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Energy Absorption Mechanisms in Minimal Surface Versus Truss-like Lattice Structures: Experimental and Numerical Insights. [PDF]
Materials (Basel)Huang Z, Liu Y, Liu J, Mu D.
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Trimming implicit surfaces [PDF]
Visual Computer, 2004 Algorithms for trimming implicit surfaces yielding surface sheets and stripes are presented. These two-dimensional manifolds with boundaries result from set-theoretic operations on an implicit surface and a solid or another implicit surface. The algorithms generate adaptive polygonal approximation of the trimmed surfaces by extending our original ...
Galina Pasko, Alexander Pasko
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Visualisation of implicit surfaces
Computers & Graphics, 2001 Abstract We discuss the polygonisation and rendering of implicit surfaces through the adaptive subdivision of octree nodes. Three new algorithms which form part of this process, are discussed. The first algorithm removes the cracks that form on the surfaces between adjacent nodes that are subdivided to different depths in the octree.
Balsys, Ronald J. +1 more
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Rendering the intersections of implicit surfaces
IEEE Computer Graphics and Applications, 2003 We present algorithms for rendering the intersection curves of implicit surfaces using octree-based recursive space subdivision techniques. Interval techniques used during the subdivision process increase the algorithms' robustness.
Suffern, K, Balsys, Ronald
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Adaptive polygonization of implicit surfaces
Computers and Graphics, 2005We present an algorithm for polygonizing closed implicit surfaces, which produces meshes adapted to the local curvature of the surface. Our method is similar to, but not based on, Marching Triangles, in that we start from a point on the surface and develop a mesh from that point using a surface-tracking approach. However, our approach works by managing
Joaquim Jorge
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Implicit Representations of Rough Surfaces
Computer Graphics Forum, 1997 Implicit surface techniques provide useful tools for modeling and rendering smooth surfaces. Deriving implicit formulations for fractal representations extends the scope of implicit surface techniques to rough surfaces. Linear fractals modeled by recurrent iterated function systems may be defined implicitly using either geometric distance or escape ...
Hart, John C.
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On the velocity of an implicit surface
ACM Transactions on Graphics, 2011In this article we derive an equation for the velocity of an arbitrary time-evolving implicit surface. Strictly speaking, only the normal component of the velocity is unambiguously defined. This is because an implicit surface does not have a unique parametrization.
Jos Stam, Ryan M. Schmidt
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Field functions for implicit surfaces
The Visual Computer, 1988A technique of building 3D models from an iso-surface in a scalar field is discussed. One of the characteristics of this method - referred as the soft object of implicit surface method - is that a few primitives blend to form a complex surface. The shape of these primitives is given by a field function.
Brian Wyvill, Geoff Wyvill
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