Code covered by the BSD License  

Highlights from
geom2d

• angle2Points(varargin) ANGLE2POINTS Compute horizontal angle between 2 points
• angle3Points(varargin) ANGLE3POINTS Compute oriented angle made by 3 points
• angleAbsDiff(angle1, angle2) ANGLEABSDIFF Absolute difference between two angles
• angleDiff(angle1, angle2) ANGLEDIFF Difference between two angles
• angleSort(pts, varargin) ANGLESORT Sort points in the plane according to their angle to origin
• angles2d ANGLES2D Description of functions for manipulating angles
• bisector(varargin) BISECTOR Return the bisector of two lines, or 3 points
• boundingBox(points) BOUNDINGBOX Bounding box of a set of points
• boxes2d(varargin) BOXES2D Description of functions operating on bounding boxes
• cart2geod(src, curve) CART2GEOD Convert cartesian coordinates to geodesic coord.
• cartesianLine(varargin) CARTESIANLINE Create a straight line from cartesian equation coefficients
• centroid(varargin) CENTROID Compute centroid (center of mass) of a set of points
• circleArcAsCurve(arc, N) CIRCLEARCASCURVE Convert a circle arc into a series of points
• circleArcToPolyline(arc, N) CIRCLEARCTOPOLYLINE Convert a circle arc into a series of points
• circleAsPolygon(circle, varar... CIRCLEASPOLYGON Convert a circle into a series of points
• circleToPolygon(circle, varar... CIRCLETOPOLYGON Convert a circle into a series of points
• circles2d(varargin) CIRCLES2D Description of functions operating on circles
• circumCenter(a, b, c) CIRCUMCENTER Circumcenter of three points
• circumCircle(varargin) CIRCUMCIRCLE Circumscribed circle of a triangle
• clipEdge(edge, box) CLIPEDGE Clip an edge with a rectangular box
• clipLine(line, box, varargin) CLIPLINE Clip a line with a box
• clipLineRect(line, rect) CLIPLINERECT clip a line with a polygon
• clipPoints(points, box) CLIPPOINTS Clip a set of points by a box
• clipPolygon(polygon, w) CLIPPOLYGON Clip a polygon with a rectangular box
• clipPolygonHP(poly, line) CLIPPOLYGONHP Clip a polygon with a Half-plane defined by a directed line
• clipRay(ray, box)
• convexHull(points) CONVEXHULL Convex hull of a set of points
• convexification(varargin) CONVEXIFICATION Compute the convexification of a polygon
• crackPattern(box, points, alp... CRACKPATTERN Create a (bounded) crack pattern tessellation
• crackPattern2(box, points, al... CRACKPATTERN2 Create a (bounded) crack pattern tessellation
• createBasisTransform(source, ... CREATEBASISTRANSFORM Compute matrix for transforming a basis into another basis
• createCircle(varargin) CREATECIRCLE Create a circle from 2 or 3 points
• createDirectedCircle(varargin... CREATEDIRECTEDCIRCLE Create a directed circle
• createEdge(varargin) CREATEEDGE Create an edge between two points, or from a line
• createHomothecy(point, ratio) CREATEHOMOTHECY Create the the 3x3 matrix of an homothetic transform
• createLine(varargin) CREATELINE Create a straight line from 2 points, or from other inputs
• createLineReflection(line) CREATELINEREFLECTION Create the the 3x3 matrix of a line reflection
• createMedian(varargin) CREATEMEDIAN create a median line
• createRay(varargin) CREATERAY Create a ray (half-line), from various inputs
• createRotation(varargin) CREATEROTATION Create the 3*3 matrix of a rotation
• createScaling(varargin) CREATESCALING Create the 3*3 matrix of a scaling in 2 dimensions
• createTranslation(varargin) CREATETRANSLATION Create the 3*3 matrix of a translation
• createVector(p1, p2) CREATEVECTOR Create a vector from two points
• cubicBezierToPolyline(points,... CUBICBEZIERTOPOLYLINE Compute equivalent polyline from bezier curve control
• curvature(varargin) CURVATURE Estimate curvature of a polyline defined by points
• curveCMoment(curve, p, q) CURVECMOMENT Compute centered inertia moment of a 2D curve
