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» On the parameterization of Catmull-Rom curves
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SMA
2009
ACM
208views Solid Modeling» more  SMA 2009»
14 years 5 months ago
On the parameterization of Catmull-Rom curves
The behavior of Catmull-Rom curves heavily depends on the choice of parameter values at the control points. We analyze a class of parameterizations ranging from uniform to chordal...
Cem Yuksel, Scott Schaefer, John Keyser
CAD
2011
Springer
13 years 2 months ago
Parameterization and applications of Catmull-Rom curves
The behavior of Catmull-Rom curves heavily depends on the choice of parameter values at the control points. We analyze a class of parameterizations ranging from uniform to chordal...
Cem Yuksel, Scott Schaefer, John Keyser
PAIRING
2010
Springer
147views Cryptology» more  PAIRING 2010»
13 years 9 months ago
Generating More Kawazoe-Takahashi Genus 2 Pairing-Friendly Hyperelliptic Curves
Constructing pairing-friendly hyperelliptic curves with small ρ-values is one of challenges for practicability of pairing-friendly hyperelliptic curves. In this paper, we describe...
Ezekiel J. Kachisa
CVGIP
2002
174views more  CVGIP 2002»
13 years 10 months ago
Computing quadric surface intersections based on an analysis of plane cubic curves
Computing the intersection curve of two quadrics is a fundamental problem in computer graphics and solid modeling. We present an algebraic method for classifying and parameterizin...
Wenping Wang, Barry Joe, Ronald N. Goldman
SMI
2010
IEEE
152views Image Analysis» more  SMI 2010»
13 years 9 months ago
Direct-Product Volumetric Parameterization of Handlebodies via Harmonic Fields
—Volumetric parameterization plays an important role for geometric modeling. Due to the complicated topological nature of volumes, it is much more challenging than the surface ca...
Jiazhi Xia, Ying He 0001, Xiaotian Yin, Shuchu Han...