Spherical harmonics for surface parametrisation and remeshing

QR Code

Spherical harmonics for surface parametrisation and remeshing

This paper proposes a novel method for parametrisation and remeshing incomplete and irregular polygonal meshes. Spherical harmonics basis functions are used for parametrisation. This involves least squares fitting of spherical harmonics basis functions to the surface mesh. Tikhonov regularisation is...

Full description

Bibliographic Details
Main Authors:	Nortje, Caitlin R., Ward, Wil O.C., Neuman, Bartosz P., Bai, Li
Format:	Article
Published:	Hindawi Publishing Corporation 2015
Online Access:	https://eprints.nottingham.ac.uk/37741/

Similar Items

A surface spherical harmonic expansion of gravity anomalies on the ellipsoid
by: Claessens, Sten, et al.
Published: (2015)

Hierarchical remeshing strategies with mesh mapping for topology optimisation
by: Panesar, Ajit, et al.
Published: (2017)

Spherical harmonic analysis of a harmonic function given on a spheroid
by: Claessens, Sten
Published: (2016)

Optimal control of nonlinear Markov jump systems by control parametrisation technique
by: Jin, L., et al.
Published: (2022)

Layer-Based Modelling of the Earth’s Gravitational Potential up to 10-km Scale in Spherical Harmonics in Spherical and Ellipsoidal Approximation
by: Rexer, M., et al.
Published: (2016)

New Relations Among Associated Legendre Functions and Spherical Harmonics
by: Claessens, Sten
Published: (2005)

Signal processing in diffusion MRI : high quality signal reconstruction
by: Neuman, Bartosz P.
Published: (2014)

Efficient and accurate high-degree spherical harmonic synthesis of gravity field functionals at the Earth's surface using the gradient approach.
by: Hirt, Christian
Published: (2012)

Introducing anisotropic tensor to high order variational model for image restoration
by: Duan, Jinming, et al.
Published: (2017)

Magnetic Induction Tomography using Vector Spherical Harmonic Magnetic Fields and Quantum Sensing
by: Perarulalan, Nandhakishore
Published: (2025)

Distribution-based fuzzy clustering of electrical resistivity tomography images for interface detection
by: Ward, Wil O.C., et al.
Published: (2014)

Prediction of vertical deflections from high-degree spherical harmonic synthesis and residual terrain model data
by: Hirt, Christian
Published: (2009)

Divergence-free spherical harmonic gravity field modelling based on the Runge–Krarup theorem: a case study for the Moon
by: Bucha, B., et al.
Published: (2018)

Evaluation of the third- and fourth-generation GOCE Earth gravity field models with Australian terrestrial gravity data in spherical harmonics
by: Rexer, Moritz, et al.
Published: (2014)

Convergence and divergence in spherical harmonic series of the gravitational field generated by high-resolution planetary topography—A case study for the Moon
by: Hirt, C., et al.
Published: (2017)

Precision manufacture of spherical and aspheric surfaces on plastics, glass, silicon and germanium
by: Venkatesh, Vasisht, C.
Published: (2003)

Tracking tracer motion in a 4-D electrical resistivity tomography experiment
by: Ward, Wil O.C., et al.
Published: (2016)

On Planar Harmonic Mappings And Minimal Surfaces
by: M. Ali, Rosihan, et al.
Published: (2014)

Development of machine learning techniques for characterising changes in time-lapse resistivity monitoring
by: Ward, Wil O. C.
Published: (2018)

Bifurcations with spherical symmetry
by: Sigrist, Rachel
Published: (2010)

New views of the spherical Bouguer gravity anomaly
by: Vanicek, P., et al.
Published: (2004)

Spherical vortices in rotating fluids
by: Scase, Matthew M., et al.
Published: (2018)

Truncation of Spherical Convolution Integrals with an Isotropic Kernel
by: Vanicek, P., et al.
Published: (2003)

Novel Methods for microglia segmentation, feature extraction and classification
by: Ding, Yuchun, et al.
Published: (2016)

Synthesis of well-defined iron nanoparticles on a spherical model support
by: N.A., Mohd Zabidi, et al.
Published: (2009)

Synthesis of Well-defined Iron Nanoparticles on a Spherical Model Support
by: Mohd Zabidi, N. A., et al.
Published: (2009)

Improvement of harmonics using passive harmonics filter
by: Ruhaizad, Ishak, et al.
Published: (2018)

Al-Biruni's views on the discovery of the spherical earth
by: Mohd Ibrahim, Azhar, et al.
Published: (2011)

Droplet impact dynamics on a spherical particle
by: Mitra, S., et al.
Published: (2013)

Design and development of Spherical Amphibian Vehicle (SAV)
by: Mohd Bazli, Bahar, et al.
Published: (2022)

Evolution and spherical collapse in Einstein-Æther theory and Hořava gravity
by: Bhattacharyya, Jishnu, et al.
Published: (2016)

Relating the Spherical representation of vocational interests to the HEXACO personality model
by: Holtrop, Djurre, et al.
Published: (2015)

A comparison study on the harmonic balance method and rational harmonic balance method for the Duffing-harmonic oscillator
by: Hosen, Md. Alal, et al.
Published: (2016)

Regionalization and harmonization in TVET
by: Setiawan, A., et al.
Published: (2017)

Evaporation of a droplet on a heated spherical particle
by: Gumulya, Monica, et al.
Published: (2015)

The novel bondless wheel, spherical glass chips and a new method of aspheric generation
by: Venkatesh, V. C., et al.
Published: (2005)

Modelling and simulation analysis of rolling motion of spherical robot
by: Kamis, N.N., et al.
Published: (2017)

Stability and imperfection sensitivity of spherical-tip conical shells
by: Khan, Md. Raisuddin, et al.
Published: (1996)

Elasticity tensor inversion from spherical sample measurements
by: Nadri, D., et al.
Published: (2009)

Analytical Wavefront Curvature Correction for Spherical Wave AVO
by: Alulaiw, B., et al.
Published: (2011)