Approximation of Vehicle Trajectory with B-Spline Curve

Páleš, Dušan; Váliková, Veronika; Antl, Ján; Tóth, František

doi:10.1515/ata-2016-0001

Cited by 3 publications

(3 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The basic equation of the B-spline function that we described for the curve [6] has to match in both directions, thus h = m + p + 1 and k = n + q + 1. Like Bézier surface is also the B-spline surface the surface of tensor product.…”

Section: B-spline Surfacementioning

confidence: 99%

“…These points then very efficiently approximate arbitrarily complex shapes and to edit in this way formed objects is often enough to edit positions of the control points [9]. Typical examples of this approach are Bézier curve [5], [8], B-spline curve [6] and NURBS curve [10]. Likewise are modelled also surfaces as Bézier surface [7], or B-spline surface, which is covered in detail in this article.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

B-spline surface for distribution of the agriculture soil moisture

Páleš¹,

Rédl²,

Beloev³

2017

MERAA

Self Cite

View full text Add to dashboard Cite

In the agricultural locality Pohranice were measured soil moisture values for the selected control points. Over these points we put the B-spline surface, which relatively detailed description we supply. On a simple example of 4 x 4 points we debugged program for generation of base functions. Furthermore, we verified process to generate knots of B-spline surface, which we subsequently used for the programming of the surface itself. In this manner formed algorithms we applied to 11 x 11 measured values of soil moisture. Discrete values of measurements were by clamped B-spline surface smoothed and its corner values constitute the edge measurement points. Evenly spaced points at a distance of 1 m in both directions slightly simplified the procedure, which can deal with irregular layout of points.

show abstract

Section: B-spline Surfacementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

B-spline surface for distribution of the agriculture soil moisture

Páleš¹,

Rédl²,

Beloev³

2017

MERAA

Self Cite

View full text Add to dashboard Cite

show abstract

“…In many countries, the controllability evaluation of machine-tractor unit movement is performed by means of indicator l d , according to which the load on the tractor steering wheels should reach more than 20% of operational tractor weight, which means l d ≥0.2 (Farobin, 1970). Páleš et al (2016) have used B-spline curve to study the vehicle trajectory when moving on a field and they have obtained an exact picture characterizing the movement of the vehicle.…”

mentioning

confidence: 99%

Theoretical Consideration of The Controllability Indicator of Machine-Tractor Unit Movement

Bulgakov

Аdаmchuk²,

Nadykto

et al. 2017

Acta Technologica Agriculturae

View full text Add to dashboard Cite

The paper is focused on the issues of controllability of machine-tractor units based on wheel-type tractors during their non-straight driving on the soil surface, which is positioned at an angle to the horizon. There were obtained analytical expressions for the determination of the actual indicator of control l d , including both the power and the design parameters of the machine-tractor unit, which affect the abovementioned indicator in the longitudinal vertical plane. These expressions are obtained for the tractor driving on both road and also driving during field operation. In addition, the paper discusses the conditions under which there may occur the cross-slip of the tractor steering wheels in the transversal horizontal plane. As a result of this review, there were obtained the analytical expressions for determining the required indicator of the controllability l d of machine-tractor unit in the horizontal plane, excluding the possibility of lateral sliding of the unit by turning its steering wheels at a certain angle. These expressions are obtained for the two modes of the machine-tractor unit: for driving during transport on the road and during the operation in the field. The machine-tractor unit based on the wheel-type tractor with rear mounted 3-mouldboard plough was analytically investigated. By means of computer calculations, there was observed the fact that when moving in non-straight direction on the soil surface, inclined to the horizon at an angle of 12°, the machine-tractor unit is controllable only when the angles of the steering wheel of the given tractor do not exceed 9°. During the working movement (ploughing) of the given machine-tractor unit on an inclined field surface, its controllability will be preserved on condition that the angle of the tractor steering wheels does not exceed 11°. According to obtained results, it can be stated that the controllability of the machine-tractor unit is determined by the indicator of controllability, taking into account the value of the vertical load acting on the tractor steering wheels, the possibility of their turning in the horizontal plane, as well as the withdrawal of the machine-tractor unit from rectilinear motion and its movement on the field surface, inclined at an angle to the horizon.

show abstract

A Light Statistical Method of Air Traffic Delays Prediction

Tarasevych

Ostroumov

2020

2020 IEEE 2nd International Conference on System Analysis &Amp; Intelligent Computing (SAIC)

View full text Add to dashboard Cite

Approximation of Vehicle Trajectory with B-Spline Curve

Cited by 3 publications

References 0 publications

B-spline surface for distribution of the agriculture soil moisture

B-spline surface for distribution of the agriculture soil moisture

Theoretical Consideration of The Controllability Indicator of Machine-Tractor Unit Movement

A Light Statistical Method of Air Traffic Delays Prediction

Contact Info

Product

Resources

About