Abstract
We propose a method for propagating edit operations in 2D vector graphics, based on geometric relationship functions. These functions quantify the geometric relationship of a point to a polygon, such as the distance to the boundary or the direction to the closest corner vertex. The level sets of the relationship functions describe points with the same relationship to a polygon. For a given query point, we first determine a set of relationships to local features, construct all level sets for these relationships, and accumulate them. The maxima of the resulting distribution are points with similar geometric relationships. We show extensions to handle mirror symmetries, and discuss the use of relationship functions as local coordinate systems. Our method can be applied, for example, to interactive floorplan editing, and it is especially useful for large layouts, where individual edits would be cumbersome. We demonstrate populating 2D layouts with tens to hundreds of objects by propagating relatively few edit operations.
| Original language | English (US) |
|---|---|
| Article number | 15 |
| Journal | ACM Transactions on Graphics |
| Volume | 33 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2014 |
| Externally published | Yes |
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Keywords
- Edit propagation
- Geometric relationships
ASJC Scopus subject areas
- Computer Graphics and Computer-Aided Design
Cite this
Edit propagation using geometric relationship functions. / Guerrero, Paul; Jeschke, Stefan; Wimmer, Michael; Wonka, Peter.
In: ACM Transactions on Graphics, Vol. 33, No. 2, 15, 2014.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Edit propagation using geometric relationship functions
AU - Guerrero, Paul
AU - Jeschke, Stefan
AU - Wimmer, Michael
AU - Wonka, Peter
PY - 2014
Y1 - 2014
N2 - We propose a method for propagating edit operations in 2D vector graphics, based on geometric relationship functions. These functions quantify the geometric relationship of a point to a polygon, such as the distance to the boundary or the direction to the closest corner vertex. The level sets of the relationship functions describe points with the same relationship to a polygon. For a given query point, we first determine a set of relationships to local features, construct all level sets for these relationships, and accumulate them. The maxima of the resulting distribution are points with similar geometric relationships. We show extensions to handle mirror symmetries, and discuss the use of relationship functions as local coordinate systems. Our method can be applied, for example, to interactive floorplan editing, and it is especially useful for large layouts, where individual edits would be cumbersome. We demonstrate populating 2D layouts with tens to hundreds of objects by propagating relatively few edit operations.
AB - We propose a method for propagating edit operations in 2D vector graphics, based on geometric relationship functions. These functions quantify the geometric relationship of a point to a polygon, such as the distance to the boundary or the direction to the closest corner vertex. The level sets of the relationship functions describe points with the same relationship to a polygon. For a given query point, we first determine a set of relationships to local features, construct all level sets for these relationships, and accumulate them. The maxima of the resulting distribution are points with similar geometric relationships. We show extensions to handle mirror symmetries, and discuss the use of relationship functions as local coordinate systems. Our method can be applied, for example, to interactive floorplan editing, and it is especially useful for large layouts, where individual edits would be cumbersome. We demonstrate populating 2D layouts with tens to hundreds of objects by propagating relatively few edit operations.
KW - Edit propagation
KW - Geometric relationships
UR - http://www.scopus.com/inward/record.url?scp=84899126716&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84899126716&partnerID=8YFLogxK
U2 - 10.1145/2591010
DO - 10.1145/2591010
M3 - Article
VL - 33
JO - ACM Transactions on Graphics
JF - ACM Transactions on Graphics
SN - 0730-0301
IS - 2
M1 - 15
ER -