navigation

barycentric
coordinates
[18]
coordinates

a new stable method to compute mean value coordinates

c.fuda · k.hormann

computer aided geometric design · 2024

a survey on cage-based deformation of 3d models

d.ströter · j.-m.thiery · k.hormann · j.chen · q.chang · s.besler · j.s.mueller-roemer · t.boubekeur · a.stork · d.w.fellner

computer graphics forum · 2024

maximum likelihood coordinates

q.chang · c.deng · k.hormann

computer graphics forum · 2023

iterative coordinates

c.deng · q.chang · k.hormann

computer aided geometric design · 2020

behaviour of exponential three-point coordinates at the vertices of convex polygons

d.anisimov · k.hormann · t.schneider

journal of computational and applied mathematics · 2019

efficient path generation with reduced coordinates

r.chen · c.gotsman · k.hormann

computer graphics forum · 2018

generalized barycentric coordinates in computer graphics and computational mechanics

k.hormann · n.sukumar

crc press · 2017

parametric finite elements with bijective mappings

p.zulian · t.schneider · k.hormann · r.krause

bit numerical mathematics · 2017

blended barycentric coordinates

d.anisimov · d.panozzo · k.hormann

computer aided geometric design · 2017

discretizing wachspress kernels is safe

k.hormann · j.kosinka

computer aided geometric design · 2017

subdividing barycentric coordinates

d.anisimov · c.deng · k.hormann

computer aided geometric design · 2016

2d generalized barycentric coordinates

d.anisimov · d.bommes · k.hormann · p.alliez

cgal 4.6 · 2015

local barycentric coordinates

j.zhang · b.deng · z.liu · g.patanè · s.bouaziz · k.hormann · l.liu

acm transactions on graphics · 2014

bijective composite mean value mappings

t.schneider · k.hormann · m.s.floater

computer graphics forum · 2013

a complex view of barycentric mappings

o.weber · m.ben-chen · c.gotsman · k.hormann

computer graphics forum · 2011

maximum entropy coordinates for arbitrary polytopes

k.hormann · n.sukumar

computer graphics forum · 2008

mean value coordinates for arbitrary planar polygons

k.hormann · m.s.floater

acm transactions on graphics · 2006

a general construction of barycentric coordinates over convex polygons

m.s.floater · k.hormann · g.kós

advances in computational mathematics · 2006


barycentric
rational
interpolation
[20]
rational interpolation

algorithm xxx: a c++ class for robust linear barycentric rational interpolation

c.fuda · k.hormann

acm transactions on mathematical software · 2024

a comprehensive comparison of algorithms for evaluating rational bézier curves

c.fuda · a.ramanantoanina · k.hormann

dolomites research notes on approximation · 2024

shape control tools for periodic bézier curves

a.ramanantoanina · k.hormann

computer aided geometric design · 2023

on the numerical stability of linear barycentric rational interpolation

c.fuda · r.campagna · k.hormann

numerische mathematik · 2022

new shape control tools for rational bézier curve design

a.ramanantoanina · k.hormann

computer aided geometric design · 2021

convergence rates of a hermite generalization of floater–hormann interpolants

e.cirillo · k.hormann · j.sidon

journal of computational and applied mathematics · 2020

on the lebesgue constant of barycentric rational hermite interpolants at equidistant nodes

e.cirillo · k.hormann

journal of computational and applied mathematics · 2019

an iterative approach to barycentric rational hermite interpolation

e.cirillo · k.hormann

numerische mathematik · 2018

reconstruction of a function from hermite–birkhoff data

f.dell'accio · f.di tommaso · k.hormann

applied mathematics and computation · 2018

convergence rates of derivatives of floater–hormann interpolants for well-spaced nodes

