2,626 results

Fast computation of intersections and self-intersections of curves using vectorization.

While a few other functions already exist in FEX that compute the intersection points of curves, this short piece of code was written with speed being the highest priority. No loops are used

Computes intersection points of two curves.

This function computes the (x,y) locations where two curves intersect. The curves can be broken with NaNs or have vertical segments. It is also very fast (at least on data that represents what I

Intersection of two triangulated surfaces

Function calculates intersection of any two triangulated surfaces using triangle/triangle intersection algorithm proposed by Tomas Möller (1997) and implemented as highly vectorized MATLAB code. The

Distance based interpolation along a general curve in space

A common request is to interpolate a set of points at fixed distances along some curve in space (2 or more dimensions.) The user typically has a set of points along a curve, some of which are closely

Find vertex or (in)equality forms of convex polyhedra in R^n (for n not super large). Also, compute their intersections and unions.

column vectors, respectively. The (in)equality representation expresses the polyhedron as the intersection of two regions. One region is a solid N-dimensional shape, described by the inequalities, while

Find the closest point on a (n-dimensional) curve to any given point or set of points

I've seen many people ask for a way to find the closest point on a curve from some given point in space. If the curve is a piecewise linear one, this is not too difficult, since this reduces to

Computes the self-intersections of a curve.

This function computes the locations where a curve self-intersects in a fast and robust way. The curve can be broken with NaNs or have vertical segments. Segments of the curve involved in each of the

Calculates the local radius of curvature as well as the cumulative arc length and the curvature vector along a 1D curve in 2D or 3D space

the curve. The curvature is defined as . The curvature vector is , where is the unit vector in the direction from to the center of the circle.Note that this local calculation is sensitive to noise

Finds the intersection points between two arbitrary polygons.

GeneralThis file is based on the Curve Intersect function by Duane Hanselman. It extends the scope of the function to handle arbitrary lines / polygons, which may also have vertical segments or

plane_line_intersect computes the intersection of a plane and a segment(or

%plane_line_intersect computes the intersection of a plane and a segment (or a straight line)% Inputs: % n: normal vector of the Plane % V0: any point that belongs to the Plane % P0: end point 1

Fast vectorized triangle/ray intersection algorithm

Ray/triangle intersection using the algorithm proposed by Möller and Trumbore (1997), implemented as highly vectorized MATLAB code. The algorithm can work with one and two sided surfaces, as well as

This is a Graphical User Interface to calculate the Yaw Moment Diagram and Phase Portrait of a vehicle based on the bicycle model.

Finds the pairwise intersection points between line segments in 2D Cartesian space.

OUT = LINESEGMENTINTERSECT(XY1,XY2) generates intersection analysis between the line segment sets given in XY1 and XY2. Code can handle coincident and parallel lines.The main emphasis is on speed

Function shades the area between two vectors.

many line and curve intersection.

easy to use for any type of line and curve intersection with example.

The Fill Between Area Curve creates a shaded area between two data series, effectively highlighting the region of overlap or difference.

# Fill Between Area Curve[![View Fill Between Area Curve on File

It computes the intersection of two planes in space.

and Plane 2 coincide% 2:Plane 1 and Plane 2 intersect)% Example:% Determine the intersection of these two planes:% 2x - 5y + 3z = 12 and 3x + 4y - 3z = 6% The first plane is

A generalization of INTERSECT to handle multiple inputs.

A collection of functions for 2D and 3D geometric computing (intersections, distance...) on various shapes: polygons, meshes, ellipsoids...

vertices), computation of convex hull or of intersections with other geometric primitives. A summary of typical operations in presented in the following script.```matlab% read polygon data as a numeric

Generates the outer and inner parallel curves in rectangular coordinates.

Simple program to generate the inner and outer parallel curves in rectangular coordinates. inner parallel is toward the center of curvature and outer parallel is away from the center of curvature

Fast mesh-mesh intersection based on ray-tri solution. Octree partitioning gives large speed-up.

