A parametric motion concatenation method using cubic Bézier interpolation

Author(s):  
Suthasinee Nopparit ◽  
Natapon Pantuwong ◽  
Masanori Sugimoto
Keyword(s):  
1990 ◽  
Vol 42 (7) ◽  
pp. 4015-4027 ◽  
Author(s):  
P. Gaspard ◽  
S. A. Rice ◽  
H. J. Mikeska ◽  
K. Nakamura

1959 ◽  
Vol 15 ◽  
pp. 201-217 ◽  
Author(s):  
Minoru Kurita

Guldin-Pappus’s theorem about the volume of a solid of rotation in the euclidean space has been generalized in two ways. G. Koenigs [1] and J. Hadamard [2] proved that the volume generated by a 1-parametric motion of a surface D bounded by a closed curve c is equal to where are quantities attached to D with respect to a rectangular coordinate system, while are quantities determined by our motion.


1993 ◽  
Vol 10 (3) ◽  
pp. 179-185 ◽  
Author(s):  
O Bock ◽  
G.M.T D'Eleuterio ◽  
J Lipitkas ◽  
J.J Grodski

Author(s):  
LLUIS BARCELÓ ◽  
XAVIER BINEFA

This paper presents a framework that creates background, foreground and a temporal summarization of the motions in a scene. The method is based on the Dominant Motion Assumption (DMA), where the background has a parametric motion and occupies the main part of the scene. Under this assumption, we present a robust optical flow based method to extract the moving parts of the scene using the clustering capabilities of mixtures of Gaussians. A general mosaicing method to summarize the background, the foreground and the trajectories of objects in the scene is also presented.


1950 ◽  
Vol 1 ◽  
pp. 19-23
Author(s):  
Minoru Kurita

On the euclidean plane one-parametric motion is in general a roulett motion, exceptions being a translation at each instant and a rotation with a fixed center; here we mean by a roulett motion a motion in which a certain curve rolls on another fixed curve without slipping. In this paper we extend this fact to the case of Klein spaces and investigate in detail especially the cases of the euclidean space and the projective space.


1998 ◽  
Vol 60 (1) ◽  
pp. 13-23 ◽  
Author(s):  
Yucel Altunbasak ◽  
P.Erhan Eren ◽  
A.Murat Tekalp

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