e.cirillo · k.hormann · j.sidon

applied numerical mathematics · 2017

multinode rational operators for univariate interpolation

f.dell'accio · f.di tommaso · k.hormann

numerical computations: theory and algorithms · 2016

on the enhancement of the approximation order of triangular shepard method

f.dell'accio · f.di tommaso · k.hormann

numerical computations: theory and algorithms · 2016

pyramid algorithms for barycentric rational interpolation

k.hormann · s.schaefer

computer aided geometric design · 2016

on the approximation order of triangular shepard interpolation

f.dell'accio · f.di tommaso · k.hormann

ima journal of numerical analysis · 2016

barycentric interpolation

k.hormann

approximation theory xiv: san antonio 2013 · 2014

bounding the lebesgue constant for berrut's rational interpolant at general nodes

l.bos · s.de marchi · k.hormann · j.sidon

journal of approximation theory · 2013

on the lebesgue constant of barycentric rational interpolation at equidistant nodes

l.bos · s.de marchi · k.hormann · g.klein

numerische mathematik · 2012

barycentric rational interpolation at quasi-equidistant nodes

k.hormann · g.klein · s.de marchi

dolomites research notes on approximation · 2012

on the lebesgue constant of berrut's rational interpolant at equidistant nodes

l.bos · s.de marchi · k.hormann

journal of computational and applied mathematics · 2011

barycentric rational interpolation with no poles and high rates of approximation

m.s.floater · k.hormann

numerische mathematik · 2007


subdivision
[17]
subdivision

non-uniform interpolatory subdivision schemes with improved smoothness

n.dyn · k.hormann · c.mancinelli

computer aided geometric design · 2022

symmetric four-directional bivariate pseudo-spline symbols

c.conti · c.deng · k.hormann

computer aided geometric design · 2018

univariate subdivision schemes for noisy data with geometric applications

n.dyn · a.heard · k.hormann · n.sharon

computer aided geometric design · 2015

pseudo-spline subdivision surfaces

c.deng · k.hormann

computer graphics forum · 2014

on the norms of the dubuc–deslauriers subdivision schemes

c.deng · k.hormann · z.zhang

computer aided geometric design · 2013

generalized lane–riesenfeld algorithms

t.j.cashman · k.hormann · u.reif

computer aided geometric design · 2013

geometric conditions for tangent continuity of interpolatory planar subdivision curves

n.dyn · k.hormann

computer aided geometric design · 2012

polynomial reproduction for univariate subdivision schemes of any arity

c.conti · k.hormann

journal of approximation theory · 2011

parameterizing subdivision surfaces

l.he · s.schaefer · k.hormann

acm transactions on graphics · 2010

properties of dual pseudo-splines

b.dong · n.dyn · k.hormann

applied and computational harmonic analysis · 2010

four-point curve subdivision based on iterated chordal and centripetal parameterizations

n.dyn · m.s.floater · k.hormann

computer aided geometric design · 2009

efficient evaluation of interpolating cubic polynomials

k.hormann

technical report · 2008

polynomial reproduction by symmetric subdivision schemes

n.dyn · k.hormann · m.a.sabin · z.shen

journal of approximation theory · 2008

a family of subdivision schemes with cubic precision

k.hormann · m.a.sabin

computer aided geometric design · 2008

a c² four-point subdivision scheme with fourth order accuracy and its extensions

n.dyn · m.s.floater · k.hormann

mathematical methods for curves and surfaces · 2005

an easy way of detecting subdivision connectivity in a triangle mesh

k.hormann

technical report · 2002

a sub-atomic subdivision approach

s.seeger · k.hormann · g.häusler · g.greiner

vision, modeling, and visualization · 2001


dynamic geometry
[15]
volume

exploring compression in edge shape space

s.marras · k.hormann

technical report · 2015

smooth bijective maps between arbitrary planar polygons

t.schneider · k.hormann

computer aided geometric design · 2015

perception-driven adaptive compression of static triangle meshes

s.marras · l.váša · g.brunnett · k.hormann

computer-aided design · 2015

curvature-based blending of closed planar curves

m.saba · t.schneider · r.scateni · k.hormann

graphical models · 2014

compressing dynamic meshes with geometric laplacians

l.váša · s.marras · k.hormann · g.brunnett

computer graphics forum · 2014

efficient interpolation of articulated shapes using mixed shape spaces

s.marras · t.j.cashman · k.hormann

computer graphics forum · 2013

a mixed shape space for fast interpolation of articulated shapes

s.marras · t.j.cashman · k.hormann

vision, modeling, and visualization · 2012

motion-based mesh segmentation using augmented silhouettes

s.marras · m.bronstein · k.hormann · r.scateni · r.scopigno

graphical models · 2012

a continuous, editable representation for deforming mesh sequences with separate signals for time, pose and shape