% Putative points of intersection between each pair of surfaces are located% by assuming that each constituent mesh triangle edge represents an% infinitesimal ray, then solving the ray-triangle

gaussian curve fit

Program to simplify design of antennas, through the use of interactive design curves

This program was written as part of a university project.The program uses design curves to allow users to design antennas. The design curves are interactive - i.e., click and drag with the mouse. The

Compute the arclength of a general curve in any number of dimensions

The arclength function computes the length of a general space curve. This is not too difficult if the curve is assumed to be piecewise linear (a one liner) but if the curve is to be a smoothly

This function returns the points of intersection between a line and a generalized ellipse

Mathematical intersection of range composed of a union of intervals

Purpose: Range/interval intersectionA and B two ranges of closed intervals written as vectors [lowerbound1 upperbound1 lowerbound2 upperbound2] or as matrix [lowerbound1, lowerbound2, lowerboundn

How to draw the famous Hilbert curve, the curve that fills an area.

This recursive function calculates coordinates of n-th order Hilbert curve. It is then possible to plot it using the "line" command.

Examples of 3D curves described in Chapter 7 of the book: "CRC Standard Curves and Surfaces"

Examples of Three dimensional curves described in Chapter 7 ofthe book: "CRC Standard Curves and Surfaces" by David von Seggern (1993).The zip file includes the following curves:a) Helical curves

Takes n point inputs through cursor or kerboard ,plots a bezier curve using them as control points

Presenting the one and only Generalised Bezier curve !!!! Yes folks Matlab code for n points , this program will plot the Bezier curve for any number of points be it 2 or 3 or even 100 or more points

GPU portable implementation of the ray-triangle intersection method of Moller and Trumbore (1997)

% Ray-triangle intersection algorithm of Muller and Trumbore (1997)% formatted for arrayfun to allow hardware acceleration% Call with gpuarray and arrayfun to execute on the GPU: thjs% may give two

Here's a code to plot the characteristic IV curve of PV.

The function is used to calculate Isc and Voc in addition to plotting the characteristic IV curve.The functions takes the cell's parameters as inputs. The performance of the solar cell and its

constructs a Bezier curve using a given set of control points

This is a simple program that constructs a Bezier curve using a given number of control points. Besides, it also plots the corresponding characteristic polygon.

Interface for generating the Koch curve

Application for generating the Koch curve (or Koch snowflake) fractal by selecting the number of iterations. Just unzip and run the Koch_curve_GUI.m file.

POLYPREDCI calculates prediction intervals for ‘polyfit’ and ‘polyval’ curve fits.

POLYPREDCI takes the actual (x,y) data and polynomial order as arguments, uses ‘polyfit’ and ‘polyval’ to do the regression, then calculates and returns the fitted curve and the one-sided prediction

To plot the intersection of 2 surfaces determined by Implicit functions.

To plot the intersection of 2 surfaces. If one of the surface is not determined by implicit function, it's easy to plot the intersection. But when 2 surfaces are both implicit functions, the work

With data (x,y), the function finds "x" that correspond to y=y0.

Stringart: Play with geometry and Bézier's quadratic curve

different angles and metric positions at which strings intersect gives the appearance of Bézier curves (as in the mathematical concept of envelope of a family of straight lines). Quadratic Bézier curve are

Compute the intersection of a cone and a plane, where the result is represented as an ellipse

This function computes the intersection of a cone and a plane, where the result is represented either as an ellipse or in the form of a Gaussian distribution.This algorithm can be used to extract

A MATLAB version of Dubins' Curve based on Andrew Walker's work

A MATLAB version of Dubins Curve based on Andrew Walker's workA Dubin's curve is a nearly kinemetically feasible path solution for car-like platform. The method explicitly find the trajectory

Generating curves in a fractal way

Program for generating curves (Bezier, Chaikin) in a fractal way. Moreover program can draw every shape described with help of Bezier or Chaikins curves. To run this program just type "curves" and

Measure area with a certain color on top of a curved surface.

