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Collision-free construction of animated feathers using implicit constraint surfaces
Andrew J. Weber, Galen Gornowicz
Article No.: 12
We present a scheme for constructing complex feather geometry suitable for feature animation. The key points of our approach include the use of a potential field derived from guide geometry and an implicit constraint surface to create...
2D piecewise algebraic splines for implicit modeling
Qingde Li, Jie Tian
Article No.: 13
2D splines are a powerful tool for shape modeling, either parametrically or implicitly. However, compared with regular grid-based tensor-product splines, most of the high-dimensional spline techniques based on nonregular 2D polygons, such as box...
Affine double- and triple-product wavelet integrals for rendering
Bo Sun, Ravi Ramamoorthi
Article No.: 14
Many problems in computer graphics involve integrations of products of functions. Double- and triple-product integrals are commonly used in applications such as all-frequency relighting or importance sampling, but are limited to distant...
Efficient reconstruction of nonrigid shape and motion from real-time 3D scanner data
Michael Wand, Bart Adams, Maksim Ovsjanikov, Alexander Berner, Martin Bokeloh, Philipp Jenke, Leonidas Guibas, Hans-Peter Seidel, Andreas Schilling
Article No.: 15
We present a new technique for reconstructing a single shape and its nonrigid motion from 3D scanning data. Our algorithm takes a set of time-varying unstructured sample points that capture partial views of a deforming object as input and...
Lie group integrators for animation and control of vehicles
Marin Kobilarov, Keenan Crane, Mathieu Desbrun
Article No.: 16
This article is concerned with the animation and control of vehicles with complex dynamics such as helicopters, boats, and cars. Motivated by recent developments in discrete geometric mechanics, we develop a general framework for integrating the...
A BSP-based algorithm for dimensionally nonhomogeneous planar implicit curves with topological guarantees
Abel J. P. Gomes, José F. M. Morgado, Edgar S. Pereira
Article No.: 17
Mathematical systems (e.g., Mathematica, Maple, Matlab, and DPGraph) easily plot planar algebraic curves implicitly defined by polynomial functions. However, these systems, and most algorithms found in the literature, cannot draw many implicit...
Optical systems used in photography and cinema produce depth-of-field effects, that is, variations of focus with depth. These effects are simulated in image synthesis by integrating incoming radiance at each pixel over the lense aperture....
Graphics processing units supporting tessellation of curved surfaces with displacement mapping exist today. Still, to our knowledge, culling only occurs after tessellation, that is, after the base primitives have been tessellated into...
Interpolatory point set surfaces—convexity and Hermite data
Marc Alexa, Anders Adamson
Article No.: 20
Point set surfaces define a (typically) manifold surface from a set of scattered points. The definition involves weighted centroids and a gradient field. The data points are interpolated if singular weight functions are used to define the...