object Quadrangulation

Linear Supertypes
AnyRef, Any
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. Quadrangulation
  2. AnyRef
  3. Any
  1. Hide All
  2. Show All
Visibility
  1. Public
  2. Protected

Type Members

  1. case class BaryCenter(face: Polygon) extends Vertex with Product with Serializable
  2. case class QuadEdge(face: Polygon, index: Int, positivelyOriented: Boolean) extends OrientedEdge with Product with Serializable
  3. case class QuadFace(face: Polygon, flipFace: Polygon, indexOfEdge: Int, indexOfFlip: Int) extends Polygon with Product with Serializable

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##: Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. def apply(twoComplex: TwoComplex): Quadrangulation
  5. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  6. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  7. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  8. def equals(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef → Any
  9. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  10. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  11. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  12. def isQuadrangulation(twoComplex: TwoComplex): Boolean
  13. def mod(m: Int, n: Int): Int
  14. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  15. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  16. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  17. def quadrangulate(twoComplex: TwoComplex): (TwoComplex, ((EdgePath) => EdgePath, (EdgePath) => EdgePath))

    Gives the quadrangulation of a twocomplex along maps from edgepaths from the twocomplex to paths in the quadragulation.

    Gives the quadrangulation of a twocomplex along maps from edgepaths from the twocomplex to paths in the quadragulation. The forWard EdgePath method turns every edge in the original twoComplex into an EdgePath of length two in the corresponding face in the quadrangulation. The backWard EdgePath method only works if the EdgePath in the quadrangulation starts and ends at pre existing vertices, or is a loop on a barycenter of length more than one. In the first case it returns a fixed end point homotopic path in the original TwoComplex. In the second case if returns a freely homotopic path in the original TwoComplex. In the first case the backWard EdgePath map considers edges in the quadragulation in Pairs. Because the pre existing vertices and the barycenters form a bipartite set in the quadrangulation, a consequtive pair of edges in the quadragulation (say u and v), starting from a (which is a pre existing vertex), passing through b (which is a barycenter) and ending at c (which is a pre existing vertex) is homotopic to a sequence of edges in the face corresponding to b. So we can take such a path. In the second case because the pre existing vertices and the barycenters form a bipartite set in the quadrangulation, shifting the basepoint makes the loop start and end at a pre existing vertex.

  18. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  19. def toString(): String
    Definition Classes
    AnyRef → Any
  20. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  21. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  22. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.Throwable]) @Deprecated
    Deprecated

Inherited from AnyRef

Inherited from Any

Ungrouped