Ho-Lun Cheng

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Figure 1: Molecular models of the molecule Helix. The leftmost shows the van der Waals surface model; the center shows the molecular skin model and the rightmost shows the magnified mesh details in the box of the center figure. ABSTRACT Quality surface meshes for molecular models are desirable in the studies of protein shapes and functionalities. However,(More)
We present an efficient algorithm to mesh the macromolecules surface model represented by the skin surface defined by Edelsbrunner. Our algorithm overcomes several challenges residing in current surface meshing methods. First, we guarantee the mesh quality with a provable lower bound of 21. on its minimum angle. Second, we ensure the triangulation is(More)
The construction of shape spaces is studied from a mathematical and a computational viewpoint. A program is outlined reducing the problem to four tasks: the representation of geometry, the canonical deformation of geometry, the measuring of distance in shape space, and the selection of base shapes. The technical part of this paper focuses on the second(More)
Free-space dilation is an effective approach for narrow passage sampling, a well-recognized difficulty in probabilistic roadmap (PRM) planning. Key to this approach are methods for dilating the free space and for determining the amount of dilation needed. This paper presents a new method of dilation by shrinking the geometric models of robots and obstacles.(More)
This paper presents a novel approach to modeling a generic cognitive framework in game agents to provide tactical behavior generation as well as strategic decision making in modern multi-agent computer games. The core of our framework consists of two characterization concepts we term as the tactical and strategic personalities, embedded in each game agent.(More)
Given two simplicial complexes C 1 and C 2 embedded in Eu-clidean space IR d , C 1 subdivides C 2 if (i) C 1 and C 2 have the same underlying space, and (ii) every simplex in C 1 is contained in a simplex in C 2. In this paper we present a method to compute a set of weighted points whose alpha complex subdivides a given simplicial complex. Following this,(More)
Edelsbrunner et al. defined a framework of shape deformations with shapes bounded by skin manifold. We prove that the infinitely many synthesized shapes in the deformation sequence share finitely many common Voronoi complexes. Therefore, we propose a new algorithm to compute the common Voronoi complexes efficiently for the deformations, and use these common(More)