A modified Bezier curve technique for automatic reconstruction of broken contour lines extracted from a poor-quality topographic map

Pradhan, Ashis; Pradhan, Mohan P.

doi:10.1007/s11042-022-13912-x

Cited by 1 publication

(1 citation statement)

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“…In the field of free field measurements under aided conditions, Razzaq et al [ 29 ] introduced a new loudness function that incorporates Bézier interpolation to improve accuracy. Pradhan and Mohan [ 30 ] presented a novel method for maintaining the continuity of contour lines on topographic sheets, integrating the principles of Sign of Gradient (SG), Euclidean Distance (ED), and a customized Bézier Curve (BC) drawing method. Cao et al [ 31 ] proposed an efficient multi-degree reduction method for Ball Bézier surfaces under varying interpolation constraints, employing metaheuristic methods.…”

Section: Introductionmentioning

confidence: 99%

Geometric analysis of non-degenerate shifted-knots Bézier surfaces in Minkowski space

Bashir,

Ahmad

2024

PLoS ONE

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In this paper, we investigate the properties of timelike and spacelike shifted-knots Bézier surfaces in Minkowski space-E 1 3. These surfaces are commonly used in mathematical models for surface formation in computer science for computer-aided geometric design and computer graphics, as well as in other fields of mathematics. Our objective is to analyze the characteristics of timelike and spacelike shifted-knots Bézier surfaces in Minkowski space-E 1 3. To achieve this, we compute the fundamental coefficients of shifted-knots Bézier surfaces, including the Gauss-curvature, mean-curvature, and shape-operator of the surface. Furthermore, we present numerical examples of timelike and spacelike bi-quadratic (m = n = 2) and bi-cubic (m = n = 3) shifted-knots Bézier surfaces in Minkowski space-E 1 3 to demonstrate the applicability of the technique in Minkowski space.

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Section: Introductionmentioning

confidence: 99%