Introduction to algorithms
Virtual voyage: interactive navigation in the human colon
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Controlled simplification of genus for polygonal models
VIS '97 Proceedings of the 8th conference on Visualization '97
3D digital cleansing using segmentation rays
Proceedings of the conference on Visualization '00
Computing a canonical polygonal schema of an orientable triangulated surface
SCG '01 Proceedings of the seventeenth annual symposium on Computational geometry
Optimally cutting a surface into a disk
Proceedings of the eighteenth annual symposium on Computational geometry
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Least squares conformal maps for automatic texture atlas generation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Nonlinear virtual colon unfolding
Proceedings of the conference on Visualization '01
GRIN'01 No description on Graphics interface 2001
Sparse matrix solvers on the GPU: conjugate gradients and multigrid
ACM SIGGRAPH 2003 Papers
Global conformal surface parameterization
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Dual Contouring with Topology-Preserving Simplification Using Enhanced Cell Representation
VIS '04 Proceedings of the conference on Visualization '04
Greedy optimal homotopy and homology generators
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
A Pipeline for Computer Aided Polyp Detection
IEEE Transactions on Visualization and Computer Graphics
Digital eversion of a hollow structure: an application in virtual colonography
Journal of Biomedical Imaging
Colon Unfolding Via Skeletal Subspace Deformation
MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
Spherical parameterization of marching cubes IsoSurfaces based upon nearest neighbor coordinates
Journal of Computer Science and Technology
Recent Advances in Computational Conformal Geometry
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Surface Quasi-Conformal Mapping by Solving Beltrami Equations
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Generalized Koebe's method for conformal mapping multiply connected domains
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Parameterizing marching cubes isosurfaces with natural neighbor coordinates
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Accurate Automated Detection of Autism Related Corpus Callosum Abnormalities
Journal of Medical Systems
Conformal geometry based supine and prone colon registration
MICCAI'10 Proceedings of the Second international conference on Virtual Colonoscopy and Abdominal Imaging: computational challenges and clinical opportunities
Colon visualization using shape preserving flattening
MICCAI'10 Proceedings of the Second international conference on Virtual Colonoscopy and Abdominal Imaging: computational challenges and clinical opportunities
An improved method of automatic colon segmentation for virtual colon unfolding
Computer Methods and Programs in Biomedicine
Efficient topological cleaning for visual colon surface flattening
MICCAI'12 Proceedings of the 4th international conference on Abdominal Imaging: computational and clinical applications
Visual support for interactive post-interventional assessment of radiofrequency ablation therapy
EuroVis'10 Proceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization
Vessel visualization using curvicircular feature aggregation
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
Hi-index | 0.00 |
We present an efficient colon flattening algorithm using a conformal structure, which is angle-preserving and minimizes the global distortion. Moreover, our algorithm is general as it can handle high genus surfaces. First, the colon wall is segmented and extracted from the CT data set of the abdomen. The topology noise (i.e., minute handle) is located and removed automatically. The holomorphic 1-form, a pair of orthogonal vector fields, is then computed on the 3D colon surface mesh using the conjugate gradient method. The colon surface is cut along a vertical trajectory traced using the holomorphic 1-form. Consequently, the 3D colon surface is conformally mapped to a 2D rectangle. The flattened 2D mesh is then rendered using a direct volume rendering method accelerated with the GPU. Our algorithm is tested with a number of CT data sets of real pathological cases, and gives consistent results. We demonstrate that the shape of the polyps is well preserved on the flattened colon images, which provides an efficient way to enhance the navigation of a virtual colonoscopy system.