Class Triangle3

三角形

Hierarchy

Triangle3

Constructors

constructor

new Triangle3(p0?: Vector3, p1?: Vector3, p2?: Vector3): Triangle3
构造三角形
Parameters
- p0: Vector3 = ...
  
  三角形0号点
- p1: Vector3 = ...
  
  三角形1号点
- p2: Vector3 = ...
  
  三角形2号点
Returns Triangle3
- Defined in src/math/geom/Triangle3.ts:32

Properties

p0

三角形0号点

p1

三角形1号点

p2

三角形2号点

Methods

area

area(): number
面积

Returns number
- Defined in src/math/geom/Triangle3.ts:556

blendWithPoint

blendWithPoint(p: Vector3): Vector3
获取指定点分别占三个点的混合值
Parameters
- p: Vector3
Returns Vector3
- Defined in src/math/geom/Triangle3.ts:404

clone

clone(): Triangle3
克隆

Returns Triangle3
- Defined in src/math/geom/Triangle3.ts:662

closestPointWithPoint

closestPointWithPoint(point: Vector3, vout?: Vector3): Vector3
与指定点最近的点
Parameters
- point: Vector3
  
  点
- vout: Vector3 = ...
  
  输出点
Returns Vector3
- Defined in src/math/geom/Triangle3.ts:437

copy

copy(triangle: Triangle3): Triangle3
复制
Parameters
- triangle: Triangle3
  
  三角形
Returns Triangle3
- Defined in src/math/geom/Triangle3.ts:650

decomposeWithLine

decomposeWithLine(line: Line3): Triangle3[]
用直线分解（切割）三角形
Parameters
- line: Line3
  
  直线
Returns Triangle3[]
- Defined in src/math/geom/Triangle3.ts:539

decomposeWithPoint

decomposeWithPoint(p: Vector3): Triangle3[]
用点分解（切割）三角形
Parameters
- p: Vector3
Returns Triangle3[]
- Defined in src/math/geom/Triangle3.ts:473

decomposeWithPoints

decomposeWithPoints(ps: Vector3[]): Triangle3[]
用点分解（切割）三角形
Parameters
- ps: Vector3[]
Returns Triangle3[]
- Defined in src/math/geom/Triangle3.ts:502

decomposeWithSegment

decomposeWithSegment(segment: Segment3): Triangle3[]
用线段分解（切割）三角形
Parameters
- segment: Segment3
  
  线段
Returns Triangle3[]
- Defined in src/math/geom/Triangle3.ts:521

distanceSquaredWithPoint

distanceSquaredWithPoint(point: Vector3): number
与点最近距离平方
Parameters
- point: Vector3
  
  点
Returns number
- Defined in src/math/geom/Triangle3.ts:465

distanceWithPoint

distanceWithPoint(point: Vector3): number
与点最近距离
Parameters
- point: Vector3
  
  点
Returns number
- Defined in src/math/geom/Triangle3.ts:456

fromPoints

fromPoints(p0: Vector3, p1: Vector3, p2: Vector3): Triangle3
通过3顶点定义一个三角形
Parameters
- p0: Vector3
  
  点0
- p1: Vector3
  
  点1
- p2: Vector3
  
  点2
Returns Triangle3
- Defined in src/math/geom/Triangle3.ts:133

fromPositions

fromPositions(positions: number[]): Triangle3
从顶点数据初始化三角形
Parameters
- positions: number[]
  
  顶点数据
Returns Triangle3
- Defined in src/math/geom/Triangle3.ts:146

getBarycenter

getBarycenter(pout?: Vector3): Vector3
重心,三条中线相交的点叫做重心。
Parameters
- pout: Vector3 = ...
Returns Vector3
- Defined in src/math/geom/Triangle3.ts:74

getBarycentricCoordinates

getBarycentricCoordinates(p: Vector3, bp?: Vector3): Vector3
求给出点的重心坐标系坐标

Returns
重心坐标系坐标

See
3D数学基础：图形与游戏开发 P252 P249
Parameters
- p: Vector3
  
  点
- bp: Vector3 = ...
  
