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Contour trees and small seed sets for isosurface traversal
- M. V. Kreveld, R. V. Oostrum, C. Bajaj, Valerio Pascucci, D. Schikore
- Computer ScienceSCG '97
- 1 August 1997
This paper gives the first methods to obtain seed sets that are provably small in size based on a variant of the contour tree (or topographic change tree), and develops a simple approximation algorithm giving a seed set of size at most twice the size of the minimum once the contours tree is known.
The algebraic degree of geometric optimization problems
- C. Bajaj
- Mathematics, Computer ScienceDiscret. Comput. Geom.
- 1 June 1988
Galoois methods are applied to certain fundamental geometric optimization problems whose exact computational complexity has been an open problem for a long time and show that the classic Weber problem, along with the line-restricted Weber problem and itsthree-dimensional version are in general not solvable by radicals over the field of rationals.
Arbitrary Topology Shape Reconstruction from Planar Cross Sections
This paper approaches all three problems of reconstruction of the 3D object from the 2D scalar-valued slices obtained by the imaging system simultaneously by imposing a set of three constraints on the reconstructed surface and then deriving precise correspondence and tiling rules from these constraints.
Fast isocontouring for improved interactivity
An isocontouring algorithm which is near-optimal for real-time interaction and modification of isovalues in large datasets and a specialized algorithm suitable for meshes of regular topology, including rectilinear and curvilinear meshes is described.
3D Finite Element Meshing from Imaging Data.
The Transfer Function Bake-Off
A liquid fuel pumping apparatus for supplying fuel to an internal combustion engine includes a member which is movable against the action of a spring system by means of centrifugally operable…
Automatic particle selection: results of a comparative study.
High-resolution cryo-electron microscopy structure of the Trypanosoma brucei ribosome
The structure reveals the five cleavage sites of the kinetoplastid large ribosomal subunit (LSU) rRNA chain, and suggests that the cleavage is important for the maintenance of the T. brucei ribosome in the observed structure, and discusses several possible implications of the large rRNA expansion segments for the translation-regulation process.
The contour spectrum
- C. Bajaj, Valerio Pascucci, D. Schikore
- Computer Science, PhysicsProceedings. Visualization '97 (Cat. No…
- 1 October 1997
The authors introduce the contour spectrum, a user interface component that improves qualitative user interaction and provides real-time exact quantification in the visualization of isocontours. The…