Geometric Hermite Interpolation for Space Curves by B-Spline

2005 ◽  
Vol 16 (4) ◽  
pp. 634
Author(s):  
Chun-Gang ZHU
Keyword(s):  
Hermite Interpolation ◽  
B Spline ◽  
Space Curves ◽  
Geometric Hermite Interpolation

Geometric Hermite interpolation for space curves

2001 ◽  
Vol 18 (9) ◽  
pp. 817-829 ◽  
Author(s):  
Lianghong Xu ◽  
Jianhong Shi
Keyword(s):  
Hermite Interpolation ◽  
Space Curves ◽  
Geometric Hermite Interpolation

Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics

2005 ◽  
Vol 22 (4) ◽  
pp. 325-352 ◽  
Author(s):  
Francesca Pelosi ◽  
Rida T. Farouki ◽  
Carla Manni ◽  
Alessandra Sestini
Keyword(s):  
Hermite Interpolation ◽  
Pythagorean Hodograph ◽  
Geometric Hermite Interpolation

scholarly journals High accuracy geometric Hermite interpolation

1987 ◽  
Vol 4 (4) ◽  
pp. 269-278 ◽  
Author(s):  
Carl de Boor ◽  
Klaus Höllig ◽  
Malcolm Sabin
Keyword(s):  
Hermite Interpolation ◽  
High Accuracy ◽  
Geometric Hermite Interpolation

Hermite interpolation of space curves using the symmetric algebra

2005 ◽  
Vol 22 (4) ◽  
pp. 299-319 ◽  
Author(s):  
Achan Lin ◽  
Marshall Walker
Keyword(s):  
Hermite Interpolation ◽  
Symmetric Algebra ◽  
Space Curves

B-SPLINE BASED STEREO FOR 3D RECONSTRUCTION OF LINE-LIKE OBJECTS USING AFFINE CAMERA MODEL

2001 ◽  
Vol 15 (02) ◽  
pp. 347-358 ◽  
Author(s):  
YIJUN XIAO ◽  
MINGYUE DING ◽  
JIAXIONG PENG
Keyword(s):  
Stereo Vision ◽  
Free Form ◽  
Control Points ◽  
Invariant Property ◽  
Affine Invariant ◽  
Camera Model ◽  
B Spline ◽  
Space Curves ◽  
Spline Curves ◽  
Affine Camera

This paper presents a novel curve based algorithm of stereo vision to reconstruct 3D line-like objects. B-spline approximations of 2D edge curves are selected as primitives for the reconstruction of their corresponding space curves so that, under the assumption of affine camera model, a 3D curve can be derived from reconstructing its control points according to the affine invariant property of B-Spline curves. The superiority of B-spline model in representing free-form curves gives good geometric properties of reconstruction results. Both theoretical analysis and experimental results demonstrate the validity of our approach.

Geometric Hermite interpolation

1995 ◽  
Vol 12 (6) ◽  
pp. 567-580 ◽  
Author(s):  
K. Höllig ◽  
J. Koch
Keyword(s):  
Hermite Interpolation ◽  
Geometric Hermite Interpolation
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