Contour trees and small seed sets for isosurface traversal
SCG '97 Proceedings of the thirteenth annual symposium on Computational geometry
Construction of contour trees in 3D in O(n log n) steps
Proceedings of the fourteenth annual symposium on Computational geometry
Efficient computation of the topology of level sets
Proceedings of the conference on Visualization '02
A Comparison of Algorithms for Connected Set Openings and Closings
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computing contour trees in all dimensions
Computational Geometry: Theory and Applications - Fourth CGC workshop on computional geometry
Topological manipulation of isosurfaces
Topological manipulation of isosurfaces
Hybrid techniques for real-time radar simulation
AFIPS '63 (Fall) Proceedings of the November 12-14, 1963, fall joint computer conference
Antiextensive connected operators for image and sequence processing
IEEE Transactions on Image Processing
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
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In analyzing the morphological information of objects in images, isosurfaces play important and application-independent roles. For continuous scalar field, Contour Trees have been used as a tool to select and visualize isosurfaces. However, the tree structure of contour trees is based on the critical points which does not exist in digital images. In this paper, we propose a tree structure of isosurfaces in digital images named Region-based Contour Tree. The proposed method describes a finite number of isosurfaces in digital images completely, without redundancy.