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We develop a 4D (3D plus time) statistical shape model for implicit level set based shape representations. To this end, we represent hand segmented training sequences of the left ventricle by respective 4-dimensional embedding functions and approximate these by a principal component analysis. In contrast to recent 4D models on explicit shape… (More)

- Gregory M. Nielson, Ramamani Ramaraj
- Computer Aided Geometric Design
- 1987

- Thomas A. Foley, David A. Lane, Gregory M. Nielson, Ramamani Ramaraj
- IEEE Computer Graphics and Applications
- 1990

Techniques for the visualization of a scalar-valued function defined over a spherical domain are discussed. Functions of this type arise, for example, in the fitting of measured data on the surface of the earth. Methods for contouring and for displaying the graph of a function are presented, along with several examples. The projected graph technique can… (More)

- Ramamani Ramaraj
- 2004

A computer program in Pascal is developed for computing the matching polynomials of graphs and lattices. This program is based on the recursive relation for matching polynomials outlined by Hosoya [Bull. others. The graph whose matching polynomial is of interest is reduced recursively until the graph reduces to several trees. The characteristic polynomial… (More)

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