• curveCSMoment(curve, p, q) CURVECSMOMENT Compute centered scaled moment of a 2D curve
• curveCentroid(varargin) CURVECENTROID compute centroid of a curve defined by a series of points
• curveLength(varargin) CURVELENGTH return length of a curve (a list of points)
• curveMoment(curve, p, q) CURVEMOMENT Compute inertia moment of a 2D curve
• deg2rad(deg) DEG2RAD Convert angle from degrees to radians
• densifyPolygon(poly, N) DENSIFYPOLYGON Add several points on each edge of the polygon
• distancePointEdge(point, edge... DISTANCEPOINTEDGE Minimum distance between a point and an edge
• distancePointLine(point, line... DISTANCEPOINTLINE Minimum distance between a point and a line
• distancePointPolygon(point, p... DISTANCEPOINTPOLYGON Compute shortest distance between a point and a polygon
• distancePointPolyline(point, ... DISTANCEPOINTPOLYLINE Compute shortest distance between a point and a polyline
• distancePoints(p1, p2, vararg... DISTANCEPOINTS Compute distance between two points
• distancePolygons(poly1, poly2... DISTANCEPOLYGONS Compute the shortest distance between 2 polygons
• distancePolylines(poly1, poly... DISTANCEPOLYLINES Compute the shortest distance between 2 polylines
• drawArrow(varargin) DRAWARROW Draw an arrow on the current axis
• drawBezierCurve(points, varar... DRAWBEZIERCURVE Draw a cubic bezier curve defined by 4 control points
• drawBox(box, varargin) DRAWBOX Draw a box defined by coordinate extents
• drawCenteredEdge(varargin) DRAWCENTEREDEDGE Draw an edge centered on a point
• drawCircle(varargin) DRAWCIRCLE Draw a circle on the current axis
• drawCircleArc(varargin) DRAWCIRCLEARC Draw a circle arc on the current axis
• drawCurve(varargin) DRAWCURVE draw a curve specified by a list of points
• drawEdge(varargin) DRAWEDGE Draw an edge given by 2 points
• drawEllipse(varargin) DRAWELLIPSE Draw an ellipse on the current axis
• drawEllipseArc(varargin) DRAWELLIPSEARC Draw an ellipse arc on the current axis
• drawLabels(varargin) DRAWLABELS Draw labels at specified positions
• drawLine(lin, varargin) DRAWLINE Draw the line on the current axis
• drawOrientedBox(box, varargin... DRAWORIENTEDBOX Draw centered oriented rectangle
• drawParabola(varargin) DRAWPARABOLA Draw a parabola on the current axis
• drawPoint(varargin) DRAWPOINT Draw the point on the axis.
• drawPolygon(varargin) DRAWPOLYGON Draw a polygon specified by a list of points
• drawPolyline(varargin) DRAWPOLYLINE Draw a polyline specified by a list of points
• drawPolynomialCurve(tBounds, ... DRAWPOLYNOMIALCURVE Draw a polynomial curve approximation
• drawRay(ray, varargin) DRAWRAY Draw a ray on the current axis
• drawRect(rect, varargin) DRAWRECT Draw rectangle on the current axis
• drawRect2(varargin) DRAWRECT2 Draw centered rectangle on the current axis
• drawShape(type, param, vararg... DRAWSHAPE Draw various types of shapes (circles, polygons...)
• drawVertices(varargin) DRAWVERTICES Draw the vertices of a polygon or polyline
• edgeAngle(edge) EDGEANGLE Return angle of edge
• edgeLength(varargin) EDGELENGTH Return length of an edge
• edgePosition(point, edge) EDGEPOSITION Return position of a point on an edge
• edgeToLine(edge) EDGETOLINE Convert an edge to a straight line
• edgeToPolyline(edge, N) EDGETOPOLYLINE Convert an edge to a polyline with a given number of segments
• edges2d(varargin) EDGES2D Description of functions operating on planar edges
• ellipseAsPolygon(ellipse, N) ELLIPSEASPOLYGON Convert an ellipse into a series of points
• ellipsePerimeter(ellipse, var... ELLIPSEPERIMETER Perimeter of an ellipse
• ellipseToPolygon(ellipse, N) ELLIPSETOPOLYGON Convert an ellipse into a series of points
• ellipses2d(varargin) ELLIPSES2D Description of functions operating on ellipses
• enclosingCircle(pts) ENCLOSINGCIRCLE Find the minimum circle enclosing a set of points.
