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» Discrete scale axis representations for 3D geometry
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COMPGEOM
2010
ACM
14 years 16 days ago
Visualizing 3D Euler spirals
This video describes a new type of 3D curves, which generalizes the family of 2D Euler spirals. They are defined as the curves having both their curvature and their torsion evolv...
Gur Harary, Ayellet Tal
ICCV
2007
IEEE
14 years 1 months ago
Scale-Dependent 3D Geometric Features
Three-dimensional geometric data play fundamental roles in many computer vision applications. However, their scale-dependent nature, i.e. the relative variation in the spatial ext...
John Novatnack, Ko Nishino
DGCI
2005
Springer
14 years 1 months ago
Arbitrary 3D Resolution Discrete Ray Tracing of Implicit Surfaces
A new approach to ray tracing implicit surfaces based on recursive space subdivision is presented in this paper. Interval arithmetic, already used to calculate intersections in ray...
Nilo Stolte
SIBGRAPI
2009
IEEE
14 years 2 months ago
Scale-Space for Union of 3D Balls
Shape discretization through union of weighted points or balls appears as a common representation in different fields of computer graphics and geometric modeling. Among others, it...
Alex Laier Bordignon, Betina Vath, Thales Vieira, ...
CAD
2004
Springer
13 years 7 months ago
Linear one-sided stability of MAT for weakly injective 3D domain
Despite its usefulness in many applications, the medial axis transform (MAT) is very sensitive to the change of the boundary in the sense that, even if a shape is perturbed only s...
Sung Woo Choi, Hans-Peter Seidel