Virtual voyage: interactive navigation in the human colon
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Constrained Elastic Surface Nets: Generating Smooth Surfaces from Binary Segmented Data
MICCAI '98 Proceedings of the First International Conference on Medical Image Computing and Computer-Assisted Intervention
Global conformal surface parameterization
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
An Experimental Comparison of Min-Cut/Max-Flow Algorithms for Energy Minimization in Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
3D Non-rigid Surface Matching and Registration Based on Holomorphic Differentials
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part III
Combining mesh, volume, and streamline representations for polyp detection in CT colonography
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
Ricci Flow for 3D Shape Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
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In virtual colonoscopy, CT scans are typically acquired with the patient in both supine and prone positions. The registration of these two scans is desirable so that the physician can clarify situations or confirm polyp findings at a location in one scan with the same location in the other, thereby improving polyp detection rates and reducing false positives. However, this supine-prone registration is challenging because of the substantial distortions in the colon shape due to the patient's position shifting. We present an efficient algorithm and framework for performing this registration through the use of conformal geometry to guarantee the registration is a diffeomorphism. The colon surface is conformally flattened to a rectangle using holomorphic differentials. The flattened domains of supine and prone are aligned by the harmonic map with feature correspondence constraints. We demonstrate the efficiency and efficacy of our method by measuring the distance between features on the registered colons.