Computational conformal geometry

  • Conformal geometry books

    Conformal manifolds
    where λ is a real-valued smooth function defined on the manifold and is called the conformal factor.
    An equivalence class of such metrics is known as a conformal metric or conformal class.
    Thus, a conformal metric may be regarded as a metric that is only defined "up to scale"..

  • What are the applications of conformal geometry?

    Applied in computer graphics, computer vision, geometric modeling, wireless sensor networking and medical imaging, and many other engineering, medical fields..

  • What do you mean by conformal geometry?

    Conformal geometry is the branch of mathematics that studies the transfor- mations on manifolds that preserve the angles.
    It has a myriad of applications, both in mathematics and in physics..

  • Conformal geometry is the branch of mathematics that studies the transfor- mations on manifolds that preserve the angles.
    It has a myriad of applications, both in mathematics and in physics.
  • The inversive model of conformal geometry consists of the group of local transformations on the Euclidean space En generated by inversion in spheres.
    By Liouville's theorem, any angle-preserving local (conformal) transformation is of this form.
Computational conformal geometry is an interdisciplinary subject area that focuses on algorithmic study of Riemann surface theory.
Computational conformal geometry is also applied in computer vision for human face tracking, recognition, expression transfer; in medical imaging, for brain mapping, virtual colonoscopy, data fusion; in geometric modeling for constructing splines on man- ifolds with general topologies.
Computational conformal geometry is an interdisciplinary subject area that focuses on algorithmic study of Riemann surface theory. This field links very pure areas of abstract mathematics to concrete applications. Recently, conformal geometry has been broadly applied in many engineering fields.
Computational conformal geometry plays an important role in digital geometry pro- cessing. It has been applied in many practical applications already, such as surface re- pairing, smoothing, de-noising, segmentation, feature extraction, registration, re-meshing, mesh spline conversion, animation, and texture synthesis.

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