t.j.cashman · k.hormann

computer graphics forum · 2012

multi-scale geometry interpolation

t.winkler · j.drieseberg · m.alexa · k.hormann

computer graphics forum · 2010

thinning mesh animations

t.winkler · j.drieseberg · a.hasenfuß · b.hammer · k.hormann

vision, modeling, and visualization · 2008

interactive rendering of dynamic geometry

f.ponchio · k.hormann

ieee transactions on visualization and computer graphics · 2008

hierarchical iso-surface extraction

u.labsik · k.hormann · m.meister · g.greiner

journal of computing and information science in engineering · 2002

hierarchical extraction of iso-surfaces with semi-regular meshes

k.hormann · u.labsik · m.meister · g.greiner

solid modeling and applications · 2002

interactive repositioning of bone fracture segments

m.scheuering · c.rezk-salama · c.eckstein · k.hormann · g.greiner

vision, modeling, and visualization · 2001


parameterization
[11]
parameterization

parameterizing subdivision surfaces

l.he · s.schaefer · k.hormann

acm transactions on graphics · 2010

mesh parameterization: theory and practice

k.hormann · k.polthier · a.sheffer

siggraph asia course notes · 2008

mesh massage: a versatile mesh optimization framework

t.winkler · k.hormann · c.gotsman

the visual computer · 2008

mesh parameterization: theory and practice

k.hormann · b.lévy · a.sheffer

siggraph course notes · 2007

surface parameterization: a tutorial and survey

m.s.floater · k.hormann

advances in multiresolution for geometric modelling · 2005

polycube-maps

m.tarini · k.hormann · p.cignoni · c.montani

acm transactions on graphics · 2004

parameterization of triangulations and unorganized points

m.s.floater · k.hormann

tutorials on multiresolution in geometric modelling · 2002

parameterization of manifold triangulations

m.s.floater · k.hormann · m.reimers

approximation theory x · 2002

theory and applications of parameterizing triangulations

k.hormann

phd thesis · 2001

mips: an efficient global parametrization method

k.hormann · g.greiner

curve and surface design · 2000

hierarchical parametrization of triangulated surfaces

k.hormann · g.greiner s.campagna

vision, modeling, and visualization · 1999


surface
reconstruction
[11]
reconstruction

lfs-aware surface reconstruction from unoriented 3d point clouds

r.fu · k.hormann · p.alliez

ieee transactions on multimedia · 2024

a linear method to consistently orient normals of a 3d point cloud

c.gotsman · k.hormann

siggraph · 2024

modeling transformation paths of multiphase materials: the triple point of zirconia

p.w.dondl · k.hormann · j.zimmer

physical review b · 2009

neural gas for surface reconstruction

m.melato · b.hammer · k.hormann

technical report · 2007

on landau theory and symmetric energy landscapes for phase transitions

k.hormann · j.zimmer

journal of the mechanics and physics of solids · 2007

c¹-continuous terrain reconstruction from sparse contours

k.hormann · s.spinello · p.schröder

vision, modeling, and visualization · 2003

triangulating point clouds with spherical topology

k.hormann · m.reimers

curve and surface design · 2003

from scattered samples to smooth surfaces

k.hormann

geometric modeling and computer graphics · 2003

c²-continuous surface reconstruction with piecewise polynomial patches

m.wagner · k.hormann · g.greiner

technical report · 2003

fitting free form surfaces

k.hormann

principles of 3d image analysis and synthesis · 2000

interpolating and approximating scattered 3d-data with hierarchical tensor roduct b-splines

