Surface Gallery

 


Quad-net obstacle course:

el3

hyp3

linel3

stairs3

el4

el5

house5

beam6

smbeam6

linel6

dodeca6

monk7

el8

bas8

kpa8

mitsu9

bas10

updwn10

cube3456

octamesh.obj

Semi-structured Quad Mesh

2x2plane

T0

T1

T2

3-gon

5-gon

6-gon

7-gon

8-gon

polar n=3

polar n=4

polar n=5

polar n=6

polar n=7

polar n=8

eop n=3

eop n=5

eop n=6

eop n=7

eop n=8

 

Bicubic Surfaces from Quad Meshes

Output in BV format

cube

threecube

tricube

double torus

matdol

sword

frog


 

 
Curvature continuous bi-4 constructions for scaffold- and sphere-like surfaces
wheelmesh.bv wheelsurf.bv bell_crank_lever.bv elevator_bracket.bv GE_bracket.bv helmet.bv

 

Guided Spline Surfaces

implementation by Jianhua Fan

Input Mesh (.obj file)

pent1

pent2

pent3

pent ellip

tri ellip

tri saddle

Guided Surfaces

Gaussian Curvature Distribution

Output in BV format

pent1

pent2

pent3

pent ellip

tri ellip

tri saddle

 

Concentric Tesselation Maps and Curvature Continuous Guided Surfaces

guide1 bv

guide2 bv

guided surface1 bv

guided surface2 bv


 

On the Curvature of Guided Surfaces

Gaussian Curvature-distribution-vs-degree trade-off

Quad Sprocket(eg Catmull-Clark) layout with different degree of rings

degree (6,6)

degree (5,5)

degree (3,3)

bv file

(6,6)

(5,5)

(3,3)

Triangle Sprocket(eg Loop) layout with different degree of rings

degree 8

degree 4

side view of degree 4

bv file

degree 8

degree 4

Polar layout with different degree of rings

degree (4,3)

degree (3,3)

side view of degree(6,6) and degree(4,3)

bv file

polar(4,3)

polar(3,3)

Construction of degree(3,3)

Input mesh

construction by ADS06

guided construction of degree(3,3)

Gaussian curvature of degree(6,6)

Gaussian curvature of ADS06

Gaussian curvature of degree(3,3)

bv file

(6,6)

ads

guided (3,3)

Construction of degree(3,3) for double-saddle data

Tuned construction of ADS06

Gaussian curvature of tuned ADS06

Gaussian curvature of guided construction of degree(3,3)

guided construction of degree(3,3)

bv file

ads

guided(3,3)

Polar Surfaces

bi5el8

 

LQD + tight meshes

2x T0 lqd

2x T0 tight

2x T1 lqd

2x T1 tight

T0 & T1 lqd

T0 & T1 tight