• expandPolygon(poly, dist) EXPANDPOLYGON Expand a polygon by a given (signed) distance
• fillPolygon(varargin) FILLPOLYGON Fill a polygon specified by a list of points
• findPoint(coord, points) FINDPOINT Find index of a point in an set from its coordinates
• fitAffineTransform2d(pts1, pt... FITAFFINETRANSFORM2D Fit an affine transform using two point sets
• formatAngle(alpha) FORMATANGLE Ensure an angle value is comprised between 0 and 2*PI
• geod2cart(src, curve, normal) GEOD2CART Convert geodesic coordinates to cartesian coord.
• hexagonalGrid(bounds, origin,... HEXAGONALGRID Generate hexagonal grid of points in the plane.
• homothecy(point, ratio) HOMOTHECY create a homothecy as an affine transform
• inCircle(point, circle) INCIRCLE test if a point is located inside a given circle.
• inertiaEllipse(points) INERTIAELLIPSE Inertia ellipse of a set of points
• intersectBoxes(box1, box2) INTERSECTBOXES Intersection of two bounding boxes
• intersectCircles(circle1, cir... INTERSECTCIRCLES Intersection points of two circles
• intersectEdgePolygon(edge, po... INTERSECTEDGEPOLYGON Intersection point of an edge with a polygon
• intersectEdges(edge1, edge2) INTERSECTEDGES Return all intersections between two set of edges
• intersectLineCircle(line, cir... INTERSECTLINECIRCLE Intersection point(s) of a line and a circle
• intersectLineEdge(line, edge) INTERSECTLINEEDGE Return intersection between a line and an edge
• intersectLinePolygon(line, po... INTERSECTLINEPOLYGON Intersection points between a line and a polygon
• intersectLines(line1, line2, ... INTERSECTLINES Return all intersection points of N lines in 2D
• intersectPolylines(poly1, var... INTERSECTPOLYLINES Find the common points between 2 polylines
• intersectRayPolygon(ray, poly... INTERSECTRAYPOLYGON Intersection points between a ray and a polygon
• invertLine(var) INVERTLINE return same line but with opposite orientation
• isCounterClockwise(p1, p2, p3... ISCOUNTERCLOCKWISE Compute relative orientation of 3 points
• isLeftOriented(point, line) ISLEFTORIENTED Test if a point is on the left side of a line
• isParallel(v1, v2, varargin) ISPARALLEL Check parallelism of two vectors
• isPerpendicular(v1, v2, varar... ISPERPENDICULAR Check orthogonality of two vectors
• isPointInCircle(point, circle... ISPOINTINCIRCLE Test if a point is located inside a given circle
• isPointInEllipse(point, ellip... ISPOINTINELLIPSE Check if a point is located inside a given ellipse
• isPointInPolygon(point, poly) ISPOINTINPOLYGON Test if a point is located inside a polygon
• isPointInTriangle(point, p1, ... ISPOINTINTRIANGLE Test if a point is located inside a triangle
• isPointOnCircle(point, circle... ISPOINTONCIRCLE Test if a point is located on a given circle.
• isPointOnEdge(point, edge, va... ISPOINTONEDGE Test if a point belongs to an edge
• isPointOnLine(point, line, va... ISPOINTONLINE Test if a point belongs to a line
• isPointOnPolyline(point, poly... ISPOINTONPOLYLINE Test if a point belongs to a polyline
• isPointOnRay(point, ray, vara... ISPOINTONRAY Test if a point belongs to a ray
• lineAngle(varargin) LINEANGLE Computes angle between two straight lines
• lineFit(varargin) LINEFIT Fit a straight line to a set of points
• linePosition(point, line) LINEPOSITION Position of a point on a line
• lineSymmetry(line) LINESYMMETRY create line symmetry as 2D affine transform
• lines2d(varargin) LINES2D Description of functions operating on planar lines
• medialAxisConvex(points) MEDIALAXISCONVEX Compute medial axis of a convex polygon
• medianLine(varargin) MEDIANLINE Create a median line between two points
• mergeBoxes(box1, box2) MERGEBOXES Merge two boxes, by computing their greatest extent
• midPoint(varargin) MIDPOINT Middle point of two points or of an edge
• minDistance(p, curve) MINDISTANCE compute minimum distance between a point and a set of points
• minDistancePoints(p1, varargi... MINDISTANCEPOINTS Minimal distance between several points
• minimumCaliperDiameter(points... MINIMUMCALIPERDIAMETER Minimum caliper diameter of a set of points
• nndist(points) NNDIST Nearest-neighbor distances of each point in a set
• normalize(v) NORMALIZE normalize a vector
• normalizeAngle(alpha, varargi... NORMALIZEANGLE Normalize an angle value within a 2*PI interval
• normalizeVector(v) NORMALIZEVECTOR Normalize a vector to have norm equal to 1
• onCircle(point, circle) ONCIRCLE test if a point is located on a given circle.
