is obtained based on a slicing path through the structure and the radius around the skeleton. The sliced structure is conformally mapped to a rectangle and then deformed via harmonic mapping to match the boundary placement. This flattened map preserves the general geometric context of a 3D object in a 2D display, and rendering of this flattened map can be accomplished using volumetric ray casting. We have evaluated our method on real datasets of human colon models.
Year
DOI
Venue
2011
10.1109/TVCG.2011.182
Visualization and Computer Graphics, IEEE Transactions
Keywords
Field
DocType
general geometric context,dominant view plane,context preserving maps,sliced structure,overall geometric structure,succinct view,tubular structure,boundary placement,tubular structures,curve skeleton,new method,virtual dissection method,data visualisation,geometry,three dimensional,conformal mapping,orthopaedics,shape analysis,navigation,conformal map,ray tracing,volume rendering
Computer vision,Volume rendering,Morphological skeleton,Ray tracing (graphics),Computer science,Rectangle,Ray casting,Conformal map,Artificial intelligence,Rendering (computer graphics),Geometry,Shape analysis (digital geometry)
Journal
Volume
Issue
ISSN
17
12
1941-0506
Citations 
PageRank 
References 
6
0.41
24
Authors
4
Name
Order
Citations
PageRank
Joseph Marino17011.35
Wei Zeng2844.97
Xianfeng Gu32997189.71
Arie Kaufman44154453.50