2012/4/11 Olga Sorkine Tel Aviv University Daniel Cohen-Or Tel Aviv University presented by sunwei.

2012/4/11

Olga SorkineTel Aviv University

Daniel Cohen-OrTel Aviv University

presented by sunwei

1. Problem description

2. Solution of this paper

3. Solution details

Fill the hole

Tele-registration

How to fill the gap between them ??

Solution of this paper

Control points Reconstructed model

1. Select control points and analyse the constrains

2. Solve the linear least-square system

3. Fill out the hole

------ Analyse the constrains

a. Random selection

b. One-by-one greedy selection

c. Combined local maxima method

Control points

1. Select control points

2. Analyse the constrains

a. Connected parts should be as smooth as possible

b. Newly reconstructed control points should be as much close as original ones

------ Solve the linear matrix

Constrain a Constrain b

R: points of Removed geometry

C: Control points

X: Rx+Cx

Xs: Cx

Vs: Original Control points “[ C ]”

.Points that we are going to approximate on part R and C

.Points that we are going to approximate on “part C”

X = R + C

R

C

Pay attention to these two point

1.Connectivity of the reconstruct part should be given

2. Part C will also be reconstructed, not just Part R

W: weight of the control points constrains

Xs is getting closer to Vs

W tends to infinity

Xs = Vs

Solution result

Figure out Matrix X

Fill out the hole on the hump

------ Fill out the gap

Have you understood?