Cubic Trigonometric Bezier Spiral Curves

Misro, Yushalify; Ramli, Ahmad; Ali, Jamaludin Md; Hamid, Nur Nadiah Abd

doi:10.1109/cgiv.2017.27

Cited by 11 publications

(6 citation statements)

References 15 publications

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“…Bezier spline curves have a number of properties that make them highly smooth, useful and convenient for curve and surface drawing. They are also easy to implement [26]. Due to these reasons, Bezier curves are very popular and are widely used in design.…”

Section: Shape Feature Extractionmentioning

confidence: 99%

“…The Bezier curves have various important features & Properties which makes them popular in design [26]. Out of them following are crucial for proposed method:…”

Section: Shape Feature Extractionmentioning

confidence: 99%

“…As per the property of Cubic Bezier curve, P0 and P3 control points are initial and terminating curve points. This requires curve pixels to be in order of tracing path [25,26]. Any curve points are represented in computer graphics as pixel (x, y) form.…”

Section: ) 1 St Stagementioning

confidence: 99%

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Position Invariant Spline Curve Based Image Retrieval Using Control Points

Pande¹,

Chetty²

2019

IJIES

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In this paper Cubic Bezier curve-based image retrieval system is proposed. This system evaluates similarity of each image in its database to a query image in terms of shape characteristics. Then, returns those images within a desired range of similarity. The proposed system determines nonlinear relationship between image's features for more accurate similarity comparison between query image and existing database images. Among existing approaches to shape feature analysis, statistical approach to extract shape features is adopted here. It works in form of control points of spline curves from both given query image and images of available database. These control points are further used to find out the Fourier Descriptors. Control points and Fourier descriptors are used for image retrieval in proposed system. With the vast number of images available on-line, quality CBIR systems are critical. The performance and results obtained by proposed system are compared to other CBIR systems. Comparison reveals proposed system performance is state of the art. In many parameters it outperforms other CBIR systems.

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Section: Shape Feature Extractionmentioning

confidence: 99%

“…The Bezier curves have various important features & Properties which makes them popular in design [26]. Out of them following are crucial for proposed method:…”

Section: Shape Feature Extractionmentioning

confidence: 99%

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Position Invariant Spline Curve Based Image Retrieval Using Control Points

Pande¹,

Chetty²

2019

IJIES

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“…Han et al [5] presented a cubic trigonometric Bézier curve with two shape parameters and managed to show the representation of ellipses using T-Bézier curves. The cubic trigonometric Bézier curves by [5] are being extended to construct spiral [6] and transition curves [7]. Dube and Sharma [8] presented a quartic trigonometric Bézier-like curve with one shape parameter and defined the corresponding trigonometric Bézier surfaces.…”

Section: Introductionmentioning

confidence: 99%

“…Lasser [22] proposed an algorithm for converting a rectangular patch of a triangular Bézier surface into a tensor product Bézier representation and also discuss the corner problem of a surface. The curves and surfaces in [1][2][3][4][5][6][7][8][9][10][18][19][20][21] have several specific advantages such as they inherit the positive properties of the classical Bézier curves and surfaces. Furthermore, several local shape parameters are included and make it possible to change the local shapes of the curves and surfaces without altering the control points.…”

Section: Introductionmentioning

confidence: 99%

Construction of Local Shape Adjustable Surfaces Using Quintic Trigonometric Bézier Curve

Ammad

Misro

2020

Symmetry

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Based on quintic trigonometric Bézier like basis functions, the biquintic Bézier surfaces are modeled with four shape parameters that not only possess the key properties of the traditional Bézier surface but also have exceptional shape adjustment. In order to construct Bézier like curves with shape parameters, we present a class of quintic trigonometric Bézier like basis functions, which is an extension of a traditional Bernstein basis. Then, according to these basis functions, we construct three different types of shape adjustable surfaces such as general surface, swept surface and swung surface. In addition to the application of the proposed method, we also discuss the shape adjustment of surfaces showing with curvature nephogram (with and without fixing the boundaries). However, the modeling examples shows that the suggested approach is efficient and easy to implement.

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