3D curve evolution algorithm with tangential redistribution for a fully automatic finding of an ideal camera path in virtual colonoscopy

  • Authors:

  • Karol Mikula;Jozef Urb$#225/n

  • Affiliations:

  • Department of Mathematics and Descriptive Geometry, Slovak University of Technology, Bratislava, Slovakia;Department of Mathematics and Descriptive Geometry, Slovak University of Technology, Bratislava, Slovakia

  • Venue:
  • SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
  • Year:
  • 2011

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Abstract

In this paper we develop new method, based on 3D evolving curves, for finding the optimal trajectory of the camera in the virtual colonoscopy - the medical technology dealing with colon diagnoses by computer. The proposed method consists of three steps: 3D segmentation of the colon from CT images, finding an initial trajectory guess inside the segmented 3D subvolumes, and driving the initial 3D curve to its optimal position. To that goal, the new fast and stable 3D curve evolution algorithm is developed in which the initial curve is driven by the velocity field in the plane normal to the evolving curve, the evolution is regularized by curvature and accompanied by the suitable choice of tangential velocity. Thanks to the asymtotically uniform tangential redistribution of grid points, originally introduced in this paper for 3D evolving curves, and to the fast and stable semi-implicit scheme for solving our proposed intrinsic advection-diffusion PDE, we end up in fast and robust way with the smooth uniformly discretized 3D curve representing the ideal path of the camera in virtual colonoscopy.