g.greiner · k.hormann

surface fitting and multiresolution methods · 1997

glatte approximation mit hierarchischen splineflächen

k.hormann

diploma thesis · 1997


rendering
[6]
rendering

creating light atlases with multi-bounce indirect illumination

r.schärfig · m.stamminger · k.hormann

computers & graphics · 2016

hardware accelerated 3d mesh painting

r.schärfig · k.hormann

vision, modeling, and visualization · 2010

a hybrid gpu rendering pipeline for alias-free hard shadows

s.hertel · k.hormann · r.westermann

eurographics areas · 2009

interactive rendering of dynamic geometry

f.ponchio · k.hormann

ieee transactions on visualization and computer graphics · 2008

polycube-maps

m.tarini · k.hormann · p.cignoni · c.montani

acm transactions on graphics · 2004

a quadrilateral rendering primitive

k.hormann · m.tarini

graphics hardware · 2004


remeshing
[5]
remeshing

mesh massage: a versatile mesh optimization framework

t.winkler · k.hormann · c.gotsman

the visual computer · 2008

remeshing triangulated surfaces with optimal parameterizations

k.hormann · u.labsik · g.greiner

computer-aided design · 2001

optimizing 3d triangulations using discrete curvature analysis

n.dyn · k.hormann · s.-j.kim · d.levin

mathematical methods for curves and surfaces · 2001

quadrilateral remeshing

k.hormann · g.greiner

vision, modeling, and visualization · 2000

using most isometric parametrizations for remeshing polygonal surfaces

u.labsik · k.hormann · g.greiner

geometric modeling and processing · 2000


curves
[7]
ph curves

trigonometric tangent interpolating curves

a.ramanantoanina · k.hormann

pacific graphics · 2024

new algebraic and geometric characterizations of planar quintic pythagorean-hodograph curves

k.hormann · l.romani · a.viscardi

computer aided geometric design · 2024

shape control tools for periodic bézier curves

a.ramanantoanina · k.hormann

computer aided geometric design · 2023

new shape control tools for rational bézier curve design

a.ramanantoanina · k.hormann

computer aided geometric design · 2021

singular cases of planar and spatial c¹ hermite interpolation problems based on quintic pythagorean-hodograph curves

r.t.farouki · k.hormann · f.nudo

computer aided geometric design · 2020

algebraic and geometric characterizations of a class of planar quartic curves with rational offsets

k.hormann · j.zheng

computer aided geometric design · 2020


paths
[7]
paths

efficient point-to-point resistance distance queries in large graphs

c.gotsman · k.hormann

journal of graph algorithms and applications · 2023

compressing geodesic information for fast point-to-point geodesic distance queries

c.gotsman · k.hormann

siggraph asia · 2022

on landmark distances in polygons

c.gotsman · k.hormann

computer graphics forum · 2021

de-path: a differential-evolution-based method for computing energy-minimizing paths on surfaces

z.ye · y.-j.liu · j.zheng · k.hormann · y.he

computer-aided design · 2019

path planning with divergence-based distance functions

r.chen · c.gotsman · k.hormann

computer aided geometric design · 2018

efficient path generation with reduced coordinates

r.chen · c.gotsman · k.hormann

computer graphics forum · 2018

on divergence-based distance functions for multiply-connected domains

r.chen · c.gotsman · k.hormann

arXiv · 2018


polygons
[3]
polygon

clipping simple polygons with degenerate intersections

e.l.foster · k.hormann · r.t.popa

computers & graphics · 2019

the point in polygon problem for arbitrary polygons

k.hormann · a.agathos

computational geometry · 2001

efficient clipping of arbitrary polygons

g.greiner · k.hormann

acm transactions on graphics · 1998


symbolic computing
[2]

range functions of any convergence order and their amortized complexity analysis

k.hormann · c.yap · y.s.zhang

computer algebra in scientific computing · 2023

novel range functions via taylor expansions and recursive lagrange interpolation with application to real root isolation

k.hormann · l.kania · c.yap

international symposium on symbolic and algebraic computation · 2021


cryptography
[1]

secure data hiding for digital contact tracing

c.gotsman · k.hormann

arXiv · 2020


image processing
[1]

histogram equalization using a selective filter

r.m.dyke · k.hormann

the visual computer · 2023


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