• onEdge(point, edge) ONEDGE test if a point belongs to an edge
• onLine(point, line) ONLINE test if a point belongs to a line
• onRay(point, ray) ONRAY test if a point belongs to a ray
• orientedBoxToPolygon(obox) ORIENTEDBOXTOPOLYGON Convert an oriented box to a polygon (set of vertices)
• orthogonalLine(line, point) ORTHOGONALLINE Create a line orthogonal to another one.
• parallelLine(line, point) PARALLELLINE Create a line parallel to another one.
• parametrize(varargin) PARAMETRIZE Parametrization of a polyline, based on edges lengths
• pointOnLine(line, pos) POINTONLINE Create a point on a line at a given position on the line
• pointSetsAverage(pointSets, v... POINTSETSAVERAGE Compute the average of several point sets
• points2d POINTS2D Description of functions operating on points
• polarPoint(varargin) POLARPOINT Create a point from polar coordinates (rho + theta)
• polyfit2(varargin) POLYFIT2 Polynomial approximation of a curve
• polygonArea(varargin) POLYGONAREA Compute the signed area of a polygon
• polygonBounds(polygon) POLYGONBOUNDS Compute the bounding box of a polygon
• polygonCentroid(varargin) POLYGONCENTROID Compute the centroid (center of mass) of a polygon
• polygonContains(poly, point) POLYGONCONTAINS Test if a point is contained in a multiply connected polygon
• polygonExpand(polygon, dist) POLYGONEXPAND 'expand' a polygon with a given distance
• polygonLength(poly, varargin) POLYGONLENGTH Perimeter of a polygon
• polygonLoops(poly) POLYGONLOOPS Divide a possibly self-intersecting polygon into a set of simple loops
• polygonNormalAngle(points, in... POLYGONNORMALANGLE Compute the normal angle at a vertex of the polygon
• polygonPoint(poly, pos) POLYGONPOINT Extract a point from a polygon
• polygonSelfIntersections(poly... POLYGONSELFINTERSECTIONS Find-self intersection points of a polygon
• polygonSubcurve(poly, t0, t1) POLYGONSUBCURVE Extract a portion of a polygon
• polygonToRow(polygon, varargi... POLYGONTOROW Convert polygon coordinates to a row vector
• polylineCentroid(varargin) POLYLINECENTROID Compute centroid of a curve defined by a series of points
• polylineLength(poly, varargin... POLYLINELENGTH Return length of a polyline given as a list of points
• polylinePoint(poly, pos) POLYLINEPOINT Extract a point from a polyline
• polylineSelfIntersections(pol... POLYLINESELFINTERSECTIONS Find self-intersections points of a polyline
• polylineSubcurve(poly, t0, t1... POLYLINESUBCURVE Extract a portion of a polyline
• polynomialCurveCentroid(tBoun... POLYNOMIALCURVECENTROID Compute the centroid of a polynomial curve
• polynomialCurveCurvature(t, v... POLYNOMIALCURVECURVATURE Compute the local curvature of a polynomial curve
• polynomialCurveCurvatures(t, ... POLYNOMIALCURVECURVATURES Compute curvatures of a polynomial revolution surface
• polynomialCurveDerivative(t, ... POLYNOMIALCURVEDERIVATIVE Compute derivative vector of a polynomial curve
• polynomialCurveFit(t, varargi... POLYNOMIALCURVEFIT Fit a polynomial curve to a series of points
• polynomialCurveLength(tBounds... POLYNOMIALCURVELENGTH Compute the length of a polynomial curve
• polynomialCurveNormal(t, vara... POLYNOMIALCURVENORMAL Compute the normal of a polynomial curve
• polynomialCurvePoint(t, varar... POLYNOMIALCURVEPOINT Compute point corresponding to a position
• polynomialCurvePosition(tBoun... POLYNOMIALCURVEPOSITION Compute position on a curve for a given length
• polynomialCurveProjection(tBo... POLYNOMIALCURVEPROJECTION Projection of a point on a polynomial curve
