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Interactive RePolygonization of Blobby Implicit Curves
"... An interactive modeling system for implicit curves is presented. Unlike other interactive algorithms, ours displays connected polygonal approximations instead of several unconnected points. We also guarantee that the topology of our polygonal approximation matches the topology of the true curve. The ..."
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. The system currently handles only 2D blobby curves, but will be extended to include general 3D implicit surfaces.
Modelling with Implicit Surfaces that Interpolate
 ACM Transactions on Graphics
, 2002
"... We introduce new techniques for modelling with interpolating implicit surfaces. This form of implicit surface was first used for problems of surface reconstruction [24] and shape transformation [30], but the emphasis of our work is on model creation. These implicit surfaces are described by specify ..."
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Cited by 126 (1 self)
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the direct specification of both the location of points on the surface and the surface normals. These are two important manipulation techniques that are difficult to achieve using other implicit surface representations such as sums of spherical or ellipsoidal Gaussian functions ("blobbies"). We
Methodology and Techniques
"... In this paper we derive an equation for the velocity of an arbitrary timeevolving 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. However, by enforcing a constraint on ..."
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on the evolution of the normal field we obtain a unique tangential component. We apply our formulas to surface tracking and to the problem of computing velocity vectors of a motion blurred blobby surface. Other possible applications are mentioned at the end of the paper.
Modeling the Mighty Maple
"... A method is presented for representing botanical trees, given threedimensional points and connections. Limbs are modeled as generalized cylinders whose axes are space curves that interpolate the points. A freeform surface connects branching limbs. "Blobby" techniques are used to model th ..."
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Cited by 114 (1 self)
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A method is presented for representing botanical trees, given threedimensional points and connections. Limbs are modeled as generalized cylinders whose axes are space curves that interpolate the points. A freeform surface connects branching limbs. "Blobby" techniques are used to model
Variational Implicit Surfaces
, 1999
"... We introduce a new method of creating smooth implicit surfaces of arbitrary manifold topology. These surfaces are described by specifying locations in 3D through which the surface should pass, and also identifying locations that are interior or exterior to the surface. A 3D implicit function is crea ..."
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Cited by 62 (2 self)
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other implicit surface representations such as sums of spherical or ellipsoidal Gaussian functions ("blobbies"). We show that these properties make variational implicit surfaces particularly attractive for interactive sculpting using the particle sampling technique introduced by Witkin
Implicit surfaces that interpolate
 Proceedings of the 7th International Conference on Shape Modeling and Applications
, 2001
"... Implicit surfaces are often created by summing a collection of radial basis functions. Recently, researchers have begun to create implicit surfaces that exactly interpolate a given set of points by solving a simple linear system to assign weights to each basis function. Due to their ability to inter ..."
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Cited by 32 (0 self)
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to interpolate, these implicit surfaces are more easily controllable than traditional “blobby ” implicits. There are several additional forms of control over these surfaces that make them attractive for a variety of applications. Surface normals may be directly specified at any location over the surface
Dynamic Maintenance and Visualization of Molecular Surfaces
 Discrete Applied Mathematics
, 1998
"... A method of modeling and animating objects that has gained much popularity recently is the use of molecular surfaces. A great deal of past work has included the combination of efficient data structures and standard graphic libraries so that static and Clsmoothed molecular surfaces may be represente ..."
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Cited by 32 (5 self)
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representations features the use of metaballs, molecular surfaces and blobby models. In this paper we extend this work by describing algorithms that dynamically update and render exact smoothed representations for moving or growing the molecular surfaces. These surfaces may be represented as trimmed NURBS (non
Skin: A Constructive Approach to Modeling Freeform Shapes
 Proceedings of SIGGRAPH 99
, 1999
"... We present a new particlebased surface representation with which a user can interactively sculpt freeform surfaces. The particles maintain mesh connectivity and operate under rules that lead them to form triangulations with properties that make them suitable for use in subdivision. A user interact ..."
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Cited by 68 (6 self)
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interactively guides the particles, which we call skin, to grow over a given collection of polyhedral elements (or skeletons), yielding a smooth surface (through subdivision) that approximates the underlying skeletal shapes. Skin resembles blobby modeling in the constructive approach to modeling it supports
Blobtacular: Surfacing particle Systems
 in “Pirates of the Caribbean 3”, ACM SIGGRAPH Sketches & Applications
, 2007
"... Figure 1: Left: Blobtacular is used to generate water dripping off a pirate ship. Right: A large teapot is sprayed with blended microteapots. We have developed a tool for efficient and flexible surfacing of particle systems using various optimized level set techniques and data structures. Smoothed ..."
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Cited by 6 (4 self)
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to surfacing particle systems uses CSG blending of spherical metaballs sampled on a dense, regular 3D grid. This severely limits the quality of the resulting surfaces due to resolution and computational overheads in both time and memory. Consequently SPH surfaces often have a characteristic “blobby look
Creating Smooth Implicit Surfaces from Polygonal Meshes
, 1999
"... Implicit surfaces have long been used for a myriad of tasks in computer graphics, including modeling soft or organic objects, morphing, and constructive solid geometry. Although operating on implicit surfaces is usually straightforward, creating them is not  interactive techniques are impractica ..."
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Cited by 22 (1 self)
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are impractical for complex models, and automatic techniques have been largely unexplored. We introduce a practical method for creating implicit surfaces from polygonal models that produces highquality results for complex models. Whereas much previous work has been done with primitives such as "blobbies
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