Structure estimation of 2D listric faults using quadratic Bezier curve for depth varying density distributions

2021 ◽  
Author(s):  
Arka Roy ◽  
Thatikonda Suresh Kumar ◽  
Rajat Kumar Sharma
Keyword(s):  
Bézier Curve ◽  
Bezier Curve ◽  
Structure Estimation ◽  
Density Distributions ◽  
Quadratic Bézier Curve

CONSTRAINING A QUADRATIC RATIONAL BEZIER TO BE AN ELLIPTICAL ARC

1996 ◽  
Vol 06 (04) ◽  
pp. 435-441
Author(s):  
PIERRE J. MALRAISON
Keyword(s):  
Bézier Curve ◽  
Bezier Curve ◽  
Quadratic Bézier Curve ◽  
Control Net

Analytic constraint solvers have a limited set of available geometries, typically lines and circles. This paper examines a method for constraining the control net of a rational quadratic Bezier curve so that it is always an elliptical arc.

Quick draw of the original handwriting base on quadratic Bezier curve

2016 ◽  
Vol 14 (04) ◽  
pp. 1650025
Author(s):  
Shengan Zhou ◽  
Dongfa Gao ◽  
Dehua Zhou
Keyword(s):  
Normal Mouse ◽  
Experimental Results ◽  
Bézier Curve ◽  
Bezier Curve ◽  
Input Device ◽  
Input Devices ◽  
Quadratic Bézier Curve ◽  
Direction Information ◽  
Quick Draw ◽  
Moving Speed

According to the use of normal mouse as an input device to achieve the quick draw of the original handwriting, this paper proposed a quick draw Method of original handwriting based on quadratic Bezier curve. Firstly, the method obtained moving speed and the direction information of the mouse and the information helped to obtain the periphery polygon vertex of the original handwriting drawing. Then Corresponding vertices of a polygon was used to structure the Bezier curve on both sides of the original handwriting to generate the peripheral curve polygon of the original handwriting. Finally, it was input by filling the curve polygon to simulate the user’s handwriting. The experimental results show that the algorithm interacts smoothly and has good simulation effect. Compared with other original handwriting drawing methods with the help of the related electronic input devices, this method only needs the normal mouse instead of stylus and multi touch device to achieve the smooth drawing of original handwriting. Therefore it has wide application value.

EUCLIDEAN VORONOI DIAGRAM FOR CIRCLES IN A CIRCLE

2005 ◽  
Vol 15 (02) ◽  
pp. 209-228 ◽  
Author(s):  
DONGUK KIM ◽  
DEOK-SOO KIM ◽  
KOKICHI SUGIHARA
Keyword(s):  
Voronoi Diagram ◽  
Bézier Curve ◽  
Bezier Curve ◽  
Large Circle ◽  
Ordinary Point ◽  
Quadratic Bézier Curve ◽  
Curve Form ◽  
Correct Topology

Presented in this paper is an algorithm to compute a Euclidean Voronoi diagram for circles contained in a large circle. The radii of circles are not necessarily equal and no circle inside the large circle wholly contains another circle. The proposed algorithm uses the ordinary point Voronoi diagram for the centers of inner circles as a seed. Then, we apply a series of edge-flip operations to the seed topology to obtain the correct topology for the desired one. Lastly, the equations of edges are represented in a rational quadratic Bézier curve form.

TRACING THE DEFORMED MIDLINE ON BRAIN CT

2006 ◽  
Vol 18 (06) ◽  
pp. 305-311 ◽  
Author(s):  
CHUN-CHIH LIAO ◽  
I-JEN CHIANG ◽  
FUREN XIAO ◽  
JAU-MIN WONG
Keyword(s):  
Bilateral Symmetry ◽  
Biomechanical Properties ◽  
Bézier Curve ◽  
Bezier Curve ◽  
Intensity Difference ◽  
Midline Shift ◽  
The Difference ◽  
One Year ◽  
Quadratic Bézier Curve ◽  
Straight Segments

Midline shift (MLS) is the most important quantitative feature clinicians use to evaluate the severity of brain compression by various pathologies. We proposed a model of the deformed midline according to the biomechanical properties of different types of intracranial tissue. The model comprised three segments. The upper and lower straight segments represented parts of the tough meninges separating two hemispheres, and the central curved segment, formed by a quadratic Bezier curve, represented the intervening soft brain tissue. For each point of the model, the intensity difference was calculated over 48 adjacent point pairs at each side. The deformed midline was considered ideal as summed square of the difference across all midline points approaches global minimum, simulating maximal bilateral symmetry. Genetic algorithm was applied to optimize the values of the three control points of the Bezier curve. Our system was tested on images containing various pathologies from 81 consecutive patients treated in a single institute over one-year period. The deformed midlines itself as well as the amount of midline shift were evaluated by human experts, with satisfactory results.

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