toxi.geom
Class Triangle3D

java.lang.Object
  toxi.geom.Triangle3D

All Implemented Interfaces:

Shape3D

public class Triangle3D
extends java.lang.Object
implements Shape3D

Field Summary

Vec3D	a
Vec3D	b
Vec3D	c
Vec3D	centroid
Vec3D	normal

Constructor Summary

Triangle3D()

Triangle3D(Vec3D a, Vec3D b, Vec3D c)

Method Summary

Vec3D	closestPointOnSurface(Vec3D p) Computes the the point closest to the current vector on the surface of triangle abc.
Vec3D	computeCentroid()
Vec3D	computeNormal()
boolean	containsPoint(ReadonlyVec3D p) Checks if point vector is inside the triangle created by the points a, b and c.
static Triangle3D	createEquilateralFrom(Vec3D a, Vec3D b)
Triangle3D	flipVertexOrder()
Vec3D	fromBarycentric(ReadonlyVec3D p)
AABB	getBoundingBox()
Vec3D	getClosestPointTo(ReadonlyVec3D p) Finds and returns the closest point on any of the triangle edges to the point given.
boolean	isClockwiseInXY()
static boolean	isClockwiseInXY(Vec3D a, Vec3D b, Vec3D c)
boolean	isClockwiseInXZ()
static boolean	isClockwiseInXZ(Vec3D a, Vec3D b, Vec3D c)
boolean	isClockwiseInYZ()
static boolean	isClockwiseInYZ(Vec3D a, Vec3D b, Vec3D c)
void	set(Vec3D a2, Vec3D b2, Vec3D c2)
Vec3D	toBarycentric(ReadonlyVec3D p)
java.lang.String	toString()

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, wait, wait, wait

Field Detail

a

public Vec3D a

b

public Vec3D b

c

public Vec3D c

normal

public Vec3D normal

centroid

public Vec3D centroid

Constructor Detail

Triangle3D

public Triangle3D()

Triangle3D

public Triangle3D(Vec3D a,
                  Vec3D b,
                  Vec3D c)

Method Detail

createEquilateralFrom

public static Triangle3D createEquilateralFrom(Vec3D a,
                                               Vec3D b)

isClockwiseInXY

public static boolean isClockwiseInXY(Vec3D a,
                                      Vec3D b,
                                      Vec3D c)

isClockwiseInXZ

public static boolean isClockwiseInXZ(Vec3D a,
                                      Vec3D b,
                                      Vec3D c)

isClockwiseInYZ

public static boolean isClockwiseInYZ(Vec3D a,
                                      Vec3D b,
                                      Vec3D c)

closestPointOnSurface

public Vec3D closestPointOnSurface(Vec3D p)

Computes the the point closest to the current vector on the surface of triangle abc. From Real-Time Collision Detection by Christer Ericson, published by Morgan Kaufmann Publishers, Copyright 2005 Elsevier Inc

Returns:

closest point on triangle (result may also be one of a, b or c)

computeCentroid

public Vec3D computeCentroid()

computeNormal

public Vec3D computeNormal()

containsPoint

public boolean containsPoint(ReadonlyVec3D p)

Checks if point vector is inside the triangle created by the points a, b and c. These points will create a plane and the point checked will have to be on this plane in the region between a,b,c. Note: The triangle must be defined in clockwise order a,b,c

Specified by:

containsPoint in interface Shape3D

Returns:

true, if point is in triangle.

flipVertexOrder

public Triangle3D flipVertexOrder()

fromBarycentric

public Vec3D fromBarycentric(ReadonlyVec3D p)

getBoundingBox

public AABB getBoundingBox()

getClosestPointTo

public Vec3D getClosestPointTo(ReadonlyVec3D p)

Finds and returns the closest point on any of the triangle edges to the point given.

Parameters:

p - point to check

Returns:

closest point

isClockwiseInXY

public boolean isClockwiseInXY()

isClockwiseInXZ

public boolean isClockwiseInXZ()

isClockwiseInYZ

public boolean isClockwiseInYZ()

set

public void set(Vec3D a2,
                Vec3D b2,
                Vec3D c2)

toBarycentric

public Vec3D toBarycentric(ReadonlyVec3D p)

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object