  用于接收重心坐标系坐标
Returns Vector3
- Defined in src/math/geom/Triangle3.ts:322

getCircumcenter

getCircumcenter(pout?: Vector3): Vector3
外心，外切圆心,三角形三边的垂直平分线的交点，称为三角形外心。

See
https://baike.baidu.com/item/%E4%B8%89%E8%A7%92%E5%BD%A2%E4%BA%94%E5%BF%83/218867
Parameters
- pout: Vector3 = ...
Returns Vector3
- Defined in src/math/geom/Triangle3.ts:83

getInnercenter

getInnercenter(pout?: Vector3): Vector3
内心，内切圆心,三角形内心为三角形三条内角平分线的交点。

See
https://baike.baidu.com/item/%E4%B8%89%E8%A7%92%E5%BD%A2%E4%BA%94%E5%BF%83/218867
Parameters
- pout: Vector3 = ...
Returns Vector3
- Defined in src/math/geom/Triangle3.ts:100

getNormal

getNormal(vout?: Vector3): Vector3
获取法线
Parameters
- vout: Vector3 = ...
Returns Vector3
- Defined in src/math/geom/Triangle3.ts:66

getOrthocenter

getOrthocenter(pout?: Vector3): Vector3
垂心，三角形三边上的三条高或其延长线交于一点，称为三角形垂心。

See
https://baike.baidu.com/item/%E4%B8%89%E8%A7%92%E5%BD%A2%E4%BA%94%E5%BF%83/218867
Parameters
- pout: Vector3 = ...
Returns Vector3
- Defined in src/math/geom/Triangle3.ts:114

getPlane3d

getPlane3d(pout?: Plane): Plane
三角形所在平面
Parameters
- pout: Plane = ...
Returns Plane
- Defined in src/math/geom/Triangle3.ts:58

getPoint

getPoint(p: Vector3, pout?: Vector3): Vector3
获取三角形内的点
Parameters
- p: Vector3
  
  三点的权重（重心坐标系坐标）
- pout: Vector3 = ...
  
  输出点
Returns Vector3
- Defined in src/math/geom/Triangle3.ts:173

getPoints

getPoints(): Vector3[]
三角形三个点

Returns Vector3[]
- Defined in src/math/geom/Triangle3.ts:42

getSegments

getSegments(): Segment3[]
三边

Returns Segment3[]
- Defined in src/math/geom/Triangle3.ts:50

intersectionWithLine

intersectionWithLine(line: Line3): Vector3 | Segment3
获取与直线相交，当直线与三角形不相交时返回null
Parameters
- line: Line3
Returns Vector3 | Segment3
- Defined in src/math/geom/Triangle3.ts:194

intersectionWithSegment

intersectionWithSegment(segment: Segment3): Vector3 | Segment3
获取与线段相交
Parameters
- segment: Segment3
Returns Vector3 | Segment3
- Defined in src/math/geom/Triangle3.ts:251

onWithPoint

onWithPoint(p: Vector3, precision?: number): boolean
判定点是否在三角形上
Parameters
- p: Vector3
  
  点
- precision: number = mathUtil.PRECISION
  
  精度，如果距离小于精度则判定为在三角形上
Returns boolean
- Defined in src/math/geom/Triangle3.ts:285

random

random(size?: number): Triangle3
随机三角形
Parameters
- size: number = 1
  
  尺寸
Returns Triangle3
- Defined in src/math/geom/Triangle3.ts:159

randomPoint

randomPoint(pout?: Vector3): Vector3
获取三角形内随机点
Parameters
- pout: Vector3 = ...
  
  输出点
Returns Vector3
- Defined in src/math/geom/Triangle3.ts:182

rasterize

rasterize(): number[]
栅格化，点阵化为XYZ轴间距为1的点阵

Returns number[]
- Defined in src/math/geom/Triangle3.ts:564

rasterizeCustom

rasterizeCustom(voxelSize?: Vector3, origin?: Vector3): {
    xi: number;
    xv: number;
    yi: number;
    yv: number;
    zi: number;
    zv: number;
}[]
自定义栅格化为点阵
Parameters
- voxelSize: Vector3 = ...
  
  体素尺寸，点阵XYZ轴间距
- origin: Vector3 = ...
  
  原点，点阵中的某点正处于原点上，因此可以用作体素范围内的偏移
Returns {
    xi: number;
    xv: number;
    yi: number;
    yv: number;
    zi: number;
    zv: number;
}[]
- Defined in src/math/geom/Triangle3.ts:627

scaleVector3

scaleVector3(v: Vector3): Triangle3
缩放
Parameters
- v: Vector3
  
  缩放量
Returns Triangle3
- Defined in src/math/geom/Triangle3.ts:613

translateVector3

translateVector3(v: Vector3): Triangle3
平移
Parameters
- v: Vector3
  
  向量
Returns Triangle3
- Defined in src/math/geom/Triangle3.ts:600

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