2007

P.-T. Bremer, V. Pascucci.
**“A Practical Approach to Two-Dimensional Scalar Topology,”** In *Mathematics and Visualization*, Springer Verlag, pp. 151--169. 2007.

ISBN: Online ISBN 978-3-540-70823-0 Series Title Mathematics and Visualization Series ISSN 1

DOI: 10.1007/978-3-540-70823-0_11

Computing and analyzing the topology of scalar fields has proven to be a powerful tool in a wide variety of applications. In recent years the field has evolved from computing contour trees of two-dimensional functions to Reeb graphs of general two-manifolds, analyzing the topology of time-dependent volumes, and finally to creating Morse-Smale complexes of two and three dimensional functions. However, apart from theoretical advances practical applications depend on the development of robust and easy to implement algorithms. The progression from initial to practical algorithms is evident, for example, in the contour tree computation where the latest algorithms consist of no more than a couple of dozens lines of pseudo-code. In this paper we describe a similarly simple approach to compute progressive Morse-Smale complexes of functions over two-manifolds. We discuss compact and transparent data-structures used to compute and store Morse-Smale complexes and demonstrate how they can be used to implement interactive topology based simplification. In particular, we show how special cases arising, for example, from manifolds with boundaries or highly quantized functions are handled effectively. Overall the new algorithm is easier to implement and more efficient both run-time and storage wise than previous approaches by avoiding to refine a given triangulation.

S.P. Callahan, L. Bavoil, V. Pascucci, C.T. Silva.
**“Progressive Volume Rendering of Large Unstructured Grids,”** In *IEEE Transactions on Visualization and Computer Graphics*, Vol. 13, No. 1, pp. 1307-1314. 2007.

A. Gyulassy, V. Natarajan, B. Hamann, V. Pascucci.
**“Efficient Computation of Morse-Smale Complexes for Three-dimensional Scalar Functions,”** In *IEEE Transactions on Visualization and Computer Graphics*, Note: *(presented at IEEE VIS 2007)*, 2007.

A. Gyulassy, V. Natarajan, B. Hamann, M. Duchaineau, V. Pascucci, E. Bringa, A. Higginbotham.
**“Topologically Clean Distance Fields,”** In *IEEE Transactions on Visualization and Computer Graphics*, Note: *(presented at IEEE VIS 2007)*, 2007.

D. Laney, P.-T. Bremer, A. Mascarenhas, P. Miller, V. Pascucci.
**“Understanding the Structure of the Turbulent Mixing Layer in Hydrodynamic Instabilities,”** In *IEEE Transactions on Visualization and Computer Graphics*, Vol. 13, No. 1, pp. 1053--1060. January, 2007.

V. Pascucci, G. Scorzelli, P.-T. Bremer, A. Mascarenhas.
**“Robust On-line Computation of Reeb Graphs: Simplicity and Speed,”** In *ACM Transactions on Graphics: ACM SIGGRAPH 2007 Papers*, ACM Press, New York, NY, USA pp. 1057--1066. 2007.

H.T. Vo, S.P. Callahan, P. Lindstrom, V. Pascucci, C.T. Silva.
**“Streaming Simplification of Tetrahedral Meshes,”** In *IEEE Transactions on Visualization and Computer Graphics*, Vol. 13, No. 1, pp. 145--155. Jan/Feb, 2007.

G.H. Weber, P.-T. Bremer, V. Pascucci.
**“Topological Landscapes: A Terrain Metaphor for Scientific Data,”** In *IEEE Transactions on Visualization and Computer Graphics*, Note: *(presented at IEEE VIS 2007)*, 2007.

G.H. Weber, S.E. Dillard, H. Carr, V. Pascucci, B. Hamann.
**“Topology-controlled volume rendering,”** In *IEEE Transactions on Visualization and Computer Graphics*, Vol. 13, No. 2, pp. 330--341. January, 2007.

