Gerd Reis

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We present a new algorithm extracting and fairing surfaces from segmented volumes composed of multiple materials. In a first pass, the material boundaries in the volume are smoothed considering signed distance functions for the individual materials. Second, we apply a marching-cubes-like contouring method providing initial meshes defining material(More)
We present a novel GPU-based algorithm for high-quality rendering of bivariate spline surfaces. An essential difference to the known methods for rendering graph surfaces is that we use quartic smooth splines on triangulations rather than triangular meshes. Our rendering approach is direct in the sense that since we do not use an intermediate tessellation(More)
We present a volume modelling approach based on sequences of two-dimensional ultrasound images. Though generally applicable to arbitrary freehand ultrasound, our method is designed for the reconstruction of timevarying volumes from ultrasound images of a human heart. Since the reliability of the reconstructed data depends very much on the spatial density of(More)
We present an adaptive quasi-interpolating quartic spline construction for regularly sampled surface data. The method is based on a uniform quasi-interpolating scheme, employing quartic triangular patches with C 1-continuity and optimal approximation order within this class. Our contribution is the adaption of this scheme to surfaces of varying geometric(More)
Zusammenfassung. Wir präsentieren einen Methode zur Rekonstruk-tion vierdimensionaler Datensätze basierend auf einer Sequenz zweidi-mensionaler Ultraschallbilder. Da die Verlässlichkeit der rekonstruierten Daten stark von der räumlichen Verteilung der Ultraschallbilder abhängt, verwenden wir einen Octree-basierten hierarchischen Ansatz. Die Ge-nauigkeit(More)