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scalismo.faces.mesh

DiscreteLaplaceBeltrami

Related Doc: package mesh

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object DiscreteLaplaceBeltrami

Construct a discrete Lapalace-Beltrami operators from different types of weights.

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Type Members

  1. type WeightFunction = (PointId, PointId) ⇒ Double

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Value Members

  1. final def !=(arg0: Any): Boolean

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  2. final def ##(): Int

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  3. final def ==(arg0: Any): Boolean

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  4. final def asInstanceOf[T0]: T0

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  5. def clone(): AnyRef

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    @HotSpotIntrinsicCandidate() @throws( ... )

  6. def cotangentWeight(ref: TriangleMesh3D): WeightFunction

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    Constructs a cotangent weight function.

    Constructs a cotangent weight function. w_ij = 0.5 * ( cot(alpha_ij) + cot(beta_ij) )

    Cotangent weight between two vertices x_i and x_j in a triangulated mesh is the sum of the cotangent of opposing angles alpha_1 and alpha_2. Consider the two triangles: .-------------------. x_i - alpha_ij - - - - - - - - - - - - - - - - beta_ij - x_j .-------------------.

    ref

    : Mesh used to calculate cotangent weights.

    returns

    DenseMatrix[Double]

  7. final def eq(arg0: AnyRef): Boolean

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  8. def equals(arg0: Any): Boolean

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  9. final def getClass(): Class[_]

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  10. def hashCode(): Int

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  11. def heatKernelWeights(ref: TriangleMesh3D, diffusionDistance: Double): WeightFunction

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    Constructs a weight function which is the heat kernel value k(x1,x2) = exp(- ||x1-x2||2 / diffusionDistance2 )

  12. final def isInstanceOf[T0]: Boolean

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  13. def laplaceBeltramiMatrix(triangulation: TriangleList, weightFun: WeightFunction): CSCMatrix[Double]

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    Constructs a Laplace-Beltrami matrix from a given weight function where its rows and columns correspond to the PointIds of the given triangulation.

  14. final def ne(arg0: AnyRef): Boolean

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  15. final def notify(): Unit

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  16. final def notifyAll(): Unit

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  17. final def synchronized[T0](arg0: ⇒ T0): T0

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  18. def toString(): String

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  19. def unitWeight(i: PointId, j: PointId): Double

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  20. final def wait(arg0: Long, arg1: Int): Unit

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  21. final def wait(arg0: Long): Unit

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  22. final def wait(): Unit

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Deprecated Value Members

  1. def finalize(): Unit

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    @Deprecated @deprecated @throws( classOf[java.lang.Throwable] )
    Deprecated

    (Since version ) see corresponding Javadoc for more information.

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