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

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

scholarly journals $C^2$ Hermite interpolation by Pythagorean Hodograph space curves

2007 ◽  
Vol 76 (259) ◽  
pp. 1373-1392 ◽  
Author(s):  
Zbyněk Šír ◽  
Bert Jüttler
Keyword(s):  
Hermite Interpolation ◽  
Space Curves ◽  
Pythagorean Hodograph

Particle and Astro-physics Challenge Kant’s Phenomenolism

1998 ◽  
pp. 323-333
Author(s):  
Lawrence H. Starkey
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Physical Basis ◽  
Primary Sources ◽  
One Dimension ◽  
Space Curves ◽  
Slowing Down ◽  
Parity Conservation ◽  
Charge Parity ◽  
Einstein’S General Relativity

For two centuries Kant's first Critique has nourished various turns against transcendent metaphysics and realism. Kant was scandalized by reason's impotence in confronting infinity (or finitude) as seen in the divisibility of particles and in spatial extension and time. Therefore, he had to regard the latter as subjective and reality as imponderable. In what follows, I review various efforts to rationalize Kant's antinomies-efforts that could only flounder before the rise of Einstein's general relativity and Hawking's blackhole cosmology. Both have undercut the entire Kantian tradition by spawning highly probable theories for suppressing infinities and actually resolving these perplexities on a purely physical basis by positing curvatures of space and even of time that make them reëntrant to themselves. Heavily documented from primary sources in physics, this paper displays time’s curvature as its slowing down near very massive bodies and even freezing in a black hole from which it can reëmerge on the far side, where a new universe can open up. I argue that space curves into a double Möbius strip until it loses one dimension in exchange for another in the twin universe. It shows how 10-dimensional GUTs and the triple Universe, time/charge/parity conservation, and strange and bottom particle families and antiparticle universes, all fit together.

On the Hermite interpolation

2007 ◽  
Vol 50 (11) ◽  
pp. 1651-1660 ◽  
Author(s):  
Xing-hua Wang
Keyword(s):  
Hermite Interpolation

Algorithm 211: Hermite interpolation

1963 ◽  
Vol 6 (10) ◽  
pp. 617 ◽  
Author(s):  
George R. Schubert
Keyword(s):  
Hermite Interpolation
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