Table 4 Algorithm comparison analysis.

From: Research on vehicle trajectory planning algorithm integrating spatiotemporal constraints and adaptive curvature

Algorithm name

Quintic polynomial

Cubic B-spline curve

Cubic Bezier curve

Ours

Fifth-order Bézier curve

Compare with cubic bezier curve

Improved

Optimal planning frequency

133

134

130

135

134

+3.85%

Yes

Execution collision frequency

0

0

0

0

0

0%

-

Planning collision frequency

11

13

8

0

22

-6.15%

Yes

Average longitudinal velocity

6.1548

6.0699

6.2864

6.0350

6.0667

-4.00%

Yes

Average longitudinal acceleration

0.0488

0.04868

0.0499

0.0484

0.0065

-3.01%

Yes

Average longitudinal jerk

0.00077

0.00087

0.00085

0.00077

0.00012

-9.41%

Yes

Average lateral velocity

-0.0537

-0.05691

-0.0588

-0.0595

-0.0496

+1.19%

No

Average lateral acceleration

0.0004

0.0075

0.0020

0.0053

-0.0003

+165.00%

No

Average lateral jerk

-0.0048

-0.0062

0.0032

0.0048

-0.0015

+50.00%

No

Average cost

44.2044

51.7982

33.6714

2.2288

85.4314

-93.38%

Yes

Computation speed (s)

0.0950

0.0940

0.1953

0.2096

0.3249

+7.32%

No