• polynomialCurveSetFit(seg, va... POLYNOMIALCURVESETFIT Fit a set of polynomial curves to a segmented image
• polynomialDerivate(poly) POLYNOMIALDERIVATE Derivate a polynomial
• projPointOnLine(point, line) PROJPOINTONLINE Project of a point orthogonally onto a line
• projPointOnPolygon(point, pol... PROJPOINTONPOLYGON Compute position of a point projected on a polygon
• projPointOnPolyline(point, po... PROJPOINTONPOLYLINE Compute position of a point projected on a polyline
• rad2deg(rad) RAD2DEG Convert angle from radians to degrees
• radicalAxis(circle1, circle2) RADICALAXIS Compute the radical axis (or radical line) of 2 circles
• randomPointInBox(box, N, vara... RANDOMPOINTINBOX Generate random point within a box
• rays2d(varargin) RAYS2D Description of functions operating on planar rays
• readPolygon(filename) READPOLYGON Read a polygon stored in a file
• rectAsPolygon(rect) RECTASPOLYGON Convert a (centered) rectangle into a series of points
• rectToPolygon(rect) RECTTOPOLYGON Convert a rectangle into a polygon (set of vertices)
• resamplePolygon(poly, n) RESAMPLEPOLYGON Distribute N points equally spaced on a polygon
• resamplePolyline(poly, n) RESAMPLEPOLYLINE Distribute N points equally spaced on a polyline
• reverseEdge(edge) REVERSEEDGE Intervert the source and target vertices of edge
• reverseLine(line) REVERSELINE Return same line but with opposite orientation
• reversePolygon(poly) REVERSEPOLYGON Reverse a polygon, by iterating vertices from the end
• reversePolyline(poly) REVERSEPOLYLINE Reverse a polyline, by iterating vertices from the end
• rotateVector(v, angle) ROTATEVECTOR Rotate a vector by a given angle
• rotation(varargin) ROTATION return 3*3 matrix of a rotation
• rowToPolygon(row, varargin) ROWTOPOLYGON Create a polygon from a row vector
• scaling(varargin) SCALING return 3*3 matrix of a scaling in 2 dimensions
• splitPolygons(polygon) SPLITPOLYGONS Convert a NaN separated polygon list to a cell array of polygons
• squareGrid(bounds, origin, si... SQUAREGRID Generate equally spaces points in plane.
• steinerPoint(varargin) STEINERPOINT Compute steiner point (weighted centroid) of a polygon
• steinerPolygon(points) STEINERPOLYGON Create a Steiner polygon from a set of vectors
• subCurve(curve, P1, P2, varar... SUBCURVE extract a portion of a curve
• supportFunction(polygon, vara... SUPPORTFUNCTION Compute support function of a polygon
• transformEdge(edge, trans) TRANSFORMEDGE Transform an edge with an affine transform
• transformLine(line, trans) TRANSFORMLINE Transform a line with an affine transform
• transformPoint(varargin) TRANSFORMPOINT Transform a point with an affine transform
• transformVector(varargin) TRANSFORMVECTOR Transform a vector with an affine transform
• transforms2d(varargin) TRANSFORMS2D Description of functions operating on transforms
• translation(varargin) TRANSLATION return 3*3 matrix of a translation
• triangleArea(pt1, pt2, pt3) TRIANGLEAREA Signed area of a triangle
• triangleGrid(bounds, origin, ... TRIANGLEGRID Generate triangular grid of points in the plane.
• triangulatePolygon(poly) TRIANGULATEPOLYGON Compute a triangulation of the polygon
• vecnorm(v, varargin) VECNORM compute norm of vector or of set of vectors
• vectorAngle(v1, varargin) VECTORANGLE Angle of a vector, or between 2 vectors
• vectorNorm(v, varargin) VECTORNORM Compute norm of a vector, or of a set of vectors
• vectors2d VECTORS2D Description of functions operating on plane vectors
• Contents.m
• Contents.m
• Contents.m
• View all files