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» 3D Euler spirals for 3D curve completion
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COMPGEOM
2010
ACM
13 years 10 months ago
3D Euler spirals for 3D curve completion
Shape completion is an intriguing problem in geometry processing with applications in CAD and graphics. This paper defines a new type of 3D curves, which can be utilized for curv...
Gur Harary, Ayellet Tal
COMPGEOM
2010
ACM
13 years 10 months 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
SMA
2010
ACM
195views Solid Modeling» more  SMA 2010»
13 years 5 months ago
Piecewise 3D Euler spirals
3D Euler spirals are visually pleasing, due to their property of having their curvature and their torsion change linearly with arc-length. This paper presents a novel algorithm fo...
David Ben-Haim, Gur Harary, Ayellet Tal
PAMI
2002
103views more  PAMI 2002»
13 years 4 months ago
Digital Curves in 3D Space and a Linear-Time Length Estimation Algorithm
We consider simple digital curves in a 3D orthogonal grid as special polyhedrally bounded sets. These digital curves model digitized curves or arcs in three-dimensional euclidean ...
Thomas Bülow, Reinhard Klette
IWCIA
2004
Springer
13 years 10 months ago
Minimum-Length Polygon of a Simple Cube-Curve in 3D Space
We consider simple cube-curves in the orthogonal 3D grid of cells. The union of all cells contained in such a curve (also called the tube of this curve) is a polyhedrally bounded s...
Fajie Li, Reinhard Klette