A polygonal approximation to direct scalar volume rendering
VVS '90 Proceedings of the 1990 workshop on Volume visualization
Virtual voyage: interactive navigation in the human colon
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Hardware-accelerated volume and isosurface rendering based on cell-projection
Proceedings of the conference on Visualization '00
Nonlinear virtual colon unfolding
Proceedings of the conference on Visualization '01
Discrete multiscale vector field decomposition
ACM SIGGRAPH 2003 Papers
Global conformal surface parameterization
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Conformal virtual colon flattening
Proceedings of the 2006 ACM symposium on Solid and physical modeling
A Pipeline for Computer Aided Polyp Detection
IEEE Transactions on Visualization and Computer Graphics
Design of tangent vector fields
ACM SIGGRAPH 2007 papers
Designing quadrangulations with discrete harmonic forms
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Discrete one-forms on meshes and applications to 3D mesh parameterization
Computer Aided Geometric Design
Supine and Prone Colon Registration Using Quasi-Conformal Mapping
IEEE Transactions on Visualization and Computer Graphics
SMI 2012: Full As-conformal-as-possible discrete volumetric mapping
Computers and Graphics
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Volumetric colon wall unfolding is a novel method for virtual colon analysis and visualization with valuable applications in virtual colonoscopy (VC) and computer-aided detection (CAD) systems. A volumetrically unfolded colon enables doctors to visualize the entire colon structure without occlusions due to haustral folds, and is critical for performing efficient and accurate texture analysis on the volumetric colon wall. Though conventional colon surface flattening has been employed for these uses, volumetric colon unfolding offers the advantages of providing the needed quantities of information with needed accuracy. This work presents an efficient and effective volumetric colon unfolding method based on harmonic differentials. The colon volumes are reconstructed from CT images and are represented as tetrahedral meshes. Three harmonic 1-forms, which are linearly independent everywhere, are computed on the tetrahedral mesh. Through integration of the harmonic 1-forms, the colon volume is mapped periodically to a canonical cuboid. The method presented is automatic, simple, and practical. Experimental results are reported to show the performance of the algorithm on real medical datasets. Though applied here specifically to the colon, the method is general and can be generalized for other volumes.