Power diagrams: properties, algorithms and applications
SIAM Journal on Computing
Pixel-planes 5: a heterogeneous multiprocessor graphics system using processor-enhanced memories
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Linear programming and convex hulls made easy
SCG '90 Proceedings of the sixth annual symposium on Computational geometry
An efficient approach to removing geometric degeneracies
SCG '92 Proceedings of the eighth annual symposium on Computational geometry
Three-dimensional alpha shapes
ACM Transactions on Graphics (TOG)
Weighted alpha shapes
Fast analytical computation of Richards's smooth molecular surface
VIS '93 Proceedings of the 4th conference on Visualization '93
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An interactive visualization of weighted three-dimensional &agr;-hulls is presented for static and dynamic spheres. The &agr;-hull is analytically computed and represented by a triangulated mesh. The entire surface is computed and displayed in real-time at interactive rates. The weighted three-dimensional &agr;-hulls are equivalent to smooth molecular surfaces of biochemistry. Biochemistry applications of interactive computation and display of &agr;-hulls or smooth molecular surfaces are outlined.