Tangent balancing

Details Tangent balancing Tangent balancing

2007-03-27

2007-03-27

Yang, Ryan (Department: 2628)

Computer graphics processing and selective visual display system

Computer graphics processing

Shape generating

Reexamination Certificate

active

10938715

ABSTRACT:
When a Bézier spline is fitted to a plurality of points the two tangent handles at each control point can be very different in length. A method of fitting a second spline to the first spline that has tangent handles of equal length at each control point is provided. A point is found on the first spline that is close to the midpoint between the two control points defining the tangent handles. This point is a new control point on the second spline. Tangent handles to the new control point are then found such that they have a slope equal to the tangent to the first spline at the new control point, the sum of their lengths is equal to the sum of the original two tangent handles and their lengths are equal to each other. A second spline found in this way closely approximates the first spline. The lengths of the tangent handles may be adjusted to provide a better fit.

REFERENCES:
patent: 5253336 (1993-10-01), Yamada
patent: 5309521 (1994-05-01), Matsukawa
patent: 5363479 (1994-11-01), Olynyk
patent: 5500927 (1996-03-01), Sander-Cederlof et al.
patent: 5566288 (1996-10-01), Koerhsen
patent: 5598182 (1997-01-01), Berend et al.
patent: 5611036 (1997-03-01), Berend et al.
patent: 5818459 (1998-10-01), Kurumida
patent: 6111588 (2000-08-01), Newell
patent: 6154221 (2000-11-01), Gangnet
patent: 6204861 (2001-03-01), Chen
patent: 6268871 (2001-07-01), Rice et al.
patent: 6441823 (2002-08-01), Ananya
patent: 6587747 (2003-07-01), Hirai et al.
patent: 6654016 (2003-11-01), Hobbs
patent: 6728392 (2004-04-01), Joshi
patent: 6774905 (2004-08-01), Elfving et al.
patent: 6782306 (2004-08-01), Yutkowitz
patent: 6856312 (2005-02-01), Imai et al.
patent: 6911980 (2005-06-01), Newell et al.
patent: 6919888 (2005-07-01), Perani et al.
patent: 6985639 (2006-01-01), Alwar et al.
patent: 2001/0033281 (2001-10-01), Yoshida et al.
“Error Bounded regular algebraic spline curves”, Bajaj et al, Jun. 1999, SCG'99, ACM 1999, pp. 332-340.
“A Bezier curve builder implemented in APL2”, Tollet et al, Jul. 1992, APL Quote Quad, ACM 1992, pp. 256-264.

Affiliated with

Also associated with

Rating

Tangent balancing does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Tangent balancing, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tangent balancing will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFUS-PAI-O-3742654