In material science curved surfaces may be heated due to study thermal flow.Here a simple image is projected on top of the peaks surface and the red are is measured in square pixels. Deaunay is used

A function to compute the intersection between a parametric line of the 3D space and a plane.

Please first check the examples tab (.mlx file) here on the right for a complete description.Once downloaded, typewrite 'help line_plane_intersection' or 'doc line_plane_intersection' in Matlab

Geometry library for matlab. Performs geometric computations on points, lines, circles, polygons...

an intuitive syntax. Ex: createCircle(p1, p2, p3) to create a circle through 3 points, create parallel and perpendicular lines* compute intersections between 2 lines, between a line and a circle* work

A free curve fitting toolbox for Matlab

The Ezyfit toolbox for Matlab enables you to perform simple curve fitting of one-dimensional data using arbitrary (non linear) fitting functions.EzyFit adds a new menu to your figure windows, which

Calculate and plot P/R and ROC curves for binary classification tasks.

trade-off recall (=true positive rate) versus false positive rate (resp. precision). Depending on the relative class frequencies, ROC and P/R curves can highlight different properties; for details, see e.g

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Calculate intersection point of two 2d lines specified with 2 points each

Calculate intersection point of two 2d lines specified with 2 points each(X1, Y1; X2, Y2; X3, Y3; X4, Y4), while 1&2 and 3&4 specify a line.Gives back NaN or Inf/-Inf if lines are parallel (=

Given two line segments, compute the intersection point.

% [E, lambda, gamma, isConvex] = lineIntersection(A,B,C,D)%% Given a line segment AB and another line segment CD, compute the point E% where the lines intersect.%% INPUTS:% A = [2,n] = [Ax;Ay] =

Visualize physics with simple graphics commands using MATLAB

Fit a Johnson distribution to non-normal data

JOHNSON CURVE TOOLBOX FOR MATLABby David L. Jones, PhDJohnson (1949) developed a flexible system of distributions, based on three families of transformations, that translate an observed, non-normal

Offset a 2D curve by a given amount

This function offsets a 2D curve by a given amount. If your curve is plotted, you can also pass the parent axis handle and offset by a given number of points, and it will respect the on-screen

Wrapper for NLINFIT which allows simultaneous fitting for multiple data sets with shared parameters.

This function computes the intersection any Ellipsoid and a Plane,

Arbitrary ELIPSOID and A PLANE INTERSECTION function[Aye,Bye,qx,qy,qz]=intersection_elipsoid_plane2(elp,plane) % Plane equation AA.x + BB.y + CC.z+ DD = 0% Standart Ellipsoid equation

compute a ROC curve

you will put only 1 or 0 (i.e. 1 if the subject is diabetic; 0 if he/she is healthy).Run rocdemo to see an exampleThe function computes and plots the classical ROC curve and curves for Sensitivity

Matlab functions to plot 3D maps from indentation tests

Useful functions for geometry processing, constrainted optimization and image processing.

colorization, diffusion curves - exact (un)signed distance field computation for meshes - constructive solid geometry operations on meshes, booleans - accelerated point location in triangle and tetrahedral

The beginnings of an optical raytrace program with partial GUI interface

GIBBON: The Geometry and Image-Based Bioengineering add-ON for MATLAB

Finding intersection point of lines in 3D space (two or more lines).

Finding intersection point of lines in 3D space (two or more lines). Will return point with the minimum sum of squared distances from point to lines (LSM-method, using pseudoinverse). % PA :

This function finds the intersection point of two lines.

This function uses a method of determinants to find the intersection of two linear lines. Inputs into this function are coordinates of two lines (vectors) i.e. Line1 = [(x11,y11);(x12,y12)] and