2006

**“Advances in Visual Computing, Second International Symposium, ISVC 2006, Lake Tahoe, NV, USA, November 6-8, 2006 Proceedings, Part I,”** In *ISVC (1)*, Lecture Notes in Computer Science, Vol. 4291, Edited by George Bebis and Richard Boyle and Bahram Parvin and Darko Koracin and Paolo Remagnino and Ara V. Nefian and Meenakshisundaram Gopi and Valerio Pascucci and Jiri Zara and Jose Molineros and Holger Theisel and Thomas Malzbender, Springer, 2006.

ISBN: 3-540-48628-3

W. Bethel, C.R. Johnson, C.D. Hansen, S.G. Parker, A.R. Sanderson, C.T. Silva, X. Tricoche, V. Pascucci, H. Childs, J. Cohen, M. Duchaineau, D. Laney, P. Lindstrom, S. Ahern, J. Meredith, G. Ostrouchov, K. Joy, B. Hamann.
**“VACET: Proposed SciDAC2 Visualization and Analytics Center for Enabling Technologies,”** In *J. Phys.: Conf. Ser.*, Vol. 46, pp. 561--569. 2006.

P.-T. Bremer, W. Cabot, A. Cook, D. Laney, A. Mascarenhas, P. Miller, V. Pascucci.
**“Understanding the Structure of the Turbulent Mixing Layer in Hydrodynamic Instabilities,”** In *Proceedings of SciDAC 2006 -- Scientific Discovery Through Advanced Computing*, Denver, CO, USA, Vol. 46, Journal of Physics Conference Series, pp. 556--560. June, 2006.

S.P. Callahan, L. Bavoil, V. Pascucci, C.T. Silva.
**“Progressive Volume Rendering of Large Unstructured Grids,”** SCI Institute Technical Report, No. UUSCI-2006-019, *University of Utah*, 2006.

S.P. Callahan, L. Bavoil, V. Pascucci, C.T. Silva.
**“Progressive Volume Rendering of Large Unstructured Grids,”** In *IEEE Transactions on Visualization and Computer Graphics*, Vol. 12, No. 5, Note: *Updated version of UUSCI-2006-019.*, pp. 1307--1314. 2006.

DOI: 10.1109/TVCG.2006.171

S.E. Dillard, V. Natarajan, G.H. Weber, V. Pascucci, B. Hamann.
**“Tessellation of Quadratic Elements,”** In *ISAAC*, pp. 722--731. 2006.

S. Dong, P.-T. Bremer, M. Garland, V. Pascucci, J.C. Hart.
**“Spectral Surface Quadrangulation,”** In *ACM Transactions on graphics: ACM SIGGRAPH 2006 Papers*, Boston, Massachusetts, ACM Press, New York, NY, USA pp. 1057--1066. 2006.

ISBN: 1-59593-364-6

H. Edelsbrunner, D. Morozov, V. Pascucci.
**“Persistence-based Simplification of Real-Valued Functions on 2-Manifolds,”** In *Proceedings of the 22nd International Annual Symposium on Computational Geometry*, Note: *To appear*, pp. 212--220. 2006.

A. Gyulassy, V. Natarajan, V. Pascucci, P.-T. Bremer, B. Hamann.
**“A Topological Approach to Simplification of Three-Dimensional Scalar Functions,”** In *IEEE Transactions on Visualization and Computer Graphics*, Vol. 12, No. 4, pp. 474--484. August, 2006.

P. Miller, P.-T. Bremer, W. Cabot, A. Cook, D. Laney, A. Mascarenhas, V. Pascucci.
**“Application of Morse Theory to Analysis of Rayleigh-Taylor Topology,”** In *10th International Workshop on the Physics of Compressible Turbulent Mixing*, 2006.

V. Natarajan, Y. Wang, P.-T. Bremer, V. Pascucci, B. Hamann.
**“Segmenting Molecular Surfaces,”** In *Computer Aided Geometric Design*, Special Issue on Applications of Geometric Modeling in the Life Sciences, Vol. 23, No. 6, Note: *(To appear)*, pp. 495--509. 2006.