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Multiscale Vector Volumes SIGGRAPH Asia 2012. Lvdi Wang, Yizhou Yu, Kun Zhou, Baining Guo Tsinghua University, The University of Hong Kong, Zhejiang University, Microsoft Research Asia, Tsinghua University. Overview. A compact vector representation for volumetric objects with

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multiscale vector volumes siggraph asia 2012

Multiscale Vector VolumesSIGGRAPH Asia 2012

Lvdi Wang, Yizhou Yu, Kun Zhou, BainingGuo

Tsinghua University, The University of Hong Kong, Zhejiang University, Microsoft Research Asia,

Tsinghua University

overview
Overview

A compact vector representation for volumetric objects with

complex internal structures spanning a wide range of scales.

key idea
Key idea

Decompose a complex object into individual

volumetric components with respect to its multi-scale structure,

and preserve the boundary shape of each component in

a resolution-independent way.

This is achieved by hierarchically

dividing an entire volumetric object into multiple non-overlapping

regions using multiple continuous signed distance

functions (SDFs).

challenge
Challenge
  • Constructing high-quality digital models with complex volumetric property, we have to face 2 task.

--how can we compactly represent volumetric structures and patterns spanning a wide range of scales

--how can we represent high-frequency features in a resolution-independent way

challenge1
Challenge

Visual artifacts: Anomalies during visual representation of e.g. digital

graphics and imagery.

volumetric object should be
Volumetric object should be

Expressiveness:

It should be able to represent volumetric

objects with spatial structures spanning a wide range of

scales and including complex non-manifold features.

High frequency features should remain sharp during

magnification.

Ease of editing:

It should be easy and intuitive to

create novel objects and edit existing ones using this

representation.

volumetric object should be1
Volumetric object should be

Random access:

To be able to provide a timely response to user

interactions, fast visualization is required, which further

demands efficient random access to the volumetric

content.

Compactness:

Given the limited memory on current graphics

cards, the representation should be as compact

as possible.

sdf tree
SDF tree

Limitation:

It can only divide a volume into two-colorable regions

The bold arrows illustrate the traversal

Path to evaluate the color at location Pa

content creation
Content creation
  • Planning stage

--rely on user’s knowledge to conceptually decompose the object in a hierarchical way

  • Creation stage

--User need to create the object and assemble them together into linked SDF tree

rendering
Rendering
  • Traverse the SDF tree to decide which region a location p belong.
  • Antialiasing