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Lane detection with front-view RGB images has been a long-standing challenge. Among the various methods, curve-based approaches are known for their fast speed, conciseness, and ability to handle occlusions. However, these methods often suffer from ...

Euler spirals have linear varying curvature with respect to arc length and can be applied in fields such as aesthetics pleasing shape design, curve completion or highway design, etc. However, evaluation and interpolation of Euler spirals to ...

• A class of Bézier curves and B-spline curves are defined by discrete Euler spiral-like control polygons.
• The defined curves are called Euler Bézier spirals and Euler B-spline spirals when the curvature plots are monotone.
• Euler ...

This paper introduces two improved variants of the least squares progressive-iterative approximation (LSPIA) by leveraging momentum techniques. Specifically, based on the Polyak's and Nesterov's momentum techniques, the proposed methods utilize ...

• This paper proposes two refined versions of LSPIA by incorporating Polyak's heavy ball and Nesterov's momentum techniques.
• Geometric interpretation of our methods provides insight into the underlying acceleration principles.
• ...

The physically based deformable curve models are widely used to simulate thin one-dimensional objects in computer graphics, interactive simulation, and surgery simulation. These models consider objects to be rods described by an adapted frame ...

Robust curve design on surface meshes with flexible controls is useful in a wide range of applications but remains challenging. Most existing methods fall into one of the two strategies: one is to discretize a curve into a polyline, which is then ...

The extended target Gaussian mixture probability hypothesis density (ET-GM-PHD) filter is considered as a promising algorithm for tracking multiple extended targets (METs). However, when the densities of the newborn targets are unknown ...

In order to improve the stability and efficiency of excavator manipulator, a trajectory planning method is proposed. Firstly, the Denavit-Hartenberg (D-H) method was used to establish the kinematic coordinate system of the manipulator, then the forward ...

Estimating closed curves based on noisy data has been a popular and yet a challenging problem in many fields of applications. Yet, uncertainty quantification of such estimation methods has received much less attention in the literature. The ...

Curve blending is an extremely common problem in CAD systems. The current blending methods were looking for a third curve to join curves and some of the methods needed to distinguish the transition curve were C-or S-shaped. In this paper, we study a ...

As a complicated high-dimensional optimisation problem, path planning navigation problem for uninhabited combat air vehicles (UCAV) is to obtain a shortest safe flight route with different types of constrains under complicated combating environments. ...

• A multi-objective trajectory planning model is established and an improved immune clonal selection algorithm is proposed to calculate this model.

In this paper, a multi-objective trajectory planning method based on an improved immune clonal selection algorithm is proposed. On the basis of the inverse kinematic analysis and dynamic model of the 6-UPU parallel assembly platform (...

• A non-ellipsoidal model GIW-PHD (NEM-GIW-PHD) filter is presented to track multiple non-ellipsoidal extended targets.

Use of the Gaussian inverse Wishart probability hypothesis density (GIW-PHD) filter has demonstrated promise as an approach used to track an unknown number of ellipsoidal extended targets. However, based on the assumption that the ...

Constructing B-spline curves from orthogonal views is a common operation in the process of car modelling. Existing reconstructing methods for 3D free-form curves cannot effectively handle the situation where the projection curves in the input views are ...

This paper proposes a dense stereo-based robust vertical road profile estimation method. The vertical road profile is modeled by a cubic B-spline curve, which is known to be accurate and flexible but difficult to estimate under a large proportion of ...

In this paper we present a software tool that converts any two-dimensional black and white image into a CAD/CAM file in IGES format. It can be used to integrate topology optimization into CAD/CAM manufacturing systems, and that is indeed the main ...

We present an automatic method for fitting multiple B-spline curves to unorganized planar points. The method works on point clouds which have complicated topological structures and a single curve is insufficient for fitting the shape. A divide-and-merge ...

This paper proposes combining B-spline curved surface fitting with evolutionary algorithm to improve the fitting efficiency and precision. In the process of selecting curved surface control points, taking the minimum error sum of squares as the fitness ...

We propose a fast method for fitting planar B-spline curves to unorganized data points. In traditional methods, optimization of control points and foot points are performed in two alternating time-consuming steps in every iteration: 1) control points ...

This paper presents a geometric algorithm for the generation of uniform cubic B-spline curves interpolating a sequence of data points under tangent and curvature vectors constraints. To satisfy these constraints, knot insertion is used to generate ...

Quadratic Non-uniform hyperbolic B-spline curves with a local parameter are presented in this paper. The changes of a local shape parameter will only affect one curve segment. With the increase or decrease of the value of a